Question

A player kicks a football of mass $0.5$kg and the football begins to move with a velocity of $10m/s$. If the contact between the leg and the football lasts for $\frac{1}{50}$ sec, then the force acted on the football should be

• A. $2500N$
• B. $1250N$
• C. $250N$
• D. $625N$

Answer 1

The correct option is C $250N$

Momentum transferred to the ball is $\Delta P=m\Delta v=0.5kg\times (10-0)=5Kgm/s$

so the force will be $F=\frac{\Delta p}{\Delta t}=\frac{5}{1/50}=250Kgm/s^2=250N$