A smooth sphere of mass m is moving on a horizontal plane with a velocity 3 i ^ + j ^ . It collides with smooth a vertical wall which is parallel to the vector j ^ . If coefficient of restitution e = 1 2 then impulse that acts on the sphere is

Question

A smooth sphere of mass m is moving on a horizontal plane with a velocity 3 i ^ + j ^ . It collides with smooth a vertical wall which is parallel to the vector j ^ . If coefficient of restitution e = 1 2 then impulse that acts on the sphere is, - 9 2 m i ^, - 3 2 i ^ + j ^, 3 2 m j ^, 3 2 m j ^ + 1 2 m i ^

MARKS App · Accepted Answer

u = 3 i ^ + j ^ component of velocity parallel to the wall i.e. y - component remains unchanged. Also component of velocity perpendicular to the wall becomes e times, v ⊥ → = - e u ⊥ → v ⊥ → = - 1 2 3 i ^ Impulse J → = m v → - u → J → = m v ⊥ → - u ⊥ → J → = m - 3 2 i ^ - 3 i ^ J → = - 9 2 m i ^

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