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Question: Jasmine is driving her 600 kg golf cart at a speed of 12 m/s when she accidentally runs into Arthur, who has a mass of 100 kg and who is standing on the cart pathway. After the collision, Arthur and the cart are moving together. What is their speed? _____________ m/s
To find the speed of Arthur and the golf cart moving together after the collision, you should employ the principle of conservation of momentum. The total momentum before the collision should equal the total momentum after the collision. Momentum is the product of mass and velocity. Before the collision: The total momentum, P(initial) = Momentum of the golf cart + Momentum of Arthur = (Mass of the golf cart * Speed of golf cart) + (Mass of Arthur * His speed) = (600 kg * 12 m/s) + (100 kg * 0 m/s) = 7200 kg m/s + 0 = 7200 kg m/s After the collision: Jasmine, Arthur and the golf cart are moving together with a velocity, V. Their total mass is (600 kg + 100 kg) = 700 kg. We can calculate V using the conservation of momentum, P(initial) = P(final) => 7200 kg m/s = 700 kg * V => V = (7200 kg m/s) / 700 kg => V = 10.29 m/s So, the speed of Arthur and the golf cart moving together after the collision is approximately 10.29 m/s.
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