42. T An bullet of mass m = = 8.00 g is fired into a block of mass M = 250 g g that is initially at rest at the edge of a table of height h= 1.00 m (Fig. P6.42). The Figure P6.42 bullet remains in the block, and after the impact the block lands d = 2.00 m from the bottom of the table. Determine the initial speed of the bullet h m M -d-

42. T An bullet of mass m = = 8.00 g is fired into a block of mass M = 250 g g that is initially at rest at the edge of a table of height h= 1.00 m (Fig. P6.42). The Figure P6.42 bullet remains in the block, and after the impact the block lands d = 2.00 m from the bottom of the table. Determine the initial speed of the bullet h m M -d-

Name: Collisions in one dimension or glancing collisions? 42. T An bullet of
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Description: Collisions in one dimension or glancing collisions? 42. T An bullet ofmass m=8.00 g isfired into a blockmMof mass M = 250 ggthat is initially atrest at the edgeof a table ofheight h = 1.00 m(Fig. P6.42). TheFigure P6.42bullet remains in the block, an

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum, Impulse, And Collisions

Section: Chapter Questions

Problem 45P: A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers...

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A tennis ball of mass 57.0 g is held just above a basketball of mass 590 g. With their centers vertically aligned, both balls are released from rest at the same time, falling through a distance of 1.20 m, as shown in Figure P6.45. (a) Find the magnitude of the basketballs velocity the instant before the basketball reaches the ground. (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball so that it collides with the tennis ball just above it. To what height does the tennis ball rebound? Figure P6.45
Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg are released from rest at a height of h = 5.00 m on a friction less track as shown in Figure P9.77. When they meet on the level portion of the track, they undergo a head-on, elastic collision. Determine the maximum heights to which m, and rise on the curved portion of the track after the collision. \
A 65.0-kg basketball player jumps vertically and leaves the floor with a velocity of 1.80 m/s upward, (a) What impulse does the player experience? (b) What force does the floor exert on the player before the jump? (c) What is the total average force exerted by the floor on the player if the player is in contact with the floor for 0.450 s during the jump?
You hold a slingshot at arms length, pull the light elastic band back to your chin, and release it to launch a pebble horizontally with speed 200 cm/s. With the same procedure, you fire a bean with speed 600 cm/s. What is the ratio of the mass of the bean to the mass of the pebble? (a) 19 (b) 13 (c) 1 (d) 3(e) 9
(a) If two automobiles collide, they usually do not stick together. Does this mean the collision is elastic? (b) Explain why a head-on collision is likely to be more dangerous than other types of collisions.
a man of mass m1 = 70.0 kg is skating at v1 = 8.00 m/s behind his wife of mass m2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collides with her. He grabs her around the waist, and they maintain their balance. (a) Sketch the problem with before-and-after diagrams, representing the skaters as blocks. (b) Is the collision best described as elastic, inelastic, or perfectly inelastic? Why? (c) Write the general equation for conservation of momentum in terms of m1, v1, m2, v2, and final velocity vf. (d) Solve the momentum equation for vf. (e) Substitute values, obtaining the numerical value for vf, their speed after the collision.
(a) Does the center of mass of a rocket in free space accelerate? Explain. (b) Can the speed of a rocket exceed the exhaust speed of the fuel? Explain.
A block with mass m1 = 0.500 kg is released from rest on a frictionless track at a distance h1, = 2.50 m above the top of a table. It then collides elastically with an object having mass m2 = 1.00 kg that is initially at rest on the table, as shown in Figure P6.71. (a) Determine the velocities of the two objects just after the collision. (b) How high up the track does the 0.500-kg object travel back after the collision? (c) How far away from the bottom of the table does the1.00-kg object land, given that the height of the table h2 = 2.00 m? (d) How far away from the bottom of the table does the 0.500-kg object eventually band? Figure P6.71
A small block of mass m 1 = 0.500 kg is released from rest atthe top of a curved wedge of mass m 2 =3.00 kg, which sits ona frictionless horizontal surface as in Figure P6.73a. When theblock leaves the wedge, its velocity is measured to be 4.00 m/sto the right, as in Figure P6.73b. (a) What is the velocity ofthe wedge after the block reaches the horizontal surface? (b)What is the height h of the wedge?
A railroad car of mass 2.00 x 104 kg moving at 3.00 m/s collidesand couples with two coupled railroad cars, each of thesame mass as the single car and moving in the same directionat 1.20 m/s. (a) What is the speed of the three coupled carsafter the collision? (b) How much kinetic energy is lost in thecollision?
A tennis ball of mass 57.0 g is heldjust above a basketball of mass 590 g. Withtheir centers vertically aligned, both ballsare released from rest at the same time,falling through a distance of 1.20 m, asshown in Figure P6.45. (a) Find the magnitudeof the basketball’s velocity theinstant before the basketball reaches theground. (b) Assume that an elastic collision with the groundinstantaneously reverses the velocity of the basketball so that itcollides with the tennis ball just above it. To what height doesthe tennis ball rebound?
A man of mass m 1 = 70.0 kg is skating at v1 = 8.00 m/sbehind his wife of mass m 2 = 50.0 kg, who is skating at v2 = 4.00 m/s. Instead of passing her, he inadvertently collideswith her. He grabs her around the waist, and they maintaintheir balance. (a) Sketch the problem with before - and - afterdiagrams, representing the skaters as blocks. (b) Is the collisionbest described as elastic, inelastic, or perfectly inelastic? Why?(c) Write the general equation for conservation of momentumin terms of m 1, v 1, m 2, v 2, and final velocity vf . (d) Solve themomentum equation for vf . (e) Substitute values, obtaining thenumerical value for vf , their speed after the collision.