A player kicks a football of mass 0.5, kg and football begins to move with a velocity of 10 m/s. If

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4-1.Newton's Laws of Motion

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A player kicks a football of mass $0.5\, kg$ and the football begins to move with a velocity of 10 m/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 ........... $N$

A

$2500$

B

$1250$

C

$250$

D

$625$

Solution

(c) Force on the football $F = m\frac{{dv}}{{dt}}$

$F = \frac{{m\,({v_2} – {v_1})}}{{dt}}$$ = \frac{{0.5 \times (10 – 0)}}{{1/50}}$$ = 250N$.

Standard 11

Physics

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