If you swing an object on the end of a string around a circle, the string pulls on the object to keep it moving in a circle. What is the name of this force?
A. inertial
B. centripetal
C. resistance
D. gravitational

Answer:

a). 7594 kg m/s^2

Explanation:

The initial momentum of the cars before the collision is the sum of the individual momenta

The momentum of the first car is

The momentum of the second car is

Hence, the total momentum is

which is our answer!

When the cars collide, the conservation of momentum gives

where vf is the final velocity of the stuck-together cars.

solving for vf gives

since p1 + p2 = 7594 and m1 = 78 kg and m2 = 62kg; therefore,

part (ii).

A sketch of the situation is given below.

Answer:

4 Feet

Explanation:

Because A Quarter of 16 is 4

You really can't tell. You don't know if its speed was constant for the whole second, or whether it was accelerated, decelerated, intermittent, bouncing back and forth, etc. All you know is that after 1 second, it had moved 16 ft.

IF its speed was constant AND it moved in a straight line, THEN it moved 4 ft in the first quarter of that second.

If it rolled off of a roof and FELL 16 ft in the first second, then it fell 1 foot in the first quarter second.

Answer:

the average kinetic energy of the 10 molecules is 10 J.

Explanation:

Given;

energy on one molecule in motion, E = 100 J

number of molecules, n = 10

(A) The average kinetic energy of the 10 molecules

since the remaining 9 molecules are at rest, their kinetic energy = 0

\(E_{Avg} = \frac{E_1 + E_9}{10} \\\\E_{Avg} = \frac{100J+ 0}{10} \\\\E_{Avg} = \frac{100J}{10} \\\\E_{Avg} = 10J\)

Therefore, the average kinetic energy of the 10 molecules is 10 J.

If a particle's velocity is nonzero, then its acceleration can be zero, because acceleration is the rate of change of velocity. If the velocity is constant and does not change, the acceleration is zero.

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.

Because velocity is both a speed and a direction, there are only two ways to accelerate: modify your speed or your direction—or both.

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Answer:

Explanation:

the answer is 35.6

lowest point in its swing is  12.478 cm/s.

Any pendulum, when positioned vertically, swings equally in both directions.

Assume that the swing's angle on either side is.

So, 2θ = 4.57°

Or, θ = 2.285°

Let v represent the pendulum's lowest point's linear speed.

The highest point of the pendulum is really h = l * (1 - cos ) vertical height above the lowest point of the swing when it reaches its maximum position.

h is therefore equal to (0.993 m) * (1 - cos 2.285°) (0.993 m) * (1 - 0.9992) = 0.0007944 m.

If m is the pendulum's mass, we can express the following using the rule of conservation of energy:

The highest point's potential energy is transformed into kinetic energy at the lowest location via height.

Therefore, m* g* h= (1 / 2)* m* (v2)

Or, v = √(2gh) (2gh)

v = ( 2 * 9.8 * 0.0007944) m/sec

v = 0.12478 m/sec

The correct answer is 12.478 cm/s.

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As water freezes below 4°C, the volume of the liquid shrinks and water molecule motion slows. When the temperature rises over 4 °C, the water molecules spread out and take up more space, increasing the volume.

Due to the peculiar property of water known as "Anomalous Expansion of Water," when 1 liter of water is cooled from 4°C to 0°C, the volume of the water starts to grow. Between 4°C and 0°C, water expands abnormally.

Water volume reduces as it is heated from 0°C to 4°C because the water's density will be maximum

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Answer:

The impedance of the inductor is ω L:

This is in parallel wth R giving a resistance of the parallel combination:

1 / Rp = 1 / ω L + 1 / R

Rp = (ω L * R) / (ω L + R)      for the impedance of the parallel combination

Total resistance (impedance) Rt = Rp + R2 = Z

One can use the term impedance to show that the resulting current is not in phase with the resulting voltage    

phase angle φ -    cos φ  = ω L / Rt

V = I Z        shows the relation of voltage and urrent

Answer:

speed in vacuum

Explanation:

lets say we are in an empty universe and you are moving 10% the speed of light you wont slow down or speed up.

