A football player kicks a 0.5 kg ball and imparts it a velocity of 10 m/s. The contact between foot and ball is only for 1/50th of a second. The kicking force is?

250 N

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125 N

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0 N

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3.78 N

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Solution

The correct option is A 250 N
The ball was originally at rest.
∴ Change in linear momentum $= 0.5 \times 10 k g m / s$
= 5 kg m/s
Impulse = Change in linear momentum
$F \times t = 5$
$\Rightarrow F \times \frac{1}{50} = 5$
$\Rightarrow F = 5 \times 50 = 250 N$

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A football player kicks a 0.5 kg ball and imparts it a velocity of 10 m/s. The contact between foot and ball is only for 1/50th of a second. The kicking force is?

The correct option is A 250 NThe ball was originally at rest. ∴ Change in linear momentum =0.5×10kgm/s = 5 kg m/s Impulse = Change in linear momentum F×t=5 ⇒F×150=5 ⇒F=5×50=250N

The correct option is A 250 N
The ball was originally at rest.
∴ Change in linear momentum $= 0.5 \times 10 k g m / s$
= 5 kg m/s
Impulse = Change in linear momentum
$F \times t = 5$
$\Rightarrow F \times \frac{1}{50} = 5$
$\Rightarrow F = 5 \times 50 = 250 N$