Running into the train at that speed would severely damage both train and passen

Question

Running into the train at that speed would severely damage both train and passengers.Calculate the minimum time Superman must take to stop the train, if the passengers experience an average horizontal force of 0.420 their own weight.

How far does the train then travel while being slowed to a stop?

Running into the train at that speed would severely damage both train and passengers.Calculate the minimum time Superman must take to stop the train, if the passengers experience an average horizontal force of 0.420 their own weight.

Explanation / Answer

Part A)

Conserve momentum

mv = mv

100 km/hr converts to 27.8 m/s

(82)(v) = 17647(27.8)

v = 5978 m/s

Part B)

Apply Ft = mv

(.420)(17647)(9.8)(t) = (17647)(27.8)

t = 6.75 s

Part C)

d = .5(vf + vo)t

d = (.5)(0 + 27.8)(6.75)

d = 93.9 m

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