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What happens to power if the force applied to an object increases, assuming velocity remains constant?

The power increases proportionally, as indicated by the formula $P = \vec{F} \cdot \vec{v}$ .

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What happens to power if the force applied to an object increases, assuming velocity remains constant?

The power increases proportionally, as indicated by the formula $P = \vec{F} \cdot \vec{v}$ .

What happens to power if the time taken to do a certain amount of work decreases?

The power increases, because power is inversely proportional to time ( $P = \frac{dW}{dt}$ ).

What happens to the power if the angle between force and velocity is 90 degrees?

The power is zero, because the dot product of force and velocity is zero when they are perpendicular.

What are the differences between Average Power and Instantaneous Power?

Average Power: Rate of energy transfer over a time interval. | Instantaneous Power: Rate of energy transfer at a specific moment.

Compare calculating power using energy vs. work.

Energy: $P = \frac{\Delta E}{\Delta t}$ , focuses on the change in energy. | Work: $P = \frac{W}{\Delta t}$ , focuses on the work done during energy transfer.

What is the definition of Power?

The rate at which work is done or energy is transferred. It is a scalar quantity.

What are the units for Power?

Watts (W) or Joules per second (J/s)

Define instantaneous power.

The rate at which work is being done at a specific moment in time.