Question

Notify Me Bookmark

A 2-kg object, moving at 1 m/s, collides with a 1-kg object that is initially at rest. After the collision, the two objects are found to move away from each other at 1 m/s. Assume they form an isolated system. (a) What are their actual final velocities in the Earth reference frame? (b) What is the velocity of the center of mass of this system? Does it change as a result of the collision?

A 2-kg object, moving at 1 m/s, collides with a 1-kg object that is initially at rest. After the collision, the two objects are found to move away from each other at 1 m/s. Assume they form an isolated system. (a) What are their actual final velocities in the Earth reference frame? (b) What is the velocity of the center of mass of this system? Does it change as a result of the collision?

Image text
A 2-kg object, moving at 1 m / s , collides with a 1-kg object that is initially at rest. After the collision, the two objects are found to move away from each other at 1 m / s . Assume they form an isolated system. (a) What are their actual final velocities in the Earth reference frame? (b) What is the velocity of the center of mass of this system? Does it change as a result of the collision?

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Consider a frictionless track as shown in the figure below. A block of mass m1 = 2.00 kg is released from point (A) from a height of h = 1.15 m. It makes a perfectly inelastic collision at point (B) with a block of mass m2 = 2.00 kg that is initially at rest. After the collision, the block of mass m2 moves to the right and collides with a spring at point ( C . The spring is attached to a wall and has a spring constant of 8.59 kN/m. (a) Calculate the energy loss during the collision. Enter the magnitude. J (b) Calculate the maximum compression of the spring. cm (c) Instead of an inelastic collision, consider a head-on elastic collision at point B. During this specific elastic collision when the masses are equal, m1 transfers its kinetic energy to m2 and as a result, m1 comes to rest. Calculate the maximum compression of the spring. cm
Solution
0 0

A disk of mass m1 = 70.0 g and radius r1 = 3.50 cm slides on a frictionless sheet of ice with velocity v→, where v = 14.00 m/s, as shown in a top-down view in figure (a) below. The edge of this disk just grazes the edge of a second disk in a glancing blow. The second disk has a mass m2 = 140 g, a radius r2 = 5.00 cm, and is initially at rest. As the disks make contact, they stick together due to highly adhesive glue on the edge of each, and then rotate after the collision as shown in figure (b). (i) (a) What is the magnitude of the angular momentum (in kg⋅m2 /s ) of the two-disk system relative to its center of mass? kg⋅m2/s (b) What is the angular speed (in rad/s) about the center of mass? rad/s

Solution
0 0

A hanging weight, with a mass of m1 = 0.360 kg, is attached by a string to a block with mass m2 = 0.850 kg as shown in the figure below. The string goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the string does not stretch and does not slip on the pulley, and that the mass of the string is negligible. (a) Using energy methods, find the speed of the block (in m/s ) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s

Solution
0 0