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1. A blue ball with mass 0.0400 kg, sliding with a velocity of magnitude 0.200 m/s on frictionless, horizontal table, makes a perfectly elastic, head-on collision with red ball with unknown mass m, initially at rest. After collision, the velocity of the blue ball is 0.050 m/s in the same direction as its initial velocity. Find the (a) velocity (magnitude and direction) of the red ball after the collision and (b) the unknown mass m of the red ball.

1. A blue ball with mass 0.0400 kg, sliding with a velocity of magnitude 0.200 m/s on frictionless, horizontal table, makes a perfectly elastic, head-on collision with red ball with unknown mass m, initially at rest. After collision, the velocity of the blue ball is 0.050 m/s in the same direction as its initial velocity. Find the (a) velocity (magnitude and direction) of the red ball after the collision and (b) the unknown mass m of the red ball.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A blue ball with mass 0.0400 kg, sliding with a velocity of magnitude 0.200 m/s on frictionless, horizontal table, makes a perfectly elastic, head-on collision with red ball with unknown mass m, initially at rest. After collision, the velocity of the blue ball is 0.050 m/s in the same direction as its initial velocity. Find the (a) velocity (magnitude and direction) of the red ball after the collision and (b) the unknown mass m of the red ball. 2. A 5.00-g bullet, traveling horizontally with velocity of magnitude 400 m/s, is fired into a wooden block with mass 0.800 kg, initially at rest at level surface. The bullet passes through the block and emerges with its speed reduced to 190 m/s. The block slides a distance of 45.0 cm along the surface from its initial position. (a) What is the coefficient of kinetic friction between block and surface? (b) What is the decrease in kinetic energy of the bullet? (c) What is the kinetic energy of the block at the instant after the bullet passes through it? 3. Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.05 kg) are approaching the origin as they slide on frictionless table. The initial velocities of A and B are provided in the figure. All three spheres arrive at the origin at the same time and stick together. (a) What must the x- and y-components of the initial velocity of C be if all spheres are to end up moving at 0.50 m/s in the +x direction after the collision? (b) If C has the velocity found in part (a), what is the change in the kinetic energy of the system of the three spheres as a result of the collision? B Ug = 0.50 m/s 60° VA = 1.50 m/s A
Transcribed Image Text:1. A blue ball with mass 0.0400 kg, sliding with a velocity of magnitude 0.200 m/s on frictionless, horizontal table, makes a perfectly elastic, head-on collision with red ball with unknown mass m, initially at rest. After collision, the velocity of the blue ball is 0.050 m/s in the same direction as its initial velocity. Find the (a) velocity (magnitude and direction) of the red ball after the collision and (b) the unknown mass m of the red ball. 2. A 5.00-g bullet, traveling horizontally with velocity of magnitude 400 m/s, is fired into a wooden block with mass 0.800 kg, initially at rest at level surface. The bullet passes through the block and emerges with its speed reduced to 190 m/s. The block slides a distance of 45.0 cm along the surface from its initial position. (a) What is the coefficient of kinetic friction between block and surface? (b) What is the decrease in kinetic energy of the bullet? (c) What is the kinetic energy of the block at the instant after the bullet passes through it? 3. Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.05 kg) are approaching the origin as they slide on frictionless table. The initial velocities of A and B are provided in the figure. All three spheres arrive at the origin at the same time and stick together. (a) What must the x- and y-components of the initial velocity of C be if all spheres are to end up moving at 0.50 m/s in the +x direction after the collision? (b) If C has the velocity found in part (a), what is the change in the kinetic energy of the system of the three spheres as a result of the collision? B Ug = 0.50 m/s 60° VA = 1.50 m/s A
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