The gravitational force between the large ball and the small ball, given their respective masses is 1.2×10¯¹³ N
How do I determine the gravitational force?Gravitational force between two objects is given as shown below:
F = GM₁M₂ / r²
Where
F is the force of attraction G is the gravitational constant M₁ and M₂ are the masses of the objects r is the distance apartUsing the above formula, we can obtain the gravitational force between the the large and small ball as follow:
Mass of small ball (M₁) = 5.0×10⁻³ KgMass of large ball (M₂) = 9.0×10⁻² KgDistance apart (r) = 0.5 mGravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²Gravitational force (F) =?F = GM₁M₂ / r²
F = (6.67×10¯¹¹ × 5.0×10⁻³ × 9.0×10⁻²) / 0.5²
F = 1.2×10¯¹³ N
Thus, the gravitational force is 1.2×10¯¹³ N
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how does changing the direction of the applied force change the amount of the force that is doing work?
The component of the force acting in the direction of an object's motion determines how much force is doing work on that object. The "parallel component" of the force is referred to as this.
Applied forceA force that is applied perpendicular to an object's motion has no effect since it does not add to the object's kinetic energy.
It follows that the force exerted on the item will increase if the applied force's direction is adjusted to make it more parallel to the direction of motion.
The amount of force accomplishing work will decrease, on the other hand, if the direction of the applied force becomes increasingly perpendicular to the direction of motion.
Take the movement of a box across a rough surface as an illustration.
Only a fraction of the force will be parallel to the surface of the force delivered at a 45-degree angle to the surface, contributing to the motion of the box.
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A runner is jogging in a straight line at a steady Vr= 3.4km/hr. When the runner is L=8km from the finish line, a bird begins flying straight from the runner to the finish line at Vb= 17km/hr(5 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner. What cumulative distance does the bird travel?
Answer:
The cumulative distance that the bird travel is 13.33 Km
Explanation:
Given that,
Velocity of runner = 3.4 km/hr
Distance = 8 km
Velocity of bird = 17 km/hr
Let x is the distance from the origin where the runner run into the bird
We need to calculate the value of x
Using time of runner and bird
\(t_{r}=t_{b}\)
\(\dfrac{d_{r}}{v_{r}}=\dfrac{d_{b}}{v_{b}}\)
Put the value into the formula
\(\dfrac{x}{3.4}=\dfrac{8+(8-x)}{17}\)
\(17x=3.4\times8+3.4(8-x)\)
\(17x=27.2+27.2-3.4x\)
\(17x+3.4x=54.4\)
\(x=\dfrac{54.4}{20.4}\)
\(x=2.67\)
We need to calculate the cumulative distance that the bird travel
Using distance of bird
\(d_{b}=16-x\)
Put the value into the formula
\(d_{b}=16-2.67\)
\(d_{b}=13.33\ km\)
Hence, The cumulative distance that the bird travel is 13.33 Km
Small particles of organic material are called _______. a. discharge b. peat c. detritus d. brackish please select the best answer from the choices provided a b c d
Small particles of organic material are called c. detritus.
Small particles of organic material are called detritus. Detritus consists of dead plant and animal material that has broken down into smaller particles such as animal waste, leaves, fallen branches which are broken down by decomposers such as bacteria and fungi. It is an important source of nutrients for many organisms in aquatic and terrestrial ecosystems.
Option a, discharge, refers to the release of a substance, such as wastewater, into the environment. Option b, peat, is a type of soil made up of partially decomposed plant material. Option d, brackish, refers to water that is a mix of freshwater and saltwater. Therefore, the best answer from the choices provided is c. detritus.
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What is the eccentricity of an orbit when both focal points are located at the sun?
The eccentricity of an orbit when both focal points are located at the sun is zero.
What is an orbit?
An orbit is the trajectory, or path, of an object that revolves around another object, the center of mass or a gravitational point. All planets orbit the sun, and the moon orbits the earth, for example, An elliptical orbit is the shape of many planetary orbits.
As a result, the eccentricity of the orbit is significant.
What is Eccentricity?
The degree of circularity of an orbit is referred to as its eccentricity. When the distance between the two foci is divided by the length of the major axis, eccentricity is calculated.
A perfectly circular orbit has an eccentricity of zero.
An ellipse with an eccentricity of 1 is a parabolic orbit. When eccentricity is greater than one, the orbit is hyperbolic.
The eccentricity of an orbit when both focal points are located at the sun:
Since there is only one focus, and the center of the sun is located there, the eccentricity of such an orbit is zero. Because there is only one focus, the distance between the two foci is also zero.
