A particle moves from x = 1.0 m to x = 3.0 m under the influence of a force described by F(x) = a/x2, with a = 9 N m2. Calculate the work done on the particle by this force.

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1) A particle moves from x = 1.0 m to x = 3.0 m under the influence of a force described by F(x) = a/x2, with a = 9 N m2. Calculate the work done on the particle by this force.

2) A fully loaded, slow-moving freight elevator has a cab with a total mass of 1200 kg, which is required to travel upward 54 m in 3.0 min. The elevator's counterweight has a moss of only 950 kg. So, the elevator motor must pull the cab upward. What average power is required of the force that motor exerts on the cab via the cable? 

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