A sprinter can run 100 m in 10 s, accelerating the entire time. Calculate the average powerrequired for this if the sprinter has a mass of 75 kg.

Sure, here's how to calculate the average power required:

Step 1: Calculate the final velocity (v) using the formula for acceleration: v = u + at. Since the sprinter starts from rest, u = 0. The distance (s) is 100m and the time (t) is 10s. We can rearrange the formula to find acceleration (a): a = 2s/t^2. Substituting the given values, we get a = 2100/10^2 = 2 m/s^2. Then, we find v = at = 210 = 20 m/s.

Step 2: Calculate the kinetic energy (KE) using the formula KE = 1/2 mv^2. Substituting the given values, we get KE = 1/2 * 75 * (20)^2 = 15000 J.

Step 3: Calculate the average power (P) using the formula P = work/time = KE/t. Substituting the given values, we get P = 15000/10 = 1500 W.

So, the average power required for the sprinter to run 100m in 10s is 1500 W.