Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.
Please verify your account before proceeding.
In this lesson, we will learn how to use Newton's law of restitution to solve problems about the impact of two smooth spheres.
Q1:
A body π΄ of mass 5 kg, moving with a velocity β π£ = 2 β π + β π / 1 m s , collided with another body π΅ , of mass 10 kg that was moving with a velocity β π£ = β 6 β π β 3 β π / 2 m s . After the impact, if the velocity of body π΄ became β π£ = β 6 β π β 3 β π / β² 1 m s , determine the speed of body π΅ .
Q2:
Two spheres, π΄ and π΅ , have equal radii and are moving across a smooth horizontal surface. Sphere π΄ has a mass of 4 kg and is moving with velocity ( 3 ) j m/s. Sphere π΅ has a mass of 5 kg and moves with a velocity ( β 3 ) i j m/s. The spheres collide when the line of their centres is parallel to j . Sphere π΄ has a velocity of π£ 1 immediately after the impact and sphere π΅ has a velocity of π£ 2 immediately after the impact. Find the velocities π£ 1 and π£ 2 in vector form, taking the coefficient of restitution between the spheres to be 1 2 .
Q3:
Two smooth spheres of equal radii and masses π kg and 5 π kg collided while moving on a smooth horizontal surface. Before the collision, the sphere of mass π kg was moving at ( 9 + 5 ) i j m/s and the sphere of mass 5 π kg was moving at ( β 5 ) i j m/s. After the collision, the sphere of mass π kg was moving at ( 5 + 7 ) i j m/s. Find the speed of the sphere of mass 5 π kg after the collision.
Donβt have an account? Sign Up