Answer:

2.29 s

Explanation:

This problem is a description of an elastic collision (the two objects collide and effectively become one object).  The equation for an elastic collision is

\(m_1v_1+m_2v_2=m_3v_3\), where:

\(m_1v_1\) = the mass of the child (55.0 kg) times the velocity of the child (2.5\(\frac{m}{s}\))

\(m_2v_2\) =  the mass of the sled (12.0 kg) times the velocity of the sled (0.0\(\frac{m}{s}\))

\(m_3v_3\) = the combined mass of the child and the sled (67.0 kg) times the combined velocity of the child and the sled (\(v_3\))

First, rearrange the problem to solve for \(v_3\):

\(\frac{m_1v_1+m_2v_2}{m_3}=v_3\)

So,

\(\frac{(55.0\ kg)(2.5\ \frac{m}{s})+(12.0\ kg)(0.0\ \frac{m}{s})}{67.0\ kg}=v_3\\\frac{137.5\frac{kg*m}{s}}{67.0\ kg}=v_3\\2.05\frac{m}{s}=v_3\)

The force of friction for this problem is given as 60 N.  To stop the child and the sled, the force of friction must be equal and opposite to the force of the child and sled.  According to Newton's first law, force equals mass times acceleration (F=ma).  So, an equation to solve this portion of the problem can be given as -60 N=ma, where m=67.0 kg.  So,

\(-60\ N=(67.0\ kg)a\\\frac{-60\ \frac{kg*m}{s^2}}{67.0\ kg}=a\\-0.90\frac{m}{s^2}\)

Acceleration can then be used in kinematic equation #1 (\(v_f=v_i+at\)) to solve for time.  Rearrange the equation and let

\(v_f=0.0\frac{m}{s}\\v_i=2.05\frac{m}{s}\\a=-0.90\frac{m}{s^2}\)

So,

\(\frac{v_f-v_i}{a}=t\\\frac{0.0\frac{m}{s}-2.05\frac{m}{s}}{-0.90\frac{m}{s^2}}=t\\\frac{-2.05\frac{m}{s}}{-0.90\frac{m}{s^2}}=t\\2.29\ s=t\)

The maximum torque on the wire is 392.3 µN·m and the range of potential energy is -392.3µN·m(minimum) to +392.3µN·m(maximum)

Torque: Torque is a measure of the force that can cause an object to rotate about an axis. It is a vector quantity.

Given that,

diameter D=20cm

Radius r =10cm

magnetic field B =2.5mT

current I=5A

Torque= n×B

           =nBsinФ

torque=nB= NIAB

                 = 1×5×π×\(10^{2}\)×\(10^{-4}\)×2.5×\(10^{-3}\)

                 = 39.23×\(10^{-5}\)

                 = 392.3µN·m

minimum potential energy= -nB= -392.3µN·m

maximum potential energy =+nB= +392.3µN·m

Therefore the maximum torque on the wire is 392.3 µN·m when is placed in an uniform magnetic field of 2.50mT and the range of potential energy is -392.3µN·m(minimum) to +392.3µN·m(maximum)

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The magnitude of the initial acceleration of the object is 4.2 m/s².

The tension in the string once the object starts moving is 13.65 N.

The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;

F(net) = ma

m₂g - μm₁g cosθ = a(m₁ + m₂)

where;

(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)

33.5 = 8a

a = 33.5/8

a = 4.2 m/s²

The tension in the string once the object starts moving is calculated as;

T = m₁a

T = 3.25 x 4.2

T = 13.65 N

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The resultant velocity of the boat is 7.5 km/h.

The resultant displacement of the boat is calculated as follows;

Sum of the vertical displacement of the boat is calculated as;

∑Fy = -24 km sin(50)  + 8 km sin(60)

∑Fy = -11.5 km

Sum of the horizontal displacement of the boat is calculated as;

∑Fx = -24 km cos(50)  - 8 km cos(60)

∑Fx = -19.4 km

The resultant displacement is calculated as follows;

d = √ (-11.5² + 19.4²)

d = 22.55 km

The resultant velocity of the boat is calculated as follows;

v = ( 22.55 km ) / ( 3 hrs )

v = 7.5 km/h

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Answer:

Explanation:

(a) To find the acceleration, we can use the equation of motion:

v = u + at

Where:

v = final velocity = 1.29 m/s

u = initial velocity = 0.10 m/s

a = acceleration (unknown)

t = time = 38 ms = 0.038 s

Rearranging the equation, we have:

a = (v - u) / t

Plugging in the values, we get:

a = (1.29 - 0.10) / 0.038

a = 1.19 / 0.038

a ≈ 31.32 m/s²

Therefore, the acceleration reflected in the data is approximately 31.32 m/s².

