Question

In an inelastic collision, a steel ball of mass 200 g was hit hard into a large ball of dough of mass 700 g. The velocity of the steel ball was 25 m/s. After the collision, the steel ball was stuck in the dough, and this combined system rolled for some time. What was the velocity of the system of the steel ball and dough after the collision?A) 5.6 m/sB) 7.5 m/sC) 8.8 m/sD) 11.1 m/s

Answer 1

Velocity after collision will be 5.56 m/sec

So option (a) will be correct answer

Step-by-step explanation:

Mass of steel ball
`m_1=200gram=0.2kg`

Speed of steel ball before collision
`v_1=25m/sec`

Mass of large ball
`m_2=700gram=0.7kg`

Velocity of large ball
`v_2=0m/sec`

According to conservation of momentum

`m_1v_1+m_2v_2=(m_1+m_2)v`

`0.2* 25+0.7* 0=(0.7+0.2)v`

`v=5.56m/sec`

So velocity after collision will be 5.56 m/sec

So option (a) will be correct answer