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How do you calculate the power delivered by a force?

To determine the power delivered by a force, you can simply multiply the force by the velocity of the object.

Power is defined as the rate at which work is performed or energy is transmitted. It is measured in watts (W), and can be calculated using the formula:

P=WtP = \frac{W}{t}

where PP represents power, WW is the work done, and tt is the time taken. Work itself is defined as the force applied to an object multiplied by the distance the object moves in the direction of that force, expressed as:

W=FdW = F \cdot d

where FF is the force and dd is the distance. Consequently, power can also be expressed as:

P=FvP = F \cdot v

where vv is the velocity of the object.

For instance, if a force of 10N10 \, \text{N} is applied to an object moving at a velocity of 5m/s5 \, \text{m/s}, the power delivered by that force can be calculated as follows:

P=Fv=10N5m/s=50WP = F \cdot v = 10 \, \text{N} \cdot 5 \, \text{m/s} = 50 \, \text{W}

This indicates that 50joules50 \, \text{joules} of work is being done every second.

It is crucial to ensure that the direction of the force aligns with the direction of the velocity for the calculation to be accurate. If the force and the velocity point in different directions, only the component of the force that acts in the direction of the velocity should be utilized in the calculation.

In summary, to find the power delivered by a force, multiply the force by the object’s velocity. This formula is essential for understanding the interplay between force, velocity, and power in various physical scenarios.

Answered by: Dr. Daniel Thompson
A-Level Physics Tutor
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