I run toward the wall at 5.00 m/sec to the left.My mass is 90.0 kg.I collide with the wall and come to rest in 0.100 sec.What was the average normal force on my body due to the wall?
A)4.50 N
B)45.0 N
C)450 N
D)4500 N

Question

Quizplus · Accepted Answer

The average normal force can be calculated using the change in momentum over time, which is essentially the mass times the change in velocity divided by the time interval. The initial velocity is 5.00 m/s to the left (we can consider this as -5.00 m/s for calculation purposes), and the final velocity is 0 m/s (since the person comes to rest). The change in velocity is therefore 5.00 m/s. Using the formula for force, $ F = \frac{m \Delta v}{\Delta t} $, where $ m = 90.0 \, \text{kg} $, $ \Delta v = 5.00 \, \text{m/s} $, and $ \Delta t = 0.100 \, \text{s} $, we get $ F = \frac{90.0 \times 5.00}{0.100} = 4500 \, \text{N} $.

I Run Toward the Wall at 5