(b) To find the distance traveled, we can use the equation of motion:

s = ut + (1/2)at²

Where:

s = distance traveled (unknown)

u = initial velocity = 0.10 m/s

t = time = 38 ms = 0.038 s

a = acceleration = 31.32 m/s²

Plugging in the values, we get:

s = (0.10 × 0.038) + (0.5 × 31.32 × 0.038²)

s ≈ 0.0038 + 0.0565

s ≈ 0.0603 meters

Therefore, the blood travels approximately 0.0603 meters during this period.

Answer:

0.002 m

Explanation:

We can use the equations of motion to solve this problem.

(a) The initial velocity of the blood is u = 0.10 m/s, the final velocity is v = 1.29 m/s, the time taken is t = 38 ms = 0.038 s, and the acceleration is a (which is what we want to find). The equation that relates these quantities is:

v = u + at

Rearranging this equation, we get:

a = (v - u) / t = (1.29 - 0.10) / 0.038 = 33.68 m/s^2

Therefore, the acceleration of the blood is 33.68 m/s^2.

(b) To find the distance traveled by the blood during this period, we can use another equation of motion:

s = ut + (1/2)at^2

where s is the distance traveled. Substituting the values we have:

s = (0.10)(0.038) + (1/2)(33.68)(0.038)^2 = 0.002 m

Therefore, the blood travels a distance of 0.002 m during this period.

The value of R₂, given that the total resistance in a circuit with two parallel resistor is 2 ohms, is 3 ohms

The formula to obtain the total resistance in a parallel connection for two resistors is given as folllow:

Rₜ = (R₁ × R₂) / (R₁ + R₂)

With the above formula, we can obtain the value of R₂. Details below:

Rₜ = (R₁ × R₂) / (R₁ + R₂)

2 = (6 × R₂) / (6 + R₂)

2 = 6R₂ / (6 + R₂)

Cross multiply

2 × (6 + R₂) = 6R₂

Clear bracket

12 + 2R₂ = 6R₂

Collect like terms

12 = 6R₂ - 2R₂

12 = 4R₂

Divide both sides by 4

R₂ = 12 / 4

R₂ = 3 ohms

Thus, we can conclude that the value of R₂ is 3 ohms

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Answer:

The height is the same

Explanation:

Because they were at the same height but they fell at different velocities

The power to stop the car with kinetic energy of a car is  \(8*10^{6} J\) as it travels along a horizontal road is  \(8*10^{5} watt\), option B

Kinetic energy can be seen as one that is been recorded when an object is able to move from a place , in a broad term we can say this is the energy that can be attributed to that of someone leaving a place and go to another place hence we can see it as the one in the motion.

The definition of energy as the "power to accomplish work" refers to the capacity to apply a force that moves an object. Even if the word is vague, it is clear what energy actually means: it is the force that causes objects to move. The two types  can be attributed to the one we know which are kinetic and potential energy.

\(Power \frac{Energy}{time}\)

\(Energy = 8*10^{6} J\)

\(time = 10 s\)

\(Power = \frac{8*10^{6} J}{10}\)

\(power = 8*10^{5} watt\)

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proper question;

The kinetic energy of a car is 8 × 106 J as it travels along a horizontal road. How much power is required to stop the car in 10 s? (A) zero joules (B) 8  105 J (C) 8  107 J (D)8  104 J (E) 8  106 J​

Answer:

duvergentv boundaries

Answer:

j120

Explanation:

qll energy for residential is 120 and that's what ruffly is always used for wiring

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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Answer:

instruments

Explanation:

Prevailing theories about galaxies predict that there should exist numerous dwarf galaxies around large galaxies (like our Milky Way). Observations are confirming these predictions. The correct answer is option b.

The prevailing theories about galaxies suggest that large galaxies like our Milky Way should be surrounded by numerous dwarf galaxies.

These dwarf galaxies are much smaller than large galaxies and have a much lower mass. They are thought to form around larger galaxies due to gravitational interactions between the larger galaxies and smaller gas clouds.

The predictions made by these theories are being confirmed through observations. In recent years, astronomers have discovered many dwarf galaxies around large galaxies like our Milky Way. These discoveries have helped to improve our understanding of galaxy formation and evolution.

