Question

A person is standing on and facing the front of a stationary skateboard while holding a construction brick. The mass of the person is 67.0 kg, the mass of the skateboard is 4.10 kg, and the mass of the brick is 2.50 kg. If the person throws the brick forward (in the direction they are facing) with a speed of 23.0 m/s relative to the skateboard and we ignore friction, determine the recoil speed of the person and the skateboard, relative to the ground.

Answer 1

v₁ = -0.8087 m / s

Step-by-step explanation:

To solve this problem we can use the conservation of momentum, for this we define a system formed by the man, the skateboard and the brick, therefore the force during the separation is internal and the momentum is conserved

Initial instant. When they are united

p₀ = 0

Final moment. After throwing the brick

`p_(f)` = (m_man + m_skate) v1 + m_brick v2

the moment is preserved

p₀ = p_{f}

0 = (m_man + m_skate) v₁ + m_brick v₂

v₁ = -
`( m_(brick) )/(m_(man) + m_(skate) ) v_(2)`

the negative sign indicates that the two speeds are in the opposite direction

let's calculate

v₁ = -
`(2.5)/(67 + 4.10) 23.0`

v₁ = -0.8087 m / s