#7 (a-b) (1000) Problem 7: A young 31kg ice hockey goalie, originally at rest, c

Question

#7 (a-b)

(1000) Problem 7: A young 31kg ice hockey goalie, originally at rest, catches a a 135-kg hockey puck slapped at hin at a speed of 34.5 m/s. In this problem, take the original direction of the puck as positive 50% Part (a) Suppose the goalie and the ice puck have an elastic collision and the puck is reflected back in the direction from which it came. What would the final velocity of the puck, in meters per second, be in this case? 5000 Part (b) Suppose the goalie and the ice puck have an elastic collision and the puck is reflected back in the direction from which it came. What would the final velocity, in meters per second, of the goalie be in this case? Grade Summary Deductions 0% Potential 100% sin() | cos() | tan() | | (11-171819 cotan asinacos atan) acotansinh coshO tanh cotanh0 Submissions Attempts remaining 7 (1% per attempt) detailed view 2 3 0 Degrees Radians

Explanation / Answer

part a)

m1 = 31 Kg

m2 = 0.135 Kg

part a) let the final velocity of puck is v1

final velocity of puck is v2

m1* u1 + m2 * u2 = m1 * v1 + m2 * v2

31 * 0 + 0.135 * 34.5 = 31 * v1 + 0.135 * v2 ---(1)

as the collision is elastic

v1 - v2 = 34.5 ---(2)

solving for v1 and v2

v2 = -34.2 m/s

v1 = 0.30 m/s

the velocity of the puck is -34.3 m/s

b) velocity of the goalie is 0.30 m/s

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