(10%) Problem 9: A 86-kg ice hockey player hits a 0.175-kg puck, giving the puck
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(10%) Problem 9: A 86-kg ice hockey player hits a 0.175-kg puck, giving the puck a speed of 35 ms O A If both are initially at rest and if the ice is frictionless, how far, in centimeters, does the player recoil in the time it takes the puck to reach the goal, 13 m away? Grade Summa Deductions Potential ry 090 100% cos0 7 8 9 tan() | acosO Sin Submissions cotanasin0 atan cosh0 anh cotanhO Attempts remaining:J5 (5% per attempt) detailed view acotanOsinh END Degrees Radians Submit Hint I give up! Hints: 590 deduction per hint. Hints r emaining: 2 Feedback: 590 deduction per feedback.Explanation / Answer
Let’s use the following equation to determine the time for the puck to move 13 meters.
d = v * t
13 = 35 * t
t = 0.37 second
In this problem, momentum is conserved. Since both objects are initially at rest, the initial momentum is 0. Let’s use the following equation to determine the puck’s momentum.
M = 0.175 * 35 = 6.125
The player momentum is -6.125. Let’s use the same equation to determine the player’s velocity.
-6.125 = 86 * v
v = -0.071 m/s
The negative sign means the player is moving in the opposite direction of the puck. Let’s use the following equation to distance it moves as the puck moves 13 meters.
d = v * t = 0.071 * 0.37 = 0.026 meter
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