As a result, a planet's orbit with a sun-centered focus is always circular.
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what is true about current that flows through resistors in parallel? all current flows through the lowest value resistor(s). all current flows through the highest value resistor(s). the current is determined by v
A resistor is a passive two-terminal electrical component used in circuits to implement electrical resistance. Resistor use in electronic circuits includes lowering current flow, adjusting signal levels, dividing voltages, influencing active devices, and terminating transmission lines.
The voltage drop across a resistor increases with resistor size and consumes more energy as a result. Voltage drop can be confirmed using Ohm's Law. Voltage in a DC circuit is equal to current times resistance.
V = I R.
Resistors are said to as being in parallel when two nodes share terminal connections. The lowest parallel resistor is larger than the comparable overall resistance.
The supply current is equal to the total of the currents flowing through all of the resistors when they are linked in parallel. The supply current is equal to the sum of the currents in a parallel circuit's branches. The potential difference across parallel connections of resistors is the same.
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A substance has a freezing point of -36 degree C and a boiling point of 356 degree C. At what temperature would this substance be in its liquid state?
2 points
A.375 degree C
B.-100 degree C
C.80 degree C
D.-50 degree C
Answer:
C
Explanation:
pgghikjbvxxasdgjkllpouyrwqscbnnkudyi
1. A body has a velocity of 72 km/hr. Find its value in m/s.
72 Km/hr
= 72000 m/ 60×60 s
= 72000 m/ 3600 s
= 20 m/s
Answer is 20 m/s.
Hope it helps! Please do comment
find the magnitude of the earth's centripetal acceleration as it travels around the sun. assume a year of 365 days.
To find the magnitude of the Earth's centripetal acceleration as it travels around the Sun, we can use the formula for centripetal acceleration: a = (v^2) / r
where a is the centripetal acceleration, v is the velocity of the Earth, and r is the radius of the Earth's orbit. The velocity of the Earth can be calculated using the formula: v = (2πr) / T. where T is the period of the Earth's orbit, which is the length of a year. Given that a year has 365 days, we can convert it to seconds by multiplying by 24 (hours), 60 (minutes), 60 (seconds): T = 365 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute. Now, we need to find the radius of the Earth's orbit. The average distance between the Earth and the Sun, known as the astronomical unit (AU), is approximately 149.6 million kilometers or 1.496 × 10^11 meters. Plugging the values into the equations: T = 365 * 24 * 60 * 60 = 31,536,000 seconds. r = 1.496 × 10^11 meters. Calculating the velocity: v = (2π * 1.496 × 10^11) / 31,536,000 ≈ 29,788 m/s. Finally, we can calculate the centripetal acceleration: a = (v^2) / r = (29,788^2) / (1.496 × 10^11) ≈ 0.00593 m/s^2. Therefore, the magnitude of the Earth's centripetal acceleration as it travels around the Sun is approximately 0.00593 m/s^2.
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what is the difference of chinese and korean music
The music performed on the Chinese instrument was typically fast-paced, technically impeccable, and pitched high. The Korean instrument, however, is normally performed in a low range and with less emphasis.
What's the name of that instrument from China?Chinese musical instrument known as the pipa has four strings and is classified as a plucked instrument. The instrument, which is sometimes referred to as the "Chinese lute," features a peculiar pear-shaped wooden body and 12 to 26 frets.
What is the most popular instrument in China?According to Shanghai Chinese Orchestra director Luo Xiaoci, the guzheng is now regarded as the most well-liked traditional Chinese musical instrument and is comparable to the piano for Western music. A flexible instrument with a wide variety of tones is the guzheng.
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Where is the water table located?
Answer:
The water table is the upper surface of the zone of saturation. The zone of saturation is where the pores and fractures of the ground are saturated with water. It can also be simply explained as, the upper level, below which the ground is saturated.
You whirl a 2-kg body attached to a 1-meter cord around your head in a nearly horizontal circle with a speed of 4 m/s. the tension in the cord is:________
The tension in the cord is equal to centripetal force which is 32 newton.
We need to know about centripetal force to solve this problem. When an object moves in a circular motion, the object is experiencing centripetal force. The magnitude of centripetal force is
Fc = m . v²/R
where Fc is the centripetal force, m is mass, v is velocity and R is the radius.
From the question, we know that
m = 2 kg
v = 4 m/s
R = 1 m
The tension in the cord is equal to centripetal force
T = Fc
T = m . v²/R
T = 2 . 4² / 1
T = 32 N
Hence, the tension in the cord is 32 newton.
