A block with mass m, - 0.550 kg is released from rest on a frictionless track at a distance h, = 2.70 m above the top of a table. It then collides elastically with an object having mass m, = 1.10 kg that is Initially at rest on the table, as shown in the figure below. (a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) m/s m/s (b) How high up the track does the 0.550-kg object travel back after the collision? m (C) How far away from the bottom of the table does the 1.10-kg object land, given that the height of the table is h, = 1.55 m?

A block with mass m, - 0.550 kg is released from rest on a frictionless track at a distance h, = 2.70 m above the top of a table. It then collides elastically with an object having mass m, = 1.10 kg that is Initially at rest on the table, as shown in the figure below. (a) Determine the velocities of the two objects just after the collision. (Assume the positive direction is to the right. Indicate the direction with the signs of your answers.) m/s m/s (b) How high up the track does the 0.550-kg object travel back after the collision? m (C) How far away from the bottom of the table does the 1.10-kg object land, given that the height of the table is h, = 1.55 m?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 32P

See similar textbooks

Similar questions

Starting with equations m1v1=m1v1cos1+m2v2cos2 and 0=m1v1cos1+m2v2sin2 for conservation of momentum in the x- and y -directions and assuming that one object is originally stationary, prove that for an elastic collision of two objects of equal masses, 12mv12=12mv22+mv1v2cos(12) as discussed in the text.
Two objects of equal mass are moving with equal and opposite velocities when they collide. Can all the kinetic energy be lost in the collision?
An object of mass 3.00 kg, moving with an initial velocity of 5.00im/s, collides with and sticks to an object of mass 2.00 kg with an initial velocity of 3.00jm/s. Find the final velocity of the composite object.
A ball of mass 250 g is thrown with an initial velocity of 25 m/s at an angle of 30 with the horizontal direction. Ignore air resistance. What is the momentum of the ball after 0.2 s? (Do this problem by finding the components of the momentum first, and then constructing the magnitude and direction of the momentum vector from the components.)
A 2.00-kg particle has a velocity (2.00i3.00j)m/s, and a 3.00-kg particle has a velocity (1.00i+6.00j)m/s. Find (a) the velocity of the center of mass and (b) the total momentum of the system.
In an elastic collision of two particles with masses m1 and m2, the initial velocities are u1 and u2 = u1. If the initial kinetic energies of the two particles are equal, find the conditions on u1/u2 and m1/m2 such that m1 is at rest after the collision. Examine both cases for the sign of .
A billiard ball, labeled 1, moving horizontally strikes another billiard ball, labeled 2, at rest. Before impact, ball 1 was moving at a speed of 3.00 m/s, and after impact it is moving at 0.50 m/s at 50 from the original direction. If the two balls have equal masses of 300 g, what is the velocity of the ball 2 after the impact?
Two 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.
A rocket takes off from Earth and reaches a speed of 100 m/s in 10.0 s. If the exhaust speed is 1500 m/s and the mass of fuel burned is 100 kg, what was the initial mass of the rocket?
A 3.00-kg particle has a velocity of (3.00i4.00j)m/s. (a) Find its x and y components of momentum. (b) Find the magnitude and direction of its momentum.
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.
A ball moving at 0.95 m/s collides with a stationary ball. After a collision, they separated with the first ball moving 50° to the right while the other ball moved 40° to the left. If both balls has a mass of 1.5 kg, compute for their final velocities.