Answer:
0.0015
Explanation:
Given parameters:
Mass of man = 90.5kg
Mass of stone = 45g
Speed of stone = 3.05m/s
Unknown:
Velocity of man = ?
Solution:
What relates the man to the stone is the momentum. The momentum lost by man in kicking the stone is gained by the moving stone. This way momentum is conserved.
Momentum = mass x velocity
Momentum lost by man = momentum gained by stone
M₁V₁ = M₂V₂
1 denotes man
2 denotes stone
since V₁ is unknown, we make it the subject in the expression.
convert mass to kg;
45g = 0.045kg
V₁ = [tex]\frac{M_{2} V_{2} }{_{M1} }[/tex] = [tex]\frac{0.045 x 3.05}{90.5}[/tex]
V₁ = 0.0015m/s