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16. What will happen If a fast-moving car making a loud noise drives away
from a person?
O A. The frequency of the sound waves reaching the person's ear will be greater
than the frequency of the waves leaving the car.
OB. The pitch of the sound being heard by the person will appear to be lower
than the pitch of the source.
OC. The pitch of the sound being heard by the person will appear to be higher
than the pitch of the source.
O D. The pitch and frequency of the sound waves reaching the person's ear will
remain unchanged.
The frequency of the sound waves reaching the person's ear will be greater than the frequency of the waves leaving the car.
Thus, When an object's vibrations pass through a medium and hit the human eardrum, sound is created. According to physics, sound is created as a pressure wave.
When an object vibrates, the air molecules in its immediate vicinity also vibrate, starting a cascade of sound wave oscillations across the medium.
The physics definition acknowledges that sound exists irrespective of an individual's reception, in contrast to the physiological definition, which also takes into account how a subject perceives sound.
Thus, The frequency of the sound waves reaching the person's ear will be greater than the frequency of the waves leaving the car.
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the normal formula to find force is F = m*a. What kind of math do you need to do
to find the mass of an object?
- Divide: F / a
- Divide: a / F
- Multiply: F* a
- Subtract: F - a
\(\\ \sf\Rrightarrow F=ma\)
Take a to leftAs it's multiplied on right side it will be divided on right side.\(\\ \sf\Rrightarrow \dfrac{F}{a}=m\)
Or
\(\\ \sf\Rrightarrow m=\dfrac{F}{a}\)
Solve the problem. The number of dislocated olectric impulses per cubic inch in a transformer increases when lightning stnkes by \( \mathrm{D}=1100(4) \times \), where \( \times \) is the time in mill
At x = 0, there are no dislocated impulses, while at x = 3, there are 13,200 dislocated impulses.
The problem states that the number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D = 1100(4)×,
where × represents the time in milliseconds of the lightning strike.
We need to find the number of dislocated impulses at x = 0 and x = 3.
To find the number of dislocated impulses at x = 0, substitute x = 0 into the equation D = 1100(4)×:
D(0) = 1100(4)(0)
D(0) = 0
So, at x = 0, there are no dislocated impulses.
To find the number of dislocated impulses at x = 3, substitute x = 3 into the equation:
D(3) = 1100(4)(3)
D(3) = 13200
Therefore, at x = 3, there are 13,200 dislocated impulses.
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Solve the problem. The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D=1100(4)×, where × is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x=0 and x=3
draw a cross-section of an rf mesfet and label all metal contacts, semiconductor layers, semiinsulating region and location of depletion region
A cross-section of an RF MESFET with the requested labels:
a. Metal contacts:
Schottky metal gate contact (on top)
Source and drain metal contacts (on bottom)
b. Semiconductor layers:
N+ d*ped GaAs substrate (bottom layer)
Semi-insulating GaAs buffer layer (on top of the substrate)
N-d*ped GaAs channel layer (on top of buffer layer)
Semi-insulating GaAs cap layer (on top of channel layer)
c. Depletion region:
Located in the channel layer under the gate contact (indicated by the red region)
Metal Contacts are typically made of gold or aluminum and include the source, drain, and gate terminals.
Semiconductor layers consist of an n-type channel layer and a p-type buffer layer. Label the n-type channel as "N-Channel" and the p-type buffer as "P-Buffer."Semi-insulating Region is a high-resistivity material, such as GaAs, that separates the semiconductor layers from the substrate. Label this region as "Semi-insulating GaAs."Depletion Region is formed at the interface between the n-type channel and the p-type buffer when a voltage is applied to the gate terminal. Label the area near the gate as "Depletion Region."In summary, your cross-section drawing of an RF MESFET should include labeled metal contacts (source, drain, and gate), semiconductor layers (n-type channel and p-type buffer), a semi-insulating region (e.g., GaAs), and the location of the depletion region near the gate.
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You want to lift a heavy box with a mass L = 64.0 kg using the two-ideal pulley system as shown. With what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity? One pulley is attached to the ceiling and one to the box.
