2. respective masses m and 2m and of equal radii rest on a smooth horizontal plane. A is projected towards B with speed u to collide directly with B. Given that the coefficient of restitution between A and B is e and that the speed of B after this is , find the value of e and the velocity of A after impact, the magnitude of impulse exerted by A on B, the percentage loss in kinetic energy during this impact. (a) (b) (c)

2. respective masses m and 2m and of equal radii rest on a smooth horizontal plane. A is projected towards B with speed u to collide directly with B. Given that the coefficient of restitution between A and B is e and that the speed of B after this is , find the value of e and the velocity of A after impact, the magnitude of impulse exerted by A on B, the percentage loss in kinetic energy during this impact. (a) (b) (c)

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.42P

See similar textbooks

Similar questions

Check 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?
Check 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)?
Two particles of masses m1 and m2 , move uniformly in different circles of radii R1 and R2 R2 about origin in the x, y-plane. The x- and y-coordinates of the center of mass and that of particle 1 are given as follows (where length is in meters and tin seconds): x1(t)=4cos(2t) , y1(t)=4sin(2t) and: xCM(t)=4cos(2t) , yCM(t)=3sin(2t) . a. Find the radius of the circle in which particle 1 moves. b. Find the x- and y-coordinates of particle 2 and the radius of the circle this particle moves.
A 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?
A 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.
If a rainstorm drops 1 cm of rain over an area of 10km2 in the period of 1 hour, what is the momentum of the rain that falls in one second? Assume the terminal velocity of a raindrop is 10 m/s.
(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 projectile of mass 2.0 kg is fired in the air at an angle of 40.0 to the horizon at a speed of 50.0 m/s. At the highest point in its flight, the projectile breaks into three parts of mass 1.0 kg, 0.7 kg, and 0.3 kg. The 1.0-kg part falls straight down after breakup with an initial speed of 10.0 m/s, the 0.7-kg part moves in the original forward direction, and the 0.3-kg part goes straight up. Launch a. Find the speeds of the 0.3-kg and 0.7-kg pieces immediately after the break-up. b. How high from the break-up point does the 0.3-kg piece go before coming to rest? c. Where does the 0.7-kg piece land relative to where it was fired from?
Ball having mass 8.9kg and velocity 4.4m/s travels to the east. Impulse given at point O, makes it change direction to north with velocity 9.5 m/s. What is the direction of the given impulse, measured in unit of degrees, if the angle is defined as between the horizontal direction (east) and the impulse?
Given a force of 200N acting upon a system of two crates A and B which initially start from rest, slides on the horizontal axis and which have masses of 40kg and 30kg respectively, find the magnitude of the net impulse of the system after 5 seconds if the coefficient of kinetic friction between the crates and the surface is 0.25
Two manned satellites approach one another at a relative speed of 0.500 m/s, intending to dock. The first has a mass of 4.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second? (Adopt the reference frame in which the second satellite is initially at rest and assume that the positive direction is directed from the second satellite towards the first satellite.)