Find the sprinter's linear momentum (in kg · m/s). (Enter the magnitude.)

Question

A sprinter with a mass of 83 kg reaches a speed of 9 m/s during a race. Find the sprinter's linear momentum (in kg · m/s). (Enter the magnitude.)

Answer 1

Formula for momentum: p = mv, where m = mass (in kg) and v = velocity (in m/s).

This is from the derivative of force: F = d/dt(mv) = m*[dv/dt] = ma

m = 83 kg

v = 9 m/s

p = (83)(9) = 747 kg*m/s

The sprinter's linear momentum is 747 kg*m/s.