suppose an astronaut in outer space suddenly discovers that the tether connecting her to the space station is cut and she is slowly drifting away from the station. assuming that she is wearing a tool belt holding several wrenches, how can she move herself back towards the space station?

Answers

Answer 1

The astronaut can she move herself back towards the space station by throwing a tool on the direction opposite to the shuttle.

According to Newton's Third Law, if an astronaut tosses a tool away from the space shuttle, she will exert a force in that direction while also being subject to a reaction force in that same direction. Since there are no drag forces in space, the astronaut's gained acceleration (in accordance with Newton's second law) would eventually propel her back to the shuttle.

According to Newton's second law of motion, force is equal to the rate at which momentum changes. Force is defined as mass times acceleration for a constant mass. Therefore, the astronaut can she move herself back towards the space station by throwing a tool on the direction opposite to the shuttle.

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Related Questions

Photoelectric effect is observed on two metal surfaces.
Light of wavelength 300.0 nm is incident on a metal that has a work function of 2.80 eV. What is the maximum speed of the emitted electrons?
...m/s

Answers

Therefore, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s.

The photoelectric effect is observed on two metal surfaces. If light of wavelength 300.0 nm is incident on a metal that has a work function of 2.80 eV, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s. What is the photoelectric effect? The photoelectric effect, also known as the Hertz–Lenard effect, is a phenomenon in which electrons are emitted from a metal surface when light is shone on it. The photoelectric effect was initially studied by Heinrich Hertz in 1887 and later by Philipp Lenard in 1902.Latex-free answer: To calculate the maximum speed of emitted electrons using the photoelectric effect equation, we can use the following formula: KEmax = hν - φwhere KE max is the maximum kinetic energy of the ejected electron, h is Planck's constant, ν is the frequency of the incident light, and φ is the work function of the metal. Using the equation, we can convert the given wavelength of 300.0 nm to frequency by using the formula c = λν where c is the speed of light and λ is the wavelength. c = λνν = c/λν = (3.0 x 10⁸ m/s) / (300.0 x 10⁻⁹ m)ν = 1.0 x 10¹⁵ Hz, Now we can plug in the values in the equation: KE max = (6.626 x 10⁻³⁴ J s) (1.0 x 10¹⁵ Hz) - (2.80 eV)(1.60 x 10⁻¹⁹ J/eV)KE max = 1.06 x 10⁻¹⁹ J - 4.48 x 10⁻¹⁹ JKE max = -3.42 x 10⁻¹⁹ J. Since KE max is a positive value, we can convert the value to speed using the equation KE = 1/2mv² where m is the mass of the electron and v is the velocity of the electron: v = √(2KE/m)v = √[(2)(3.42 x 10⁻¹⁹ J)/(9.11 x 10⁻³¹ kg)]v = 1.62 x 10⁶ m/s. Therefore, the maximum speed of the emitted electrons is 1.62 x 10⁶ m/s.

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The diagram shows a roller-coaster track. Assume that the system is closed.
At point E, the roller-coaster car has just exited the vertical loop.

Which statement best describes the relative amounts of potential and kinetic
energy of a roller-coaster car at point E?

O A. Kinetic energy is at almost 0%, and potential energy is at almost
100%
O B. Both kinetic and potential energy are at almost 0%.
O C. Both kinetic and potential energy are at almost 100%.
OD. Potential energy is at almost 0%, and kinetic energy is at almost
100%

The diagram shows a roller-coaster track. Assume that the system is closed.At point E, the roller-coaster

Answers

Answer: Potential energy is at almost 0%, and kinetic energy is at almost 100%

Explanation: took the exam

The roller coaster will lost its potential energy when its starts to excite the vertical loop and its kinetic energy will be maximum. Hence, option D is correct.

What is kinetic energy?

Kinetic energy of a body is generated by its motion. Kinetic energy is proportional to the mass and square of the velocity of the object. Thus, as the speed of the object increase, kinetic energy increases.

Potential energy of a body is generated by virtue of its position. When a moving body slows down to stop, it gains potential energy and its kinetic energy starts decreasing.

When the roller coaster excites the vertical loop of the closed path, it loses its potential energy and  kinetic energy increases to maximum since its moving the down loop with greater velocity. Thus, option D is correct.

