3. Wellington Wildcat is sliding his very full box full of mascot props at veloc

Question

3. Wellington Wildcat is sliding his very full box full of mascot props at velocity v across a nearly frictionless floor box cannot move, (a) What is the box's angular velocity just after the collision? Consider the box to be a uniform cube of side length a. (the athletic department is doing wel) (the athletic department is doing well). If the box suddenly hits a crack in the floor such that the lower edge of the mass M and 1 -2/3Ma about an edge. (hint: think about what quantities are conserved during the collision)

Explanation / Answer

>> As, Energy of the system will be conserved during the collision

>> Before Collision, Kinetic Energy = (1/2)Mv2

>> After Collision, Rotational ENergy = (1/2)Iw2

As, I = Moment of Inertia = (2/3)Ma2

=> (1/2)Mv2 = (1/2)Iw2 = (1/3)Ma2w2

=> w = 1.225*v/a .....REQUIRED ANGULAR VELOCITY....

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