In a scene in the classic movie \"Die Hard\" Bruce Willis lieso n the floor of a

Question

In a scene in the classic movie "Die Hard" Bruce Willis lieso n the floor of a high rise building with one end of a water hose wrapped around him. THe other end is attached to the hose reel that is dangling out the floor length window (which is missing having been demolished as Bruce swung into it to get in). Bruce, whose mass is 82 kg, is being dragged out the window by the reel whose mass is 55 kg. Assume the hose is of negligible mass, the end of the window sill acts as a frictionless pulley. The coefficient of kinetic friction between Bruce and the recently waxed floor is 0.24. The hose that stretches from Bruce to the window ledge is horizontal. What is the tension in the hose?

Explanation / Answer

Here ,

let the acceleration of bruce is a

Now ,Using second law of motion

net force * a = Mreel * g - u * Mbruce * g

(55 + 82) * a = 55 * 9.8 - 0.24 *82 * 9.8

a = 2.53 m/s^2

Now, for the reel

55 * 9.8 - T = 55 * 2.53

T = 400 N

the tension in the hose is 400 N

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