- #1

joseph_kijewski

- 12

- 0

## Homework Statement

A person jumps from the roof of a house 3.9-m high. When he strikes the ground below, he bends his knees so that his torso decelerates over an approximate distance of .70m. If the mass of his torso (excluding legs) is 42 kg, find a. his velocity just before his feet strike the ground, and b. the average force exerted on his torso by his legs during deceleration

## Homework Equations

## The Attempt at a Solution

Had no trouble with a, got 8.7m/s as maximum velocity, however I seem to be wrong on b. Here is my work

1/2at^2=0.70

a=1.40/(t^2)

a*t=8.7

(1.40/t^2)*t=8.7

(1.40/t)=8.7

8.7t=1.40

t=1.61

8.7/.161=5.40 m/s^2

42*54.0=m/s^2 upward acceleration

42*54.0=2268 N

My problem here is that everyone on the internet says that the force exerted on his torso by his legs IS 2268, but I feel like that should be only the net force, because gravity is still in play and the ground must have a higher force to counteract that. Why would the answer not be 2268+9.8*42=2679.6--->2700N (sig fig)??