A boy of mass 45 kg, runs with a velocity of 5 m/s and jumps onto a skateboard and cruises at a velocity of 4.5 m/s on a level road. Find the mass of the skateboard. Assume that no other force is acting in the horizontal direction.
Answers
by using conservation of momentum of initial and final
Given info : A boy of mass 45 kg, runs with a velocity of 5 m/s and jumps onto a skateboard and cruises at a velocity of 4.5 m/s on a level road.
To find : the mass of the skateboard is ...
solution : mass of boy, m₁ = 45 kg
velocity of boy, v₁ = 5 m/s
velocity of system of boy and skateboard, v₂ = 4.5 m/s
now using law of conservation of linear momentum,
initial linear momentum = final linear momentum
⇒ m₁v₁ = (m₁ + m₂)v₂
⇒ 45 kg × 5 m/s = (45 kg + m₂)4.5 m/s
⇒ 50 kg = 45 kg + m₂
⇒ m₂ = 5 kg
therefore the mass of the skateboard is 5 kg.
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