Purchase Solution

Conservation of Momentum

Not what you're looking for?

Ask Custom Question

If a metal ball strikes a pendulum and sticks to it. It will have a relationship for conservation of momentum of m*v = (m + M) *V (m and v are the mass and initial velocity of the projectile, M is the mass of the pendulum with no initial velocity and big V is the combined velocity of the pendulum and projectile).

The conservation of energy after the collision is :
1/2 (m + M) * V^2 = (m + M)gh

The vertical rise of the pendulum is represented by h and the horizontal distance swung through is d. The quantities are related by:
R^2 = (R-h)^2 + d^2

Based on these equations, I need to derive a relationship for little v (on quantities m,M, g, R, d) and for d (in terms of m, M, g, R, and v)but am having some difficulty getting this to work out nicely. Any guidance?

Purchase this Solution

Solution Summary

The solution derives an equation for a metal ball striking a pendulum and sticking to it.

Solution Preview

m*v = (m + M) *V
or v= (m + M) *V/ m --------------------(1)

½ (m + M) * V^2 = (m + M) g h
Canceling (m + M) from both sides and rearranging

V^2 = 2 g h or V= (2 g h) ^ ½ --------------------(2)

R^2 = (R-h)^2 + d^2

R^2 = ...

Purchase this Solution

Free BrainMass Quizzes
The Moon

Test your knowledge of moon phases and movement.

Classical Mechanics

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

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.

Intro to the Physics Waves

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

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.