Using the formula for power, what would be the time required if 500 Joules of work is done with a force of 50 N exerted?

To determine the time required when 500 Joules of work is done with a force of 50 N, we need to use the relationship between work, force, distance, power, and time.

First, we know that work is defined as the product of force and distance. In this case, we can calculate the distance traveled (d) using the formula:

[ \text{Work} = \text{Force} \times \text{Distance} ]

Rearranging gives us:

[ \text{Distance} = \frac{\text{Work}}{\text{Force}} ]

Substituting the known values:

[ \text{Distance} = \frac{500 \text{ Joules}}{50 \text{ N}} = 10 \text{ meters} ]

Next, we can calculate the power required to do this work over a specific time using the formula:

[ \text{Power} = \frac{\text{Work}}{\text{Time}} ]

Rearranging this formula allows us to solve for time:

[ \text{Time} = \frac{\text{Work}}{\text{Power}} ]

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