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

Answer:

Mass of receiver is 92 kg        

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

$m_1v_i=(m_1+m_2)v_f$

$100\times 4.8=(100+m_2)\times 2.5$

$2.5m_2+250=480$

$2.5m_2=230$

$m_2=92kg$

So mass of receiver is 92 kg