Purchase Solution

Elastic and inelastic collision of two objects with arbitrary mass

Not what you're looking for?

An object A moving with velocity V collides with a stationary object B. After the Collision, A is moving with velocity (1/2)V and B with velocity (3/2)V. Find the ratio of their masses.

If, instead of bouncing apart, the two bodies stick together after the collision, with what velocity would they then move?

Solution Summary

Detailed explanation of equations and solution.

Solution Preview

Before the collision:
Object A mass=m1 velocity = v1i
Object B mass=m2 velocity = 0 (rest)

After the collision:
Object A mass=m1 velocity = v1f
Object B mass=m2 velocity = v2f

======================================================

In an elastic collision, the kinetic energy and linear momentum of each colliding body may change, but the total kinetic energy and the total linear momentum of the system remain the same.

According to the conservation of the total linear momentum,
m1v1i = m1v1f + m2v2f -------(1)

According to the conservation of the total kinetic energy,
(½)m1[(v1i)^2] = (½)m1[(v1f)^2] + (½)m2[(v2f)^2] ---------(2)

Equation (1) can be written as
m1(v1i - v1f) = m2v2f ...

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.

The Moon

Test your knowledge of moon phases and movement.

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.