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An engine using 1 mol of an ideal gas ini-
tially at 23.9 L and 344 K performs a cycle
consisting of four steps:
1) an isothermal expansion at 344 K from
23.9 L to 47.7 L;
2) cooling at constant volume to 182 K;
3) an isothermal compression to its original
volume of 23.9 L; and
4) heating at constant volume to its original
temperature of 344 K.
Find its efficiency.
Assume that the
heat capacity is 21 J/K and the univer-
sal gas constant is 0.08206 L • atm/mol/K
8.314 J/mol/K.

Answers

The work done by the engine during the isothermal expansion is -7460 J. Note that the negative sign indicates that work is done on the gas by the engine, as the gas is expanding against the external pressure.

During an isothermal expansion, the temperature of the ideal gas remains constant.

Therefore, the ideal gas law: PV = nRT

Since the temperature remains constant:\(P_1V_1 = P_2V_2\)

We can solve for the final pressure \(P_2\)as: \(P_2\) = \(P_1(V_1/V_2)\)

We can simplify this equation to:

W = -P∫dV

W = -P(\(V_2 - V_1\))

Substituting expression :

W =\(-P_1(V_1/V_2)(V_2 - V_1)\)

W = -nRT ln(\(V_2/V_1\))

Plugging in the values :

W = -(1 mol)(8.314 J/mol·K)(344 K) ln(47.7 L/23.9 L)= -7460 J

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--The complete Question is, What is the work done by the engine during the isothermal expansion of 1 mol of an ideal gas from 23.9 L to 47.7 L at a constant temperature of 344 K?--

A plastic rod is rubbed with a piece of carpet and then held near a bottom (B) tape. Make a sketch showing the rod and the tape. Use the symbols "+" and to indicate the location of the charge on object Problem 2 A bottom (B) piece of tape and a top (1) piece of tape are separated halfway as shown below. Indicate the parts of the tapes that are charged and the type of the charge on the diagram.

Answers

The charged parts of the tapes will be indicated on the diagram by using the symbols "+" and "-" to represent the type of charge.

To illustrate the scenario described, a sketch can be made with a plastic rod and a bottom tape. After rubbing the plastic rod with a piece of carpet, it becomes negatively charged (-). When the charged plastic rod is brought close to the bottom tape, it will induce a positive charge (+) on the tape's surface closest to the rod and a negative charge (-) on the surface furthest from the rod. Therefore, the sketch will show a plastic rod with a negative charge (-) and a bottom tape with a positive charge (+) on one side and a negative charge (-) on the other side.

In the scenario described, a bottom (B) piece of tape and a top (1) piece of tape are separated halfway. When separating, some electrons will remain on one tape while the other tape becomes positively charged, indicating a transfer of electrons from one tape to the other. As a result, the bottom tape will have a positive charge (+) on the side facing the top tape and a negative charge (-) on the other side, while the top tape will have a negative charge (-) on the side facing the bottom tape and a positive charge (+) on the other side.

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earth exerts a gravitational force on the moon, keeping it in its orbit, the reaction to this force, in the sense of newton's third law is

Answers

According to Newton's third law, the response to this force is, the gravitational force exerted on Earth by the Moon.

What is gravitational force?

Newton's Third Laws are a pair that describe the gravitational attractions of the Earth and Moon. If object A applies a force to object B, consequently object B must apply a force to object A in the opposite direction and of equal strength. Equal and opposing gravitational pulls are exerted by the Earth's gravity on the Moon and the Moon's gravity on the Earth. The Earth's gravity keeps the Moon in an orbit around us. The direction of the Moon's motion is continually changing. This indicates that, despite moving at a constant pace, the Moon is always accelerating due to gravity. Therefore, there is a gravitational force exerted on Earth by the Moon.

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What is the gravitational force between two identical 5000.0 kg asteroids whose centers of mass are separated by 100.0 m?

Answers

The gravitational force between the two identical 5000.0 kg asteroids separated by 100.0 m is approximately 0.167 N (Newtons).

To calculate the gravitational force between two identical 5000.0 kg asteroids separated by 100.0 m, you can use the universal law of gravitation. The formula is:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant (6.674 x 10^-11 N(m/kg)^2), m1 and m2 are the masses of the asteroids (5000.0 kg each), and r is the distance between their centers of mass (100.0 m).

