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According to the universal law of gravitation the gravitational force on a small mass at the surface of the Earth is proportional to the product of the mass and the mass of the Earth and inversely proportional to the square of the distance between the mass and the center of the Earth. It is a well-established fact that Newton's Second Law holds and also that within the limits of experimental uncertainty all masses that are tossed or dropped in a laboratory located on the surface of the Earth experience the same constant vertical acceleration of a = -9.8 y.
(a) If the Earth's gravitational force on a mass depends on the distance between it and the center of the Earth why doesn't the magnitude of the acceleration of an object dropped from the ceiling of a laboratory increase as the object gets closer and closer to the floor of the laboratory?
(b) If the Earth's gravitational force on an object is proportional to its mass, why isn't the acceleration of an object that is twice the mass double that of the original mass? Hint: Examine the consequences of Newton's Second Law!
A hot-air balloon is travelling upwards with a constant speed of 12 m/s. An object fell from the balloon when it was at the height of 1000 m
So as to simulate weightlessness for astronauts in training, they are flown in a vertical circle. If the passengers are to experience weightlessness, how fast must an airplane be moving at the top of a vertical circle with a radius of 1545 m.
Two capacitors (C1 = 6.00 µF and C2 = 11.0 µF) are now connected in series and to a 9.00-V battery, Find the charge on each capacitor
If the current price of July WTI futures is $87 and the strike price is $86, illustrate what is the intrinsic value of this call? Illustrate what is the time value?
Find out an average acceleration of the motorcycle
A 7.5 nC charge is located 1.8m from a 4.2 nC charge. Find out the magnitude of the electrostatic force that one charge exerts on the other. Is the force attractive or repulsive.
A thin metallic shell of radius 40 cm has a charge of -25 nC on it. At the center of sphere is a point charge of 35 nC. What is the electric field 15 cm from the center of the shell.
Two equally charged particles, held 22.4 cm apart, are released from rest. The initial acceleration of the first particle is observed to be 4.0 m/s2 and that of the second particle is 6.0 m/s2.
A 2.0cm×2.0cm×6.0cm block floats in water with its long axis vertical. The length of the block above water is 1.0cm
A charge of 25 nC is uniformly distributed along a circular arc, What is the magnitude of the electric field at the center of the circle along with the arc lies
A rifle bullet is fired horizontally off the top of an ocean-based drill site. If the air resistance is negligible and the vertical distance to the water is 35 m, what additional information is needed to determine the time required for the bullet ..
Assuming all the energy is retained by the hammer head, evaluate how much will its temperature increase? (Chead=0.11 kcal/kg degrees C) 1/2 m v^2 = mc Deltatemp solve for deltaTemp.
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