Question

Consider that a batsman in the first over first ball applied a force of 100N for 1s. How much change in speed he could make? Write proper steps (Search the internet for the mass of the cricket ball)

Answer 1

Given info : Consider that a batsman in the first over first ball applied a force of 100N for 1s.

To find : change in speed of ball he could make.

Solution : as you mentioned, we have to search the internet for the mass of cricket. I did and I get, it is approximately 163g.

let's solve it,

Applying very important formula,

Impulse = change in linear momentum = force × time

⇒m∆v = 100 N × 1s

[ Here m is mass of ball and ∆v is change in speed of ball. ]

⇒163g × ∆v = 100 Ns

⇒163 × 10¯³ kg ∆v = 100 Ns

⇒∆v = 100 × 1000/163 m/s

= 613.5 m/s

Therefore the change in speed of ball he could make is 613.5 m/s

Answer 2

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We have been given that :-

• Force applied by batsman = 100N
• Time for applied = 1s.
• From general info - Mass of cricket ball = 163g
• Change in speed of ball = ∆v = ?

Now, we know that force applied by batsman can be called Impulse Force :

We know Impulse = Force × time

On basis of this we can also say that :-

Impulse =Force × Time = Change in momentum

m∆v = 100 × 1

m∆v = 100Ns

Now after inputting the value for mass of ball we get :-

163g∆v = 100Ns

$\frac{1000}{163} kg \times ∆v = 100ns$

$16 \times {10}^{ - 3} v = 100$

$\mapsto \: ∆v = \frac{100 \times 1000}{163}$

$\mapsto \: ∆v = 613 .5 \frac{m}{s}$

Therefore the change in velocity of ball will be 613.5m/s.

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BY SCIVIBHANSHU

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