F = (6.674 x 10^-11 N(m/kg)^2) * (5000.0 kg * 5000.0 kg) / (100.0 m)^2
F = (6.674 x 10^-11) * (25000000 kg^2) / (10000 m^2)
F ≈ 0.167 N

The gravitational force between the two identical 5000.0 kg asteroids separated by 100.0 m is approximately 0.167 N (Newtons).

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The plane below is inclined at 25° and
the weight of the box is 25 N.
Determine the magnitude of vector A.
D
ty
E
CB
A
[?] N

The plane below is inclined at 25 andthe weight of the box is 25 N.Determine the magnitude of vector

Answers

The plane below is inclined at 25° and the weight of the box is 25 N, so the magnitude of vector A is 10.56 N.

In physics, magnitude refers to the size or numerical value of a physical quantity or vector, without considering its direction. It represents the "amount" or "extent" of a quantity or the "length" of a vector.

For example, the magnitude of a force represents the strength or intensity of the force, regardless of its direction.

Similarly, the magnitude of a velocity vector represents the speed or rate of motion, without considering the direction of motion.

Here, it is given that,

θ = 25°

W = 25 N

So,

A = W sinθ

A = 25 sin(25°)

A = 10.56 N

Thus, the magnitude is 10.56 N.

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You pass a road sign stating that the distance to montreal is 225 km. If you travel at a constant speed of 75 mph, how long will it take you to reach the city?

Answers

If you travel at a constant speed of 75 mph, it will take you 1 hour 17 minutes approx. to reach the city.

We know that ,

1mph = 1.6 km/hr.

multiplying both by 75,

75 mph = 120km/hr.

Now , it takes 1hr to travel 120 km

120 km = 1 hour

multiplying both by 1.17

120 x 1.17 km= 1 x 1.17 hrs.

140 km = 1.17 hours (approx.)

And 1.17 hours can also be said as 1 hour 17 minutes.

Hence, it will take you 1 hour 17 minutes approx. to reach the city.

In everyday use and in kinematics, the speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

The average speed of an object in an interval of time is the distance travelled by the object divided by the duration of the interval whereas instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero. Speed is not the same as velocity.

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a solid sphere of mass and radius 20kg and 4m is rotating with an angular velocity of 40rad/sec is accelerated uniformly to 60rad/sec in 2sec what is the torque acting on the sphere? (I=0•4MR^2)​

Answers

Answer:

1280Nm

Explanation:

torque= I×alpha(angular acceleration)

so Angular acceleration is found by the following process.

a solid sphere of mass and radius 20kg and 4m is rotating with an angular velocity of 40rad/sec is accelerated

What is the Atomic Mass / Weight for silver? *Round your answer to the nearest whole number

Answers

The atomic mass of silver is 108

What is the time constant for a series RC circuit hooked up to \xi = 12 V when the resistance is given to be 47 k\Omega and he capacitance is given by 3900 pF? [Recall 1 pF = 10-12 F]How does the time constant change if we were to double the emf?

Answers

a. The time constant for a series RC circuit connected to ξ = 12 V with a resistance of 47 kΩ and a capacitance of 3900 pF is 183.3 μs.

b. If the EMF is doubled, the time constant τ will not change, as it depends solely on the resistance and capacitance values in the circuit and is independent of the applied voltage.

To determine the time constant for a series RC circuit connected to ξ = 12 V with a resistance of 47 kΩ and a capacitance of 3900 pF can be calculated using the formula:

τ = RC

where τ is the time constant, R is the resistance, and C is the capacitance.

We are given that 1 pF = 10⁻¹² F, we can convert the capacitance to farads:

C = 3900 × 10⁻¹² F.

To find the time constant τ, multiply the resistance and capacitance:

τ = (47 × 10³ Ω) × (3900 × 10⁻¹² F)

≈ 183.3 × 10⁻⁶ s or 183.3 μs

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A pulley lifts a 72-N load with a force of 24-N. The input distance is 2m and the output distance is 0.5m. What is the efficiency of the pulley system

Answers

Answer:

Explanation:

Work done on the lever ( input energy ) = force applied x input distance

= 24 N x 2m = 48 J

Work done by the lever ( output energy ) = load x output distance

= 72 N x 0.5m = 36 J

efficiency = output energy / input energy

= 36 J  / 48 J

= 3 / 4 = .75

In percentage terms efficiency = 75 % .

