James has a mass of 98 kg and Basma has a mass of 59 kg. James is running at 3.0 m/s, while Basma is running at 4.0 m/s.
a. Who has the most momentum? Show how you arrived at your answer.

b. Basma approaches a road, so she stops quickly. It takes her 2.6 seconds to stop. What is the resultant force acting on her?

c. James also stops for the road. If he were to have the same resultant force acting on him, how long would it take for him to stop?

Respuesta :

(a) James has the most momentum which is 294 kgm/s.

(b) The resultant force acting on Basma is 90.78 N.

(c) The time taken for James to stop is 3.2 seconds.

Momentum of each person

Momentum of James: P = mv = 98 x 3 = 294 kgm/s

Momentum of Basma: P = mv = 59 x 4 = 236 kgm/s

Resultant force of Basma

F = ma = mv/t = P/t = 236/2.6 = 90.78 N

Time for James to stop

F = P/t

t = P/F

t = 294/90.78

t = 3.2 s

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