# Impulse and momentum for an athlete jumper

1. Apr 26, 2013

### Sam Fred

1. The problem statement, all variables and given/known data
Assume that the athlete approaches the take-off line from the left with a horizontal
velocity of 10m/s, remains in contact with the ground for 0.1s, and take off at a 60°angle
with a velocity for 10m/s, determine (1) the vertical component of the average impulsive
force exerted by the ground on his foot. (2) the horizontal frictional force. The mass of
the athlete is 100kg and the coefficient of kinetic friction (μk) is 0.1.

2. Relevant equations

momentum 1 + ƩF Δt = momentum 2
Friction force = Normal force X μk

3. The attempt at a solution
1)In the vertical Direction
0+(Ry-Weight) Δt = mvsin60
Ry = 9660 N

2)
Friction Force = Ry X μk = 966 N (I think this is wrong)

2. Apr 26, 2013

### Staff: Mentor

Good.

Use the same method as you used for part 1. (Is the coefficient of kinetic friction relevant?)

3. Apr 26, 2013

### Sam Fred

So :
m1v1 - Friction Force X Δt = m1v2 cos60
Friction Force = 5000 N ??

4. Apr 26, 2013

### Staff: Mentor

That's right.