A student, late for class, ran up some stairs

between landings, which are 11.3 m apart.
The student’s mass is 62 kg and it took 6.02 s
to do the run.
What is the average power that the student
generated during the run?

To find the average power generated by the student during the run, we can use the formula:

Power = Work / Time

First, let's calculate the work done by the student. Work is defined as the product of force and displacement. In this case, we need to find the force exerted by the student and the distance traveled.

The force exerted by the student can be calculated using Newton's second law:

Force = Mass x Acceleration

Acceleration, in this case, can be found using the formula:

Acceleration = (Change in velocity) / Time

Since the student is running up the stairs, we can assume that the change in velocity is the final velocity at the top of the stairs (when the student reaches the landing) minus the initial velocity at the bottom of the stairs.

The initial velocity can be calculated using the formula:

Initial Velocity = 0 m/s (since the student starts from rest)

The final velocity can be found using the formula:

Final Velocity = (Displacement) / (Time taken)

Once we have the initial and final velocities, we can calculate the acceleration using the formula above.

Now that we have the force exerted by the student, we can calculate the work done by multiplying the force by the displacement (the distance between the landings, which is given as 11.3 m).

Finally, to find the average power, we divide the work done by the time taken.

Let's calculate the solution step by step:

Step 1: Calculate acceleration
- Calculate the final velocity:
Final Velocity = (11.3 m) / (6.02 s)
- Calculate the change in velocity:
Change in Velocity = Final Velocity - Initial Velocity
- Calculate the acceleration:
Acceleration = Change in Velocity / Time

Step 2: Calculate force
- Calculate the force:
Force = Mass x Acceleration

Step 3: Calculate work
- Calculate the work:
Work = Force x Displacement

Step 4: Calculate power
- Calculate the average power:
Power = Work / Time

Now, by plugging in the given values into these formulas and performing the calculations, we can find the average power generated by the student during the run.