How much work did the movers do (horizontally) pushing a 140-kg crate 10.1 m across a rough floor without acceleration, if the effective coefficient of friction was 0.60?
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To calculate the work done by the movers in pushing the crate horizontally, we need to consider the force applied and the distance over which it was applied.
The force can be determined by the friction between the crate and the floor. The formula to calculate the frictional force is:
Frictional Force = Coefficient of Friction * Normal Force
The normal force is the force exerted by the floor on the crate in the vertical direction, which can be calculated using the weight of the crate:
Normal Force = Mass * Gravity
where the mass of the crate is 140 kg and the acceleration due to gravity is approximately 9.8 m/s^2.
Next, we can calculate the frictional force using the coefficient of friction (0.60) and the normal force.
Frictional Force = 0.60 * (140 kg * 9.8 m/s^2)
Now that we have the force, we can calculate the work done using the formula:
Work = Force * Distance
Since the force is acting in the horizontal direction and the distance covered is 10.1 m, we can calculate the work done as:
Work = Frictional Force * 10.1 m
By plugging in the values, we can find the result.