Question

What is the average momentum of a 70.0-kg sprinter who runs the 100-m dash in 9.65 s?

a) 720 kg m/s
b) 750 kg m/s
c) 770 kg m/s
d) 800 kg m/s

Answer 1

The average momentum of the sprinter who runs the 100-m dash in 9.65 s is approximately 725 kg m/s.

Step-by-step explanation:

To calculate the average momentum of a sprinter, we can use the formula:

Momentum = mass × velocity

In this case, the mass of the sprinter is 70.0 kg and the distance covered in the 100-m dash is 100 m. To find the average velocity, we can divide the distance by the time taken. Using the given time of 9.65 s, the average velocity is calculated as 100 m / 9.65 s ≈ 10.36 m/s.

Now we can calculate the average momentum:

Momentum = 70.0 kg × 10.36 m/s ≈ 725 kg m/s

Therefore, the average momentum of the sprinter is approximately 725 kg m/s.