To find power when friction, mass, and velocity are given but time is not given, you need to use the formula for power:
Power = Force × Velocity
In this case, you can determine the force of friction using the equation:
Force of Friction = Friction Coefficient × Normal Force
The normal force is the force exerted by a surface to support the weight of an object resting on it. For an object on a horizontal surface, the normal force is equal to the object's weight, which is given by:
Normal Force = Mass × Acceleration due to Gravity
Once you have the force of friction, you can calculate power by multiplying it by the velocity:
Power = Force of Friction × Velocity
Here's the step-by-step process:
Calculate the normal force: Normal Force = Mass × Acceleration due to Gravity
Calculate the force of friction: Force of Friction = Friction Coefficient × Normal Force
Calculate power: Power = Force of Friction × Velocity
Make sure to use consistent units throughout the calculations. The resulting power will be in units of watts (W), which represent the rate of energy transfer or work done per unit time.