Mike kicks soccer ball at a speed of 2.5m/s his friend Jake kicks it back at a speed of 5.5 m/s (Mass of ball is 0.5kg) a.What was the change in momentum? b. If the ball was in contact with Jakes foot for 0.07 seconds, what force did Jake apply?
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Expert's answer
2021-05-04T06:34:07-0400
The information given is
The initial velocity is Vi=+2.5m/s
The final velocity Vf=−5.5m/s city is
The mass is m=0.5kg
The interaction time is t=0.07s
Part A
The change in momentum is given by
ΔP=Vfm−Vim
Where.
Vi is the initial velocity
Vf is the final velocity.
m is the mass.
Evaluating numerically.
ΔP=Vfm−Vim
ΔP=−5.5m/sf×0.5Kg−2.5m/sf×0.5Kgm
ΔP=−4.0Kgm/s
Answer A
The change in momentum is ΔP=−4.0Kgm/s
Part B
The average force is
Favg=tΔP
Where.
ΔP is the change of momentum.
t is the interaction time.
Evaluating numerically.
Favg=tΔPFavg=0.07s−4.0Kgm/sFavg=−57N
Answer B
The average force is Favg=−57N
The negative sign indicates that the force and the change in momentum (impulse) points in the opposite direction to the initial movement, that is, when it goes back towards Mike
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