Lesson: Oblique Impact Mathematics

In this lesson, we will learn how to solve problems about oblique impact of objects in two dimensions involving using conservation of momentum and coefficient of restitution.

Lesson Plan

Students will be able to

solve problems involving oblique impact between smooth spheres and fixed surfaces,
solve problems involving oblique impact of two smooth spheres.

Lesson Playlist

12:04

Lesson Worksheet

Q1:

A body of mass 5 kg, moving with a velocity , collided with another body , of mass 10 kg that was moving with a velocity . After the impact, if the velocity of body became , determine the speed of body .

Q2:

Two spheres, and , have equal radii and are moving across a smooth horizontal surface. Sphere has a mass of 3 kg and is moving with velocity m/s. Sphere has a mass of 6 kg and is moving with a velocity m/s. The spheres collide when the line of their centers is parallel to . Sphere has a velocity of immediately after the impact and sphere has a velocity of immediately after the impact. Find the velocities and in vector form, taking the coefficient of restitution between the spheres to be .

Q3:

Two smooth spheres of equal radii and masses kg and kg collided while moving on a smooth horizontal surface. Before the collision, the sphere of mass kg was moving at m/s and the sphere of mass kg was moving at m/s. After the collision, the sphere of mass kg was moving at m/s. Find the speed of the sphere of mass kg after the collision.