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3: (left, right, or it is impossible to tell) Sheila makes a slapshot, sending t

ID: 1349405 • Letter: 3

Question

3: (left, right, or it is impossible to tell)

Sheila makes a slapshot, sending the hockey puck (mass = 0.160 kg) across the ice. Unfortunately, due to a recent wrist injury, she clips the ice, which results in a tiny puck velocity of vi = 15 m/s to the right. (See picture.) Normally, friction between the puck and the ice of the hockey rink is so small that it can be neglected. But Sheila's shot hits a rough patch of ice (muk = 0.450) The rough patch extends for a distance d = 6 meters. What is the normal force exerted by the ice upon the puck? FN= N During the rough patch, should the friction be classified as kinetic or static? In which direction is the friction acting? What is the magnitude of the force of friction acting on the puck? N What is the magnitude of the acceleration experienced by the puck due to the force of friction? m/s^2 What is the final speed of the puck? m/s

Explanation / Answer

1) The normal force will be equal to the force of gravity since the net force in vertical direction must be equal to zero as there is no motion possible in this direction. so N = 1.568 N

2) Since there is slipping between the surface so the friction force will be kinetic.

3) The motion of the puck with respect to the ice is in right direction so the friction force on th puck will be in the left direction.

4) The magnitude of the friction force will be kinetic friction coefficient times the normal force which comes out to be 0.7056 N.

5) So the acceleration experienced by the puck is friction force devided by the mass of the puck which comes out to be 4.41 m/s2.

6) Using the third equation of the motion,

Vf2 = Vi2 +2ad

so Vf = 14.09 m/s

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