Therefore, option b is correct.

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The probable question may be:

prevailing theories about galaxies predict that there should exist numerous ____ around large galaxies (like our milky way). observations are confirming these predictions.

options:

a) elliptical galaxies

b) dwarf galaxies

c) giant elliptical galaxies

Yes, if a body is floating in a liquid, the rise in the liquid level is equal to the body height. This phenomenon is known as Archimedes' principle.

Archimedes' principle says when a body is immersed in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. Buoyant forces act in the opposite direction to gravity.

When a body floats in a liquid, it displaces a volume of liquid equal to its volume. As a result, the liquid level rises by an amount equal to the height of the submerged part of the body.

This principle holds for objects that float or are partially immersed in a liquid, such as a buoyant boat or a floating object. However, if the body sinks completely into the liquid, the liquid level rise will no longer be equal to its height. Instead, it depends on the density and volume of the submerged object.

The balanced reaction that could lead to the image shown is; 2/1 H + 1/1H -----> 3/2He.

A  nuclear equation is one which involves changes in the nucleus of atoms to yeild new isotopes of elements.

We know that a nuclear equation must be balanced. The balanced reaction that could lead to the image shown is; 2/1 H + 1/1H -----> 3/2He.

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Answer:

Explanation:

Let v be the velocity acquired by electron in electric field

V q = 1/2 m v²

V is potential difference applied on charge q , m is mass of charge , v is velocity acquired

2400 x 1.6 x 10⁻¹⁹ = .5 x 9.1 x 10⁻³¹ x v²

v² = 844 x 10¹²

v = 29.05 x 10⁶ m /s

Maximum force will be exerted on moving electron when it moves perpendicular to magnetic field .

Maximum force = Bqv , where B is magnetic field , q is charge on electron and v is velocity of electron

= 1.7 x 1.6 x 10⁻¹⁹ x 29.05 x 10⁶

= 79.02 x 10⁻¹³ N .

Minimum force will be zero when electron moves along the direction of magnetic field .

(a) The maximum force on the  electron due to the magnetic field will be  F= 79.02 x 10⁻¹³ N .

(b) Minimum force will be zero when electron moves along the direction of magnetic field .

Whenever a current is passes through a wire then the magnetic fields are generated around the wire and if any other charged particle comes under the influence of this magnetic field then the magnetic force is applied in the charge.

Let v be the velocity acquired by an electron in electric field

\(Vq=\dfrac{1}{2}mv^2\)

V is potential difference applied on charge q ,

m is mass of charge ,

v is velocity acquired

2400 x 1.6 x 10⁻¹⁹ = .5 x 9.1 x 10⁻³¹ x v²

v² = 844 x 10¹²

v = 29.05 x 10⁶ m /s

Maximum force will be exerted on the moving electron when it moves perpendicular to the magnetic field .

Maximum force = Bqv , where B is magnetic field , q is charge on an electron and v is velocity of electron

F=Bqv

F= 1.7 x 1.6 x 10⁻¹⁹ x 29.05 x 10⁶

F= 79.02 x 10⁻¹³ N .

Minimum force will be zero when electron moves along the direction of magnetic field .

Hence the maximum force on the  electron due to the magnetic field will be  F= 79.02 x 10⁻¹³ N and the Minimum force will be zero when electron moves along the direction of magnetic field .

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Answer:

Light behaves differently in space than on Earth.

Explanation:

Because the gravity field is greater near earth than in most of space. Not the areas near stars, black holes, pulsars, and such but in the vast emptyness between the clumpy spots.

We can calculate the time taken by the compass to hit the ground by using kinematic equations of motion. The motion of the compass is a free-fall motion since it is only under the influence of gravity. When the compass is dropped, it is initially at rest.

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Answer:

the most common way to measure mass is using a balance.

Answer:

it is light

Explanation:

the arrow that says light is on the glass it must be near from tungsten

Answer: The answer is a because that's where it would be after it bounced

(a) The magnitude of the angular momentum of the system is 5,252 kg m²/s.

(b) The rotational energy of the system is 2,826 J.

(c) The new moment of inertia is 31.25 Kgm².

(d) The new speed of each astronaut is 420.15 m/s.

(e) The new rotational energy of the system is 65.82 kJ.

