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Chapter 11: Q. 43 (page 289)
A particle of mass m is at rest at t = 0. Its momentum for is given by kg m/s, where t is in s. Find an expression for , the force exerted on the particle as a function of time.
The expression for the force is
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A 2100 kg truck is traveling east through an intersection at 2.0 m/s when it is hit simultaneously from the side and the rear. (Some people have all the luck!) One car is a 1200 kg compact traveling north at 5.0 m/s. The other is a 1500 kg midsize traveling east at 10 m/s. The three vehicles become entangled and slide as one body. What are their speed and direction just after the collision?
A rocket in deep space has an empty mass of 150 kg and exhausts the hot gases of burned fuel at 2500 m/s. It is loaded with 600 kg of fuel, which it burns in 30 s. What is the rocket’s speed 10 s, 20 s, and 30 s after launch?
A plastic cart and a lead cart can both roll without friction on a horizontal surface. Equal forces are used to push both carts forward for a distance of , starting from rest. After traveling , is the momentum of the plastic cart greater than, less than, or equal to the momentum of the lead cart? Explain.
Angie, Brad, and Carlos are discussing a physics problem in which two identical bullets are fired with equal speeds at equalmass wood and steel blocks resting on a frictionless table. One bullet bounces off the steel block while the second becomes embedded in the wood block. “All the masses and speeds are the same,” says Angie, “so I think the blocks will have equal speeds after the collisions.” “But what about momentum?” asks Brad. “The bullet hitting the wood block transfers all its momentum and energy to the block, so the wood block should end up going faster than the steel block.” “I think the bounce is an important factor,” replies Carlos. “The steel block will be faster because the bullet bounces off it and goes back the other direction.” Which of these three do you agree with, and why?
The flowers of the bunchberry plant open with astonishing force and speed, causing the pollen grains to be ejected out of the flower in a mere 0.30 ms at an acceleration of . If the acceleration is constant, what impulse is delivered to a pollen grain with a mass of ?
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