96.0k views
2 votes
A 100-kg running back runs at 5 m/s into a stationary linebacker. It takes 0.5 s for the running back to be completely stopped. Find the magnitude of force exerted on the running back during the collision.

2 Answers

4 votes
The answer is 1600N by adding all the numbers up.

Hope this helps.
User Michal Franc
by
8.0k points
5 votes

Answer:

1000 N

Step-by-step explanation:

First, we need to find the deceleration of the running back, which is given by:


a=(v-u)/(t)

where

v = 0 is his final velocity

u = 5 m/s is his initial velocity

t = 0.5 s is the time taken

Substituting, we have


a=(0-5 m/s)/(0.5 s)=-10 m/s^2

And now we can calculate the force exerted on the running back, by using Newton's second law:


F=ma=(100 kg)(-10 m/s^2)=-1000 N

so, the magnitude of the force is 1000 N.

User Mediafreakch
by
7.5k points