Question

Suppose that you, with a mass of 48kg, is standing on frictionless roller skates when someone throws you a 2.50kg mass with a velocity of 15m/s and you catch it. What will be your resultant velocity?

Answer 1

v = 0.74 m / s

Step-by-step explanation:

We can solve this exercise using the conservation of the moment

initial instant. Before the crash

p₀ = m v

where m is 2.50 kg and its velocity v₀ = 15 m / s

final moment. After catching the dough

`p_(f)` = (m + M) v

As the system is made up of the mass and the person, all the forces during the impact are internal, therefore the moment is conserved

p₀ = p_{f}

m v₀ = (m + M) v

v = m / (m + M) v₀

we calculate

v = 2.5 / (2.5 + 48) 15

v = 0.74 m / s