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 4.1 m/s, grabs and holds onto him so that they move off together with a velocity of 2.2 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:m=86.36 kg

Explanation:

Given

mass of tackler $m_T=100 kg$

initial velocity of Tackler $u_t=4.1 m/s$

Final velocity of combined system $v=2.2 m/s$

Let m be the mass of receiver

conserving momentum

$m\times 0+m_t\times u_t=(m+m_t)v$

$0+100\times 4.1=(100+m)\cdot 2.2$

$410=(100+m)\cdot 2.2$

$100+m=186.36$

$m=86.36 kg$