Question

A small, 0.100 kg cart is moving at 1.20 m/s on a frictionless track when it collides with a larger, 1.00 kg cart at rest. After the collision, the small cart recoils at 0.850 m/s. What is the speed of the large cart after the collision

Answer 1

`V_2=0.205m/s`

Step-by-step explanation:

From the question we are told that

Moving Mass
`m_1=0.1kg`

Velocity of cart
`u_1=1.20 m/s`

Stationary Mass
`m_2= 1.00 kg`

Recoil velocity
`V_1=0.850 m/s`

Generally the equation of momentum is mathematically given by

`m_1u_1+0=m_1v_1+m_2v_2`

`(0.1)(1.20)+0=(0.1)(-0.850)+(1)v_2`

`V_2=0.205m/s`

Therefore speed of the stationary mass after collision is
`V_2=0.205m/s`