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.
Students will be able to
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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