Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 8, Problem 17P
(a)
To determine
Whether the given statement is true or false.
(b)
To determine
Whether the given statement is true or false.
(c)
To determine
Whether the given statement is true or false.
(d)
To determine
Whether the given statement is true or false.
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A 10.0 g marble slidesto the left at a speed of 0.400 m/son the frictionless, horizontalsurface of an icy New York sidewalkand has a head-on, elasticcollision with a larger 30.0 gmarble sliding to the right at aspeed of 0.200 m/s (Fig).(a) Find the velocity of eachmarble (magnitude and direction) after the collision. (Since the collisionis head-on, all motion is along a line.) (b) Calculate the change in momentum(the momentum after the collision minus the momentum beforethe collision) for each marble. Compare your values for each marble.(c) Calculate the change in kinetic energy (the kinetic energy after the collision minus the kinetic energy before the collision) for each marble.Compare your values for each marble.
Two identical pool balls are shot directly at one another at the same speed. Describe the ball'smotions after they collide, assuming that frictional forces may be neglected and the collisionis completely elastic. (Answer in no more than 3 sentences)
In a perfectly inelastic one-dimensional collision between two moving objects, what condition alone is necessary so that the final kinetic energy of the system is zero after the collision? (a) The objects must have initial momenta with the same magnitude but opposite directions. (b) The objectsmust have the same mass. (c) The objects must have the same initial velocity.(d) The objects must have the same initial speed, with velocity vectors inopposite directions.
Chapter 8 Solutions
Physics for Scientists and Engineers
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- For the preceding problem, find the final speed of the case of each sled for the case of an elastic collision.arrow_forwardCheck Your Understanding Suppose the initial velocities were not at right angles to each other. How would this change both the physical result and the mathematical analysis of the collision?arrow_forwardCheck Your Understanding Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)? Would the ball’s change of momentum have been larger, smaller, or the same, if it had collided with the floor and stopped (without bouncing)?arrow_forward
- A 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a 1-kg object that is initially at rest. The velocity of the 1-kg object after the collision is (a) greater than 4 m/s, (b) less than 4 m/s, (c) equal to 4 m/s, (d) zero, or (e) impossible to say based on the information provided.arrow_forwardTwo identical objects (such as billiard balls) have a one-dimensional collision in which one is initially motionless. After the collision, the moving object is stationary and the other moves with the same speed as the other originally had. Show that both momentum and kinetic energy are conserved.arrow_forwardA proton traveling at 3.0106m/s scatters elastically from an initially stationary alpha particle and is deflected at an angle of 85 with respect to its initial velocity. Given that the alpha particle has four times the mass of the proton, what percent of its initial kinetic energy does the proton retain after the collision?arrow_forward
- Check Your Understanding Suppose there had been no friction (the collision happened on ice); that would make k zero, and thus vc.f=2kgd=0 , which is obviously wrong. What is the mistake in this conclusion?arrow_forwardDerive the equations giving the final speeds for two objects that collide elastically, with the mass of the objects being m1 and m2 , and the initial speeds being v1,i and v2,i=0 (i.e., second object is initially stationary).arrow_forwardWhich has a larger magnitude of momentum: a 3000-kg elephant moving at 40 km/h or a 60-kg cheetah moving at 112 km/h?arrow_forward
- Check Your Understanding Even if there were some friction on the ice, it is still possible to use conservation of momentum to solve this problem, but you would need to imposed an additional condition on the problem. What is that additional condition?arrow_forwardCheck Your Understanding The changes of momentum for Philae and for Comet 67/P were equal (in magnitude). Were the impulses experienced by Philae and the comet equal? How about the forces? How about the changes of kinetic energies?arrow_forwardA hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.arrow_forward
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