How do you convert temperatures in degrees Fahrenheit to Celsius?

Answers

Answer:(x-32) * 5/9

Explanation:

(52°F − 32) × 5/9 = 11.1111°C

Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. the shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. the vertex of the parabola is at the origin. where should gabe place the bulb to ensure a perfect beam of light? (0, 1) (0, 4) (1, 0) (4, 0)

Answers

Gabe should place the bulb to ensure a perfect beam of light at (C) (1,0).

A reflective surface used to gather or project energy like light, sound, or radio waves is known as a parabolic, paraboloid, or paraboloidal reflector, dish, or mirror. Its form is a component of a circular paraboloid or the surface produced by a parabola rotating around its axis.

Suppose the equation of parabolic mirror is Y2 = 4ax

The given data in the problem is x = 1 and y = 2

So the subject value is y2 = 4ax

4 = 4 a (1)

4 = 4a

a = 1

So  x = 1

thus focus is at  (x, y) = (1,0)

Thus option C is the correct answer.

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.A. A gas absorbs 500J of heat, while having 200J of work done on it. What is the change in internal energy?

B. A gas releases 200J of energy, while doing 100J of work. What is the change in internal energy?

C. If the initial temperature for questions A and B is 300K, then compute the final temperature of the gas for questions 18 and 19 if the gas is (a) 10 grams of monatomic carbon (b) 10 grams of diatomic carbon.

Answers

The final temperature is 333.33K and 320K of monatomic and diatomic carbon.

A. The change in internal energy can be calculated using the first law of thermodynamics: ΔU = Q - W, where ΔU is the change in internal energy, Q is the heat absorbed and W is the work done. Therefore, ΔU = 500J - 200J = 300J.

B. Similar to the first question, the change in internal energy can be calculated using the first law of thermodynamics: ΔU = Q - W, where ΔU is the change in internal energy, Q is the energy released and W is the work done. Therefore, ΔU = -200J - 100J = -300J (negative sign indicates a decrease in internal energy).

C. To calculate the final temperature of the gas, we can use the formula: Q = mcΔT, where Q is the heat absorbed or released, m is the mass of the gas, c is the specific heat capacity of the gas and ΔT is the change in temperature.

a) For 10 grams of monatomic carbon, the specific heat capacity is 3R/2 (where R is the gas constant). Therefore, Q = 500J and ΔT = Q/(mc) = 500J/(10g x 3R/2) = 33.33K. Thus, the final temperature is 300K + 33.33K = 333.33K.

b) For 10 grams of diatomic carbon, the specific heat capacity is 5R/2. Therefore, Q = 500J and ΔT = Q/(mc) = 500J/(10g x 5R/2) = 20K. Thus, the final temperature is 300K + 20K = 320K.

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calculate the velocity of a non-relativistic electron whose de broglie wavelength is 3.637 nm.

Answers

Answer:

The velocity of a non-relativistic electron can be calculated using the formula v = h / mλ, where h is Planck's constant, m is the mass of the electron, and λ is the de Broglie wavelength of the electron.

Assuming the mass of the electron is 9.11 x 10^-31 kg, the velocity of the electron can be calculated as follows:

v = (6.63 x 10^-34 m^2 kg / s) / (9.11 x 10^-31 kg * 3.637 x 10^-9 m)

This works out to be approximately 5.82 x 10^6 m/s.

However, it's important to note that the de Broglie wavelength of a particle is generally only considered to be a meaningful quantity when the particle is moving at speeds that are comparable to the speed of light. For non-relativistic particles, such as an electron moving at a low velocity, the de Broglie wavelength is not a well-defined concept. Therefore, it's not meaningful to calculate the velocity of an electron based on its de Broglie wavelength.

Explanation:

Answer: 2 x 10^5 m/s

Explanation:

de Broglie wavelength equation: λ = h / mv

v = h / m · λ

m = 9.11 x 10^-31 kg

h = 6.62 x 10^-34 J·s

λ = 3.637 x 10^-9 m

v = (6.62 x 10^-34 J·s) / (9.11 x 10^-31 kg) (3.637 x 10^-9 m)

v = 199800.3807 = 2 x 10^5 m/s

What is the new speed for an 10 kg object after 16500 N was applied to it for 2 seconds?

