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.
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 .
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 .
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.