a person pushes a box across a horizontal surface at a constant speed of .5 meter per second. the box has a mass of 40 kg and the coefficient of sliding friction is .25. The power supplied to the boxx by the person is...

please Explain!!

Hi

In this question we have to take friction as your force applied.
F = friction = µ*m*g = 0.25 * 40 * 10 = 100
V = 0.5 m/s
Power = F * V = 100 * 0.5 = 50 W

Since the box is pulled at a constant speed, the force applied is equal to the force of friction.

F = F(friction) = µ*m*g
Power generated = P = Fv

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Your answer should be in watts in the range of 20 to 90 watts. You should be familiar with the symbols I used and the appropriate units for each.

To find the power supplied by the person, we need to understand the definition and formula of power. Power is the rate at which work is done or energy is transferred. The formula for power is:

Power = Work / Time

Now, let's break down the problem step by step.

Step 1: Calculate the force of sliding friction acting on the box.
The force of sliding friction can be calculated using the equation:

Force of sliding friction = Coefficient of sliding friction * Normal force

The normal force is the force exerted by the surface perpendicular to the box. When the box is on a horizontal surface, the normal force is equal to the weight of the box.

Normal force = Mass * Acceleration due to gravity
= Mass * 9.8 m/s^2

Applying the given values:
Normal force = 40 kg * 9.8 m/s^2

Step 2: Calculate the work done by the force of sliding friction.
The work done by the force of sliding friction is given by:

Work = Force * Distance

Given that the box is pushed at a constant speed of 0.5 m/s, we know that the distance covered is given by:

Distance = Speed * Time

Substituting the values:
Distance = 0.5 m/s * Time

The time is not provided in this problem. Therefore, we need to make a reasonable assumption or obtain it from additional information.

Step 3: Calculate the power supplied by the person.
Finally, we can use the formula for power:

Power = Work / Time

We already calculated the work done by the force of sliding friction, and we need to divide it by the time.

Let's assume a time of 1 second for this calculation. The time can vary depending on the specific situation or given information.

Now, we have all the necessary information to find the power supplied by the person.

is the answer 5K ?