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.
Q1:
A body 𝐴 of mass 5 kg, moving with a velocity vij=2+/ms, collided with another body 𝐵, of mass 10 kg that was moving with a velocity vij=−6−3/ms. After the impact, if the velocity of body 𝐴 became vij=−6−3/ms, determine the speed of body 𝐵.
Q2:
Two spheres, 𝐴 and 𝐵, have equal radii and are moving across a smooth horizontal surface. Sphere 𝐴 has a mass of 3 kg and is moving with velocity (−4−4)ij m/s. Sphere 𝐵 has a mass of 6 kg and is moving with a velocity (4−6)ij m/s. The spheres collide when the line of their centers is parallel to j. Sphere 𝐴 has a velocity of 𝑣 immediately after the impact and sphere 𝐵 has a velocity of 𝑣 immediately after the impact. Find the velocities 𝑣 and 𝑣 in vector form, taking the coefficient of restitution between the spheres to be 12.
Q3:
Two smooth spheres of equal radii and masses 𝑚 kg and 5𝑚 kg collided while moving on a smooth horizontal surface. Before the collision, the sphere of mass 𝑚 kg was moving at (9+5)ij m/s and the sphere of mass 5𝑚 kg was moving at (−5)ij m/s. After the collision, the sphere of mass 𝑚 kg was moving at (5+7)ij m/s. Find the speed of the sphere of mass 5𝑚 kg after the collision.
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