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Q. For a spherical celestial object of radius R, acceleration due to gravity g at a distance x from the center of the object is g = g0R2/x2, where g0 is the acceleration due to gravity at the object's surface and x > R. For the moon, take g0 = 1.63 m/s2 and R = 3200 km. If a rock is released from rest at a height of 3R above lunar surface, with what speed does rock impact the moon? Hint: Its acceleration is a function of position and increases as the object falls. So do not use constant acceleration free-fall equations, but go back to basics.
A model rocket is launched straight upward. Its altitude y as a function of time is given by y = bt -ct2, where b = 82 m/s, c = 4.9 m/s2, t is the time in seconds, and y is in meters, (a) make use of differentiation to find out a general expressio..
A boy is attempting to swim directly across a river; he is able to swim at a speed of 0.421 m/s relative to the water. The river is 2.48 m wide and the boy ends up at 4.77 m downstream from his starting point.
Green light (λ = 546 nm) strikes a single slit at normal incidence. What width slit will generate a central maximum that is 3.00 cm wide on a screen 1.76 m from the slit.
A large power plant converts 1000 kg of water to steam every second to run its generators. Compute the amount of heat required each second just to vaporize the water, assuming this is done at 100 C. What is the power input in megawatts for this pu..
A space traveler weighs 565 N on earth. What will the traveler weigh on another planet whose radius is 3 times that of earth and whose mass is twice that of earth.
Compute the acceleration of each box decide maximum distance the car rolls up the hill
The potential at location A is 392 V. A positively charged particle is released there from rest and arrives at location B with a speed vB. The potential at location C is 780 V, and when released from rest from this spot, the particle arrives at B wit..
Two particles moving under the influence of their mutual gravitational force describe circular orbits about one another with a period T. If they are suddenly stopped in their orbits and allowed to gravitate towards each other, show that they would..
Assume a 64 kg boy and a 42 kg girl use a mass less rope in a tug-of-war on an icy, resistance-free surface. If the acceleration of the girl toward the boy is 3 m/s2, find out the magnitude of the acceleration of the boy toward girl.
The angular momentum of the electron as it moves around the center of the circle is 1.40 × 10-25J•s.Find the radius of the circular path.
The immediate environment of a reactor contains a large flux of 10 MeV gamma rays. Resolve the thickness of lead required to reduce the intensity by a factor of 1012. Assume the mass absorption coefficient of Pb for 10 MeV photons is m/r = 0.06 cm..
Find tension in the back muscle and the compressional force
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