1) A ball of mass m strikes a wall that is perpendicular to its path at speed v

Question

1) A ball of mass m strikes a wall that is perpendicular to its path at speed v and rebounds in the opposite direction with the same speed. What is the magnitude of the impulse imparted to the ball by the wall?

2) Falcon comes in for landing on a carrier of mass 6500kg rotating at an angular velocity of 1.8 rads/s. If the carrier is in the shape of a disc and has a diameter of 300m, what is the angular velocity after the 1000kg Falcon lands 100m from the edge of the carrier, assuming no torque is acting on the carrier? (We can assume the Falcon as having similar moment of inertia as a point.)

Explanation / Answer

here,

mass of ball is m

initial velocity = -v m/s

final velocity = v m/s

impulse = change in momentum

impulse = m (final velocity - initial velocity)

impulse = 2*m*v kgm/s

impulse is 2*m*v in the direction of final velocity

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