Answers

Answer: 3300 m/s

F = ma; units: N = kg(m/s/s); where F and a are both vectors, while m, t, and v (speed) are scalars

We are given the mass, force, and the time; however, speed is our unknown.

[F = 16500 N]  [m = 10 kg]  [t = 2 s]  [v = unknown]

What we can do is use kinematics in order to relate v and t with F and m:

For example, we can use V = V₀ + at

Since F = ma can equal a = F/m, we can replace the a variable within the kinematics equation with F/m, so that:

V = V₀ + at

V = V₀ + (F/m)t

In this problem, we can assume the initial value V to equal 0, giving us:

V = (F/m)t

Plugging in the quantities we get:

V = \(\frac{16500 N}{10kg}\)· 2s

V = 3300 m/s

To further check whether this is the right manipulated equation to use, we can use dimensional anaylsis to determine that:

V = \(\frac{kg(m/s/s) }{kg}\)· s

V = m/s

I hope this helped!

A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.

Answers

(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.

(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:

Energy = Power × Time

Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:

Time = Energy ÷ Power

Converting the energy to watt-hours (Wh):

Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh

Converting the power to watt-hours (Wh):

Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh

Now we can calculate the time:

Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours

Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.

(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.

In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.

This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.

(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.

In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.

(d) The electromagnetic field output from an antenna can be represented by two main regions:

Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.

Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation.  The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.

The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.

In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.

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A turtle is walking across the garden at 2m/min.
How long will it take the turtle to travel 45 meters?

Answers

Answer:

22 mins and 30 seconds

Explanation:

2m in 1 min so:

45m in x mins Cross multiply

2x = 45

x = 45/2

x=22.5

An playing card is placed on top of a drinking glass, and a coin is placed on the top of the card. A student quickly flicks the card sideways off the glass, and the coin falls into the
glass. Which of these explains why the coin falls into the glass rather than moving to the side with the playing card?
A Newton's First Law of Motion
B Newton's Second Law of Motion
C Newton's Third Law of Motion
D Newton's First Law of Universal Gravitation

Answers

Answer:

A Newton's First Law of Motion

a thin uniform rod of mass m and length l is bent at its center so that the two segments are now perpendicular to each other.

Answers

When a thin uniform rod of mass m and length l is bent at its center so that the two segments are now perpendicular to each other, the center of mass of the rod remains at the center of the original rod.

The center of mass is the point where the entire mass of an object can be considered to be concentrated. For a uniform rod, the center of mass is located at the midpoint of the rod.

Since the rod is bent at its center, the center of mass remains at the midpoint of the original rod, even though the segments are now perpendicular to each other. The two segments will have equal masses since the rod is uniform, and their combined center of mass will coincide with the center of the original rod.

Therefore, the center of mass of the bent rod is still located at the midpoint of the original rod, regardless of the orientation of the segments.

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Conversion of electromagnetic (EM) energy from the sun into other forms of energy occurs for (select all that apply) a. Biofuels (EM to chemical bonds during photosynthesis)
b. Hydroelectric power (EM to evaporation and precipitation of water)
c. Solar thermal power (EM to motion of exchange fluid)
d. Photovoltaic power (EM to electricity, the movement of particles)
e. Wind power (EM to air movements)

Answers

Conversion of electromagnetic (EM) energy from the sun into other forms of energy occurs for the following options:

a. Biofuels

c. Solar thermal power

e. Wind power (EM to air movements)

A- Biofuels: During photosynthesis, plants capture electromagnetic energy from the sun and convert it into chemical energy, stored in the bonds of organic molecules, such as glucose. This process allows for the conversion of EM energy to chemical energy in the form of biofuels.

c. Solar thermal power: Solar thermal power plants use mirrors or lenses to concentrate sunlight, which is then converted into heat energy. This thermal energy can be used to generate steam, which drives a turbine and produces mechanical energy.

e. Wind power: Wind turbines harness the kinetic energy of moving air, which is ultimately driven by the sun's uneven heating of the Earth's surface. The sun's energy heats the atmosphere, creating temperature and pressure gradients that result in wind currents.

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What is the speed (in m/s ) of a proton that has been accelerated from rest through a potential difference of (6. 0×10



3)V ?

Answers

According to given information,the speed of the proton accelerated through a potential difference of (6.0×10³)V is approximately 1.07×10⁵ m/s.

