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

Step-by-step 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* 0+m_t* u_t=(m+m_t)v`

`0+100* 4.1=(100+m)\cdot 2.2`

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

`100+m=186.36`

`m=86.36 kg`