(f) The work is done by the astronauts in shortening the rope -45,317,098 KJ.

(a) To calculate the magnitude of the angular momentum of the system, we can use the following equation:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. Since we are treating the astronauts as particles, we can assume they are point masses and use the formula for the moment of inertia of a point mass:

I = mr²

where m is the mass of each astronaut and r is the distance between them. The angular velocity can be found from the linear velocity and the distance between the astronauts:

ω = v/r

Putting in the given values, we get:

r = 5.00 m

m = 90.5 kg

v = 5.80 m/s

I = 2(mr²) = 2(90.5 kg)(5.00 m)²

              = 4,525 kg m²

ω = v/r = 5.80 m/s / 5.00 m

           = 1.16 rad/s

L = Iω = (4,525 kg m²)(1.16 rad/s)

          = 5,252 kg m²/s

Therefore, the magnitude of the angular momentum of the system is 5,252 kg m²/s.

(b) To calculate the rotational energy of the system, we can use the following equation:

E = (1/2)Iω²

Putting in the values for I and ω that we found in part (a), we get:

E = (1/2)(4,525 kg m²)(1.16 rad/s)²

  = 2,826 J

Therefore, the rotational energy of the system is 2,826 J.

(c) When the distance between the astronauts is shortened to 5.00 m, the moment of inertia of the system changes. We can calculate the new moment of inertia using the parallel axis theorem:

I = Icm + md²

where Icm is the moment of inertia about the center of mass (which remains the same), m is the mass of each astronaut, and d is the distance between each astronaut and the center of mass (which is half the original distance, or 2.50 m).

The new moment of inertia is:

I = Icm + 2md²

 = 2(m(2.50 m)²)

 = 31.25 kg m²

Therefore the new moment of inertia is 31.25 Kgm².

(d) To find the new speeds of the astronauts, we can use the conservation of angular momentum:

L = Iω = L'

where L is the initial angular momentum (which we found in part (a)) and L' is the new angular momentum (which we can find using the new moment of inertia and the new distance between the astronauts, which is 5.00 m).

Solving for ω', we get:

ω' = L' / I = L / I'

Putting in the values, we get:

L' = L = 5,252 kg m²/s

I' = 31.25 kg m²

ω' = 5,252 kg m²/s / 31.25 kg m² = 168.06 rad/s

The new speed of each astronaut is the tangential velocity at a distance of 2.50 m from the center of mass, which can be found using the formula:

v = ω'r

where r is the distance from the center of mass. Putting in the values, we get:

v = 168.06 rad/s * 2.50 m = 420.15 m/s

Therefore, the new speed of each astronaut is 420.15 m/s.

(e) To find the new rotational energy of the system after the astronauts have shortened the rope to 5.00 m, we can use the conservation of angular momentum:

L = Iω

where L is the angular momentum of the system, I is the moment of inertia of the system, and ω is the angular speed of the system. Since the rope is assumed to have negligible mass, we can treat the system as two point masses moving in a circle around their center of mass. The moment of inertia of this system can be calculated as:

I = 2mr²/5

where m is the mass of each astronaut and r is the distance between them. Initially, the moment of inertia of the system is:

I = 2 * 90.5 kg * (10.0 m / 2)² / 5

= 3638 kg m²

The initial angular momentum of the system is:

L = Iω = 3638 kg m² * (5.80 m/s) / (10.0 m / 2)

          = 4213.6 kg m²/s

After the astronauts have shortened the rope to 5.00 m, the moment of inertia of the system is:

I' = 2 * 90.5 kg * (5.00 m / 2)² / 5

  = 1352.5 kg m²

Since the angular momentum of the system is conserved, the new angular speed of the system is:

ω' = L/I' = 4213.6 kg m²/s / 1352.5 kg m² = 3.115 rad/s

E' = (1/2)I'ω'² = (1/2) * 1352.5 kg m² * (3.115 rad/s)²

                    = 65,817.6 J

                    = 65.82 kJ

Therefore, the new rotational energy of the system is 65.82 kJ.

(f) The work done by the astronauts in shortening the rope is:

W = ∫F dl = (F' - F) ∫dl

   = (6,043,064.25 N - 630.56 N) * (-7.50 m)

   = -45,317,098 KJ

Therefore, the work is done by the astronauts in shortening the rope -45,317,098 KJ.

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