The speed of a proton that has been accelerated from rest through a potential difference of (6.0×10³)V can be calculated using the formula:

speed = √(2qV / m)

where:
- speed is the velocity of the proton,
- q is the charge of the proton (1.6×10⁻¹⁹ C),
- V is the potential difference (6.0×10³ V),
- m is the mass of the proton (1.67×10⁻²⁷ kg).

Plugging in the given values into the formula, we get:

speed = √(2(1.6×10⁻¹⁹C)(6.0×10³ V) / 1.67×10⁻²⁷ kg)

Simplifying the equation further:

speed = √(1.92×10⁻¹⁹ J / 1.67×10⁻²⁷ kg)

Next, we divide the numerator by the denominator to obtain the final value:

speed = √(1.15×10¹¹ m²/s²)

Therefore, the speed of the proton is approximately 1.07×10⁵ m/s.

Conclusion, The speed of the proton accelerated through a potential difference of (6.0×10³)V is approximately 1.07×10⁵ m/s.

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A 4.80-Kg watermelon is dropped from rest from the roof of a 25.0-m-tall building and feels no appreciable air resistance. (a) calculate the work done by gravity on the watermelon during its displacement from the roof to the ground. (b) just before it strikes the ground, what is the watermelon's (i) kinetic energy and (ii) speed??(c) which of the answers in parts (a) and (b) would be different if there were appreciable air resistance?

Answers

(a) Work done by gravity on the watermelon is 1,182 J.(b)the watermelon's (i) kinetic energy just before it strikes the ground is 1,176.6 J and (ii) speed just before it strikes the ground is 48.49 m/s.The answer to part (b) would be different if there were appreciable air resistance.

(a)The given values are:

Mass of watermelon, m = 4.80 kg

Height from which watermelon is dropped, h = 25.0 m

Work done by gravity on the watermelon when it is displaced from the roof to the ground can be calculated as follows:

Work done by gravity, W = mg hwhere,g = acceleration due to gravity = 9.81 m/s²m = mass of the watermelon = 4.80 kg

h = height of the building from which the watermelon is dropped = 25.0 m

Substituting these values, we get:W = (4.80 kg) (9.81 m/s²) (25.0 m)W = 1,182 J

Therefore, the work done by gravity on the watermelon during its displacement from the roof to the ground is 1,182 J.

(b) The watermelon's (i) kinetic energy and (ii) speed just before it strikes the ground is:(i) Kinetic energy of the watermelon just before it strikes the ground can be calculated as follows:

Initial potential energy = mghInitial potential energy, U = (4.80 kg) (9.81 m/s²) (25.0 m)U = 1,176.6 J

Final kinetic energy, K = Initial potential energy, U

Therefore, Kinetic energy of the watermelon just before it strikes the ground is 1,176.6 J.

(ii) Let v be the speed of the watermelon just before it strikes the ground.

Kinetic energy = 0.5mv²where,m = mass of the watermelon = 4.80 kgK = Kinetic energy of the watermelon just before it strikes the ground = 1,176.6 J

Substituting these values, we get:K = 0.5mv²1,176.6 J = 0.5 (4.80 kg) v²2,353.2 J/kg = v²

Taking square root of both sides, we get:v = 48.49 m/s

Therefore, the watermelon's (i) kinetic energy just before it strikes the ground is 1,176.6 J and (ii) speed just before it strikes the ground is 48.49 m/s.

(c) The answer to part (b) would be different if there were appreciable air resistance. The kinetic energy of the watermelon just before it strikes the ground would be lower if there were appreciable air resistance because some of the initial potential energy of the watermelon would be lost to the air due to air resistance.

This means that the final kinetic energy of the watermelon would be lower if there were appreciable air resistance.

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what is the relationship between pressure and force?

Answers

The relationship between pressure and force is defined as the amount of force per unit area of an object.

The equation for pressure is P=F/A

where P is pressure,

F is force,

and A is the area.

The force can be defined as the push or pull of an object.

This could be from gravity, a spring, or any other type of object.

The pressure is then how much force is being exerted on an object per unit of area.

This means that if the force is increased while the area remains the same, the pressure will increase.

Alternatively, if the force remains the same while the area is increased, the pressure will decrease.

The relationship between pressure and force is essential in many aspects of physics, including fluid dynamics and aerodynamics.

In these fields, pressure is a critical component in understanding the behavior of fluids and gases.