The given problem can be solved using the following free-body diagram:
The diagram is the free-body diagram for the pulley that is holding the weight. Where:
\(\begin{gathered} T=\text{ tension} \\ m=\text{ mass} \\ g=\text{ acceleration of gravity} \end{gathered}\)Now we add the forces in the vertical direction:
\(\Sigma F_v=T+T-mg\)Adding like terms:
\(\Sigma F_v=2T-mg\)Now, since the velocity is constant this means that the acceleration is zero and therefore the sum of forces is zero:
\(2T-mg=0\)Now we solve for "T" by adding "mg" from both sides:
\(2T=mg\)Now we divide both sides by 2:
\(T=\frac{mg}{2}\)Now we substitute the values and we get:
\(T=\frac{(64\operatorname{kg})(9.8\frac{m}{s^2})}{2}\)Solving the operations:
\(T=313.6N\)Now we use the free body diagram for the second pulley:
Now we add the forces in the vertical direction:
\(\Sigma F_v=T-F\)The forces add up to zero because the velocity is constant and the acceleration is zero:
\(T-F=0\)Solving for the force:
\(T=F\)Therefore, the pulling force is equal to the tension we determined previously and therefore is:
\(F=313.6N\)
how many joules are there in 200kj
Answer:
200,000 joules <3
Explanation:
just accept it
Answer:
\(2.00 * 10^5J\)
Explanation:
Make use of your conversion factors:
\(200KJ * \frac{1000J}{1kJ} = 200,000J = 2.00* 10 ^5J\)
Or alternatively make use of your scientific notation. \(kilo = 10^3\)
Therefore \(200kJ = 200*10^3J=2.0*10^2*10^3J = 2.0*10^5J\)
Derivation
law of
conservation
of momentum
Applying Newton's third law, these two impulsive forces are equal and opposite i.e. If the time of contact is t, the impulse of the force F21 is equal to the change in momentum of the first object. The impulse of force F12 is equal to the change in momentum of the second object.
MARK ME BRAINLISTwhich part of the picture shows evidence of matter scattering light waves on many diffrent directions
Answer:
A- The image of the moon on the waters surface is distorted.
Explanation:
Newton's 3rd Law of Motion
For every__________ (or force), there is an ____________ and __________ action (or force).
Answer:
Explanation:
For every action (or force), there is an equal and opposite action (or force).
1. Juan wants to measure the current traveling through the straight wire in his experiment. He
uses a _____
as his tool. He places the wire in between two permanent magnets to
measure the current created by the magnetic field. PLS
Answer:
galvanometer
Explanation:
A galvanometer is an instrument that can detect currents.Juan wants to measure the current traveling through the straight wire in his experiment. He uses a galvanometer as his tool. He places the wire in between two permanent magnets to measure the current created by the magnetic field.ai0123's answer is correct
what does the frequency of cpg have to be in order to be designated as a "cpg island"?
The frequency of CpG (cytosine-phosphate-guanine) dinucleotides would need to be higher than expected by chance in a given DNA region in order for it to be designated as a CpG island.
Typically, a region is considered a CpG island if it is at least 200 base pairs long and has a GC content greater than 50% and an observed to expected CpG ratio of 0.6 or greater. This means that the frequency of CpG dinucleotides is higher than would be expected by chance based on the overall frequency of Cs and Gs in the genome.
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Consider a box in an inclined surface. The inclination angle is and the mass of the body is 10 kg. Given that the coefficient of static friction is s = 0.4, what is the maximal angle for which the body would still not slide down? a 16 degrees b 31 degrees c 49 degrees d 22 degrees A ball with velocity v₁ = 5.5 m/s and with mass m₁ = 12 kg collides with a second ball at rest and with mass m₂= 102 kg. After the collision both bodies stick together. What is the kinetic energy after the collision? a 19 J b 38 J c 97 J d 76 J
The maximal angle is found to be 22 degrees (option d).
The value is found to be 38 J (option b).
a) For the body to not slide down the inclined surface, the force of gravity acting downward must be balanced by the maximum static friction force acting upward along the surface. The maximum static friction force can be determined using the equation f_s = μ_s * N, where μ_s is the coefficient of static friction and N is the normal force. The normal force can be calculated as N = m * g * cos(θ), where m is the mass of the body, g is the acceleration due to gravity, and θ is the inclination angle. Setting the force of gravity equal to the maximum static friction force, we can solve for the maximal angle θ. Plugging in the values, we find that the maximal angle is approximately 22 degrees (option d).
b) After the collision, the two bodies stick together and move as one. The principle of conservation of momentum states that the total momentum before the collision is equal to the total momentum after the collision. Mathematically, this can be written as m₁ * v₁ = (m₁ + m₂) * v₂, where m₁ and m₂ are the masses of the two bodies, v₁ is the initial velocity of the first ball, and v₂ is the final velocity of both balls together. We can solve for v₂, which will be the final velocity of the combined bodies. Once we have v₂, we can calculate the kinetic energy using the equation KE = 0.5 * (m₁ + m₂) * v₂². Plugging in the given values, we find that the kinetic energy after the collision is approximately 38 J (option b).
