32 cm0= 57°M,M,7. Two solid metal balls, M1 = 40 g and M2 = 60 g, are each suspended from 32 cm long chords in aNewton's Cradie type arrangement as shown in the figure above. The lighter ball is pulled away so thatit makes a 57° angle with respect to the vertical and then released. a) What is the maximum angle theheavier ball will make with respect to the vertical after the collision? b) What is the maximum angle the%3Dlighter ball will make with respect to the vertical after the collision?

Answered: Image /qna-images/answer/1e9a7ce5-eafe-4b22-bdb6-96c2a381338d.jpg

Answered: 32 cm 0= 57° M,M, 7. Two solid metal…

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 53P: A billiard ball moving at 5.00 m/s strikes a stationary ball of the same mass. Alter the collision,...

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In Section 1.4, we considered the collision of a karate expert’s hand with a concrete block. Based on the graphs in Figure 1.31, the initial downward speed of the fist with mass 0.75 kg is about -13 m/s and the collision time is approximately 25 ms. Find the impulse and the average force exerted on the block by the fist during the collision.
Initially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in Figure P11.40. They are released from rest simultaneously and collide in the trough of the track. If m2 = 4 m1 and the collision is elastic, find an expression for the velocity of each ball immediately after the collision. FIGURE P11.40 Problems 40 and 41.
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) 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 basketball with a mass of 0.62 kg falls vertically to the floor where it hits with a speed of 6 m/s. (We take the positive direction to be upward here.) The ball rebounds, leaving the floor with a speed of 4.5 m/s. (a) What impulse acts on the ball during its collision with the floor? (b) If the ball is in contact with the floor for 0.04 s, what is the average force of the ball on the floor?
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
The figure below shows a bullet of mass 200 g traveling horizontally towards the east with speed 400 m/s, which strikes a block of mass 1.5 kg that is initially at rest on a frictionless table. After striking the block, the bullet is embedded in the block and the block and the bullet move together as one unit. a. What is the magnitude and direction of the velocity of the block/bullet combination immediately after the impact? b. What is the magnitude and direction of the impulse by the block on the bullet? c. What is the magnitude and direction of the impulse from the bullet on the block? d. If it took 3 ms for the bullet to change the speed from 400 m/s to the final speed after impact, what is the average force between the block and the bullet during this time?
A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) What is the average force applied to the driver by the seatbelt?
The x-component of a force on a 46-g golf ball by a 7-iron versus time is plotted in the following figure: Find the x-component of the impulse during the intervals i. [0,50ms] , and ii. [50ms,100ms] Find the change in the x-component of the momentum during the intervals iii. [0,50ms] , and iv. [50ms,100ms]
What is an inelastic collision? What is a perfectly inelastic collision?
A billiard ball moving at 5.00 m/s strikes a stationary ball of the same mass. Alter the collision, the first ball moves at 4.33 m/s at an angle of 30.0 with respect to the original line of motion, (a) Find the velocity (magnitude and direction) of the second ball after collision, (h) Was the collision inelastic or elastic?
A soccer player runs up behind a 0.450-kg soccer ball traveling at 3.20 m/s and kicks it in the same direction as it is moving, increasing its speed to 12.8 m/s. (a) What is the change in the magnitude of the balls momentum? (b) What magnitude impulse did the soccer player deliver to the ball? (c) What magnitude impulse would be required to kick the ball in the opposite direction at 12.8 m/s, instead? (See Section 6.1.)

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