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Chapter 7: 2P (page 170)
If a Saturn V rocket with an Apollo spacecraft attached had a combined mass of and reached a speed of , how much kinetic energy would it then have?
The kinetic energy of a Saturn V rocket with an attached Apollo spacecraft is .
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A 12.0 Nforce with a fixed orientation does work on a particle as the particle moves through the three-dimensional displacement . What is the angle between the force and the displacement if the change in the particle’s kinetic energy is (a) +30.0 J and (b) -30.0 J ?
If a ski lift raises 100 passengers averaging 660 N in weight to a height of 150 m in 60.0 s, at constant speed, what average power is required of the force making the lift ?
(a) In 1975 the roof of Montreal’s Velodrome, with a weight of 360 kN, was lifted by 10 cm so that it could be centered. How much work was done on the roof by the forces making the lift? (b) In 1960 a Tampa, Florida, mother reportedly raised one end of a car that had fallen onto her son when a jack failed. If her panic lift effectively raised 4000 N (about of the car’s weight) by 5.0 cm, how much work did her force do on the car?
During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke’s law with a spring constant of 100 N/m. If the hose is stretched by 5.00 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length?
Numerical integration. A breadbox is made to move along an x axis from by a force with a magnitude given by , with x in meters and F in Newton. (Here exp is the exponential function.) How much work is done on the breadbox by the force?
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