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A 77.5-kg person is riding in a car moving at 18 m/s (assume this is the positive direction) when the car runs into a bridge abutment. this problem will illustrate why the invention of the airbag dramatically improved the safety of automobiles. Calculate the horizontal component of the average force, in newtons.
The horizontal component of the average force, in newtons.
a = (-18 m/s) / t
To calculate the horizontal component of the average force on the person during the collision, we'll use the formula:
F = m * a
where F is the force, m is the mass, and a is the acceleration. Since we're given the person's mass (77.5 kg) and the initial velocity of the car (18 m/s), we need to find the acceleration during the collision.
Acceleration can be found using the equation:
a = (v_f - v_i) / t
where v_f is the final velocity, v_i is the initial velocity, and t is the time taken for the collision. Assuming the car comes to a stop after the collision (v_f = 0), the equation becomes:
a = (-18 m/s) / t
We need the collision time (t) to calculate acceleration. This information isn't provided in the question, so we can't calculate the exact force. However, you can use the formula F = m * a to find the horizontal component of the average force once you have the collision time.
The invention of airbags increased safety by increasing collision time, which reduces acceleration and, in turn, reduces the force experienced by the occupants.
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does increasing the frquency of a wave also increse its wavelength?if not,how are these quantities related
Answer:
No.
Explanation:
No, increasing the frequency of a wave will not increase it's wavelength. Rather it will decrease the wavelength because frequency and wavelength are inversely related.
According to Formula:
v = f(lemda)
If the speed is kept constant to find the relationship between f and wavelength.
=> f is inversely propotional to wavelength.
Hope this helps!
Have a great day!
What is the angular speed, in rad/s, of a flywheel turning at 813. 0 rpm?.
Answer:
The angular speed will be 85.13 rad/sec
Explanation:
A baseball is thrown at an angle of 22◦ relative to the ground at a speed of 24.8 m/s. The ball is caught 43.5518 m from the thrower. The acceleration due to gravity is 9.81 m/s^2
How long is it in the air?
Answer in units of s.
How high is the tallest spot in the ball’s path?
Answer in units of m
Answer:
12 seconds in the air
2.5
very high
132
Explanation:
If 10 waves pass a point each second and their wavelength is 30m, what is their speed?
Give formula please
Answer:
300m/s
Explanation:
velocity = frequency(wavelength)
Since 10 waves pass a point each second, frequency is 10
therefore, speed = (10)(30 = 300m/s
The speed of light can be determined using the frequency and wavelength of that wave. The speed of the wave with the wavelength of 30 m and frequency of 10 s⁻¹ is 300 m/s.
What is wavelength?The wavelength of a wave is the distance that can travel per unit time or it is the distance between two consecutive crests or troughs of the wave.
The wavelength in inversely proportional to the frequency of the wave. Frequency of a wave is the number of waves passing per second.
The relation between wavelength and frequency to the speed of the wave is written as follows:
\(c = v \lambda\)
Thus speed of the wave is the product of its frequency and wavelength. Given that 10 waves pass per second. Thus, frequency is 10/s. Wavelength is 30 m . The speed is calculated as follows:
Speed of the wave = 30 × 10
= 300 m/s.
Therefore, the speed of the wave with the wavelength of 30 m and frequency of 10 s⁻¹ is 300 m/s.
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What is the difference between physical and chemical changes?
Answer:
A
Explanation:
Chemical is a reaction between 2 things signs of that would be a new color, a new substance formed, or any sign of bubbles/smoke etc. while physical changes are done on purpose such as ripping a paper or cutting a log in half! hope that helped
Why is the upward flux of a vertical vector field f0,0,1 across a surface equal to the area of the projection of the surface in the xy-plane?
The area of the projection of the surface in the xy-plane <-2x, -2y, -1>.
What is area of the projection?By projecting a three-dimensional object's form onto any plane, one may estimate the two dimensions of its area. In particular, hardness testing, axial stress, wind pressures, and terminal velocity are frequently utilised in domains of mechanical engineering and architectural engineering that are connected to this.
\(Flux = \int\limit\int\limits_{s} F.N . ds=\int\limits\int\limitsx_{R} < 0,0,1 > < -z_{x} ,-z_{y}, -1 > dA\)
\(=\int\limit\int\limitsx_{R} dA\)
normal vector N = <-2x, -2y, -1>
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