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A 55-kg packing crate is pulled with constant speed across a rough floor with a rope...

A 55-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 41.0 ∘ above the horizontal.

If the tension in the rope is 175 N , how much work is done on the crate by the rope to move it 9.0 m ?

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Answer #1

This is the free body diagram. F is the applied force = tension in the rope = 175 N. The horizontal component of F i.e. F cos(a) is equal to the frictional force Ffric . As the object is not accelerating the horizontal component of the force F remains constant and equal to the friction. AS the other forces are perpendicular to the displacement x = 9m, they have no effect in work . Hence the work done on the crate is work done against friction. It is given by,

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