Question

A 10 kg cart with a momentum of 10 kg• m/s hits a 20 kg cart at rest. Momentum is calculated by using
the formula p = mv, where m is the mass of an object and vis the velocity of an object.​

Answer 1

Change in momentum formula

The change in momentum resulting from an external force is called the impulse (I=mv-mvo) and is related to the force applied through the Impulse-Momentum Theorem: I = F tc = mv - mvo . Here F is the external force applied and tc is the amount of time the force is in contact with the object.

Answer 2

The final velocity ( Vf ) of the cart at rest is : 0.5 m/s

Determine the final velocity of cart at rest

Change in momentum of the objects  = m₁ * ΔV = m₂ * ΔV --- ( 1 )

Given that momentum ( p ) = m * v

where ; m₁ = 10 kg , p = 10 kg.m/s , v = ?

calculate for v

v = p/m = 10 kg.m/s / 10 kg

            = 1 m/s

Back to equation ( 1 )

= 10 * ( 1 m/s ) =  20 * ( Vf - )

= 10 = -20 Vf  

therefore Vf ( final velocity of cart at rest ) = 10 / 20

                                                                      = 0.5 m/s

Hence we can conclude that The final velocity ( Vf ) of the cart at rest is : 0.5 m/s

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