Purchase Solution

After a block and marble collide, the block executes SHM

Not what you're looking for?

Ask Custom Question

A spring with negligible mass, and force constant k= 60 nt/m, has one end fixed, and the other end attached to a stationary block of mass M= 2.0 kg on a horizontal, frictionless table. At time t=0, a ball of mass m= .25 kg, with horizontal speed of Vb= 50 m/sec to the right before impact, hits the block and bounces off, then moving with speed Va= 40 m/sec to the left. See ATTACHMENT for a diagram with vectors and action sequence. After impact, the block executes SHM of amplitude Xm.
Find x(t) for the SHM of the block, including Xm in meters, angular frequency w in rad/sec, and initial phase Q in radians.

Purchase this Solution

Solution Summary

A spring with negligible mass with force constants are determined. A diagram with vectors and action sequences are determined.

Solution Preview

Physics notes:
A. In a collision, momentum is conserved, (but kinetic energy is not). Therefore we must equate total momentum before to that after the collision to get (maximum) velocity V of the block at x= 0, at t=0 as SHM starts.
B. After the collision, energy is conserved, as the block's kinetic energy is transformed into potential energy of the spring as the block slows down and the spring compresses.
C. From the impact point to the point where the block is momentarily brouht to rest is the amplitude Xm of the SHM.
D. The initial conditions of the SHM are: at t=0, x= 0 ...

Purchase this Solution

Free BrainMass Quizzes
Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

The Moon

Test your knowledge of moon phases and movement.

Basic Physics

This quiz will test your knowledge about basic Physics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.