Question

During a football game, a receiver has just caught a pass and is standing still. Before he can move, a tackler, running at a velocity of 4.8 m/s, grabs and holds onto him so that they move off together with a velocity of 2.5 m/s. If the mass of the tackler is 100 kg, determine the mass of the receiver in kilograms. Assume momentum is conserved.

Answer 1

Mass of receiver is 92 kg

Step-by-step explanation:

We have given mass of tackler
`m_1=100kg`

Let the mass of receiver is
`m_2kg`

When tackler moving alone velocity is
`v_i=4.8` m/sec

And when tackler and receiver is together velocity is
`v_f` = 2.5 m/sec

So from conservation of momentum

`m_1v_i=(m_1+m_2)v_f`

`100* 4.8=(100+m_2)* 2.5`

`2.5m_2+250=480`

`2.5m_2=230`

`m_2=92kg`

So mass of receiver is 92 kg