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Chapter 4: Q3CQ (page 159)
How are inertia and mass related?
The object with more mass has more inertia. Inertia is directly proportional to the mass of the body.
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Suppose a 60.0-kg gymnast climbs a rope.
(a) What is the tension in the rope if he climbs at a constant speed?
(b) What is the tension in the rope if he accelerates upward at a rate of 1.50 m/s2?
When you take off in a jet aircraft, there is a sensation of being pushed back into the seat. Explain why you move backward in the seat鈥攊s there really a force backward on you? (The same reasoning explains whiplash injuries, in which the head is apparently thrown backward.)
(a) What is the strength of the weak nuclear force relative to the strong nuclear force?
(b) What is the strength of the weak nuclear force relative to the electromagnetic force?
Since the weak nuclear force acts at only very short distances, such as inside nuclei, where the strong and electromagnetic forces also act, it might seem surprising that we have any knowledge of it at all. We have such knowledge because the weak nuclear force is responsible for beta decay, a type of nuclear decay not explained by other forces.
A basketball player jumps straight up for a ball. To do this, he lowers his body 0.300 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.900 m above the floor.
(a) Calculate his velocity when he leaves the floor.
(b) Calculate his acceleration while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.300 m.
(c) Calculate the force he exerts on the floor to do this, given that his mass is 110 kg.
Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 10,000 kg. The thrust of its engines is 30,000 N.
(a) Calculate its the magnitude of acceleration in a vertical takeoff from the Moon.
(b) Could it lift off from Earth? If not, why not? If it could, calculate the magnitude of its acceleration.
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