A worker pushing a 35.0 kg wooden crate at a constant speed for 12.0 m along a woodfloor does 350 J of work by applying a constant horizontal force of magnitudeF on the crate.(a) Determine the value of F.(b) If the worker now applies a force greater than F, describe the subsequent motion ofthe crate.(c) Describe what would happen to the crate if the applied force is less than F.
Question
A worker pushing a 35.0 kg wooden crate at a constant speed for 12.0 m along a woodfloor does 350 J of work by applying a constant horizontal force of magnitudeF on the crate.(a) Determine the value of F.(b) If the worker now applies a force greater than F, describe the subsequent motion ofthe crate.(c) Describe what would happen to the crate if the applied force is less than F.
Solution
(a) To determine the value of F, we can use the formula for work done, which is given by the equation W = Fd, where W is the work done, F is the force applied, and d is the distance over which the force is applied. In this case, the work done is 350 J and the distance is 12.0 m. Plugging these values into the equation, we have 350 J = F * 12.0 m. Solving for F, we get F = 350 J / 12.0 m = 29.2 N.
(b) If the worker now applies a force greater than F, the subsequent motion of the crate will depend on the magnitude of the applied force. If the applied force is greater than the force required to overcome the friction between the crate and the wood floor, the crate will accelerate in the direction of the applied force. The crate will continue to accelerate as long as the applied force is greater than the force of friction.
(c) If the applied force is less than F, the crate will experience a net force in the opposite direction of the applied force. This net force will be the difference between the applied force and the force of friction. As a result, the crate will decelerate and eventually come to a stop if the applied force is not enough to overcome the force of friction. If the applied force is significantly less than the force of friction, the crate may even start moving in the opposite direction.
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