Question

A 110-kg football player running at 8.00 m/s catches a 0.410-kg football that is traveling at 25.0 m/s. Assuming the football player catches the ball with his feet off the ground with both of them moving horizontally, calculate: the final velocity if the ball and player are going in the same directio

Answer 1

Answer:
`8.062\ m/s`

Step-by-step explanation:

Given

masss of football player
`M=110\ kg`

Velocity of football player
`u_1=8\ m/s`

mass of football
`m=0.41\ kg`

velocity of football
`u_2=25\ m/s`

Final velocity will be given by applying conservation of linear momentum

After catching the ball Player and ball moves with same velocity

`\Rightarrow Mu_1+mu_2=(M+m)v`

`\Rightarrow 110* 8+0.41* 25=(110+0.41)v`

`\Rightarrow 880+10.25=110.41* v`

`\Rightarrow v=(890.25)/(110.41)=8.063\ m/s`

So, final velocity will be
`8.062\ m/s`