# You stand on a skateboard at rest and throw a rock at 5 m/sec. You move back at 0.5 m/ sec. What is the combined mass of you and the skateboard?

##### 1 Answer

Jan 15, 2016

#### Answer:

10 times the mass of the rock

#### Explanation:

From conservation of momentum,

Your change in momentum + the Rock's change in momentum = 0

(Your mass)(Your change in velocity) + (Rock's mass)(Rock's change in velocity) = 0

(Your mass)(-0.5m/s) + (Rock's mass)(5m/s) = 0

Your mass = 10 (Rock's mass)