A stone slides across the ice and collides with a stick. Compare two ways the st

Question

A stone slides across the ice and collides with a stick. Compare two ways the stone could hit the stick. One way, the stone hits the end of the stick; the other way, the stone hits the center of the stick. Suppose the stone has the same velocity in each case. Just qualitatively - this is about getting a physical sense of what happens - compare what happens as a result of the two collisions with respect to The velocity of the stick - that is, of its center of mass. The angular velocity of the stick spins around its center of mass. The possibility of damage to the stick - does the stone dent it?

Explanation / Answer

in both the cases the total linear momentum remain conserved. if it is perfectly elastic collision then total kinetic energy remains conserved also. in second case some torque for the rotation is provided also if the collision is perfectly elasticthen initial translational K.E=(1/2)mv2+(1/2)I2 this shows that in the second case the linear speed after collision will be less the possibility of damaging the stick is more in the first case

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