For example, in fluid dynamics, the pressure of a fluid can be used to predict how the fluid will flow through a system. Similarly, in aerodynamics, pressure can be used to predict how air will flow over an airplane wing, which is essential in designing aircraft.

The relationship between pressure and force is a fundamental concept in physics.

Understanding how these two quantities relate to one another is critical in many areas of science and engineering.

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a celebrity i would like to meet mind map​

Answers

Answer:

I would wanna meet juice if he was still alive ofc

Explanation:

I would like to meet Micheal Jackson, he was the sweetest person ever! And one of the best artists in the world! :)

Which statement about diffraction is correct?
O The amplitudes of two waves combine to appear as one big wave.
O Sound waves bend around the corners of various obstacles.
O The amplitudes of two waves combine to appear as a wave smaller than the individual waves.
O Sound waves can only travel in straight lines.

Answers

Answer:

Sound waves bend around the corners of various obstacles.

Explanation:

I took the test

1. Two point charges, q1 and q2, of 4.00 μC each, are placed at x1=-16.0 cm and x2 = 16.0 cm away from the origin on the x-axis. A charge q3 of 1.00 μC is placed 12.0 cm away from the origin on the y-axis.

a. Find the distance from q3 to q1 and from q3 to q2.

b. Find the magnitude and the direction of the force F13 exerted by q1 on q3.

c. Find the magnitude and the direction of the force F23 exerted by q2 on q3.

d. Find the magnitude and the direction of the force F12 exerted by q1 on q2.

Answers

The distance between charge 1 and 3 is equal to 20 cm and the force between charge 1 and 3 is equal to force between charge 1 and 3 that is 0.9 Newton and the force between charge 2 and 3 is equal to 1.41 Newton.

What are charges?

Electric charges are basic property of matter carried by some elementary particles that governs how the particles are affected by an electric or magnetic field. Electric charge, which can be positive or negative, occurs in discrete natural units and is neither created nor destroyed.

What is coulomb's law?

Coulomb's law states that like charges repel and opposite charges attract, with a force proportional to the product of the charges and inversely proportional to the square of the distance between them.

Given:

Magnitude on charge 1 = 4 μC

Magnitude on charge 2 = 4 μC

Magnitude on charge 3 = 1 μC

Distance between charge 1 and 2 = 32 cm

Distance of charge 3 from center of charge 1 and 2 = 12 cm

Distance between charge 1 and 3 can be find using Pythagoras theorem.

Distance between charge 1 and 3 = √(256 + 144)

Distance between charge 1 and 3 = 20cm

Similarly Distance between charge 2 and 3 = 20cm

Force between charge 1 and 3 can be found using coulomb law.

Force between charge 1 and 3 = (9 × 4 × 1)/40

Force between charge 1 and 3 = 36/40

Force between charge 1 and 3 = 0.9 Newton

Similarly using symmetry, force between charge 2 and 3 = 0.9 Newton

Force between charge 1 and 2 =(9 × 4 × 4)/102

Force between charge 1 and 2 = 1.41 newton

Therefore the distance between charge 1 and 3 is equal to 20 cm and the force between charge 1 and 3 is equal to force between charge 1 and 3 that is 0.9 Newton and the force between charge 2 and 3 is equal to 1.41 Newton.

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Which 2 forces are always opposite from one another

Answers

Answer:

Any two forces that are always opposite from one another are :

Explanation:

1. action forces

2. reaction forces

what visual clues on a system can indicate the presence of a refrigerant leak

Answers

Visual clues that can indicate the presence of a refrigerant leak include frost or ice buildup, oil stains or residue, and unusual bubbles or discoloration on refrigerant lines or components.

When there is a refrigerant leak in a system, there are several visual indicators that can help identify its presence. One clue is the presence of frost or ice buildup on refrigerant lines or components. When refrigerant escapes, it evaporates and cools the surrounding area, leading to condensation and the formation of frost or ice.

Another visual clue is the presence of oil stains or residue. Refrigerant often carries lubricating oil, and a leak can cause the oil to escape along with the refrigerant. This can result in oil stains or residue around the leak point or on nearby components.

Additionally, unusual bubbles or discoloration on refrigerant lines or components can be indicative of a refrigerant leak. When refrigerant escapes, it can create bubbles or cause discoloration due to chemical reactions or contaminants.

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