Question

A basketball with mass of 0.8 kg is moving to the right with velocity 6 m/s and hits a volleyball with mass of 0.6 kg that stays at rest. If the volleyball moves to the right with velocity 4 m/s after collision, what’s the final velocity of the basketball?

Answer 1

26.67 m/s

Step-by-step explanation:

From the law of conservation of linear momentum, the initial sum of momentum equals the final sum.

p=mv where p is momentum, m is the mass of object and v is the speed of the object

Initial momentum

The initial momentum will be that of basketball and volleyball, Since basketball is initially at rest, its initial velocity is zero

`p_i= m_bv_b+m_vv_v=8*6+0.6*0=48 Kg.m/s`

Final momentum

`p_f= m_bv_b+m_vv_v=8*4+0.6*v_v=32+0.6v Kg.m/s\\32+0.6v_v=48\\0.6v=16\\v_v=16/0.6=26.66666667\approx 26.67 m/s`