A cricket ball of mass 0.20 kg is moving with a velocity of 1.2 m/s. Find the average force applied by the player if he is able to stop the ball in 0.10 s?
Answers
Answer:
Required average force applied is 1.2 N.
Explanation:
Given:
- Mass (m) = 0.20 kg
- Initial velocity (u) = 1.2 m/s
- Final velocity (v) = 0
- Time (t) = 0.10 s
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To find:
Average force applied.
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Solution:
We know that,
Acceleration = (v – u)/t
= (0 – 1.2)/0.10
= –12 m/s²
Now as we know that,
Force = mass × acceleration
F = m × a
F = ma
Now substitute the values, we get
F = 0.2 × –12 = –2.4 N
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∴ Required force = –2.4 N
Given:-
- A cricket ball of mass 0.20 kg is moving with a velocity of 1.2 m/s.
- He able to stop the ball in 0.10 s
To find:
- Find the average force applied by the player.
Solution:
In order to find the force we need to know acceleration first,
So, as we know
Acceleration = (v – u)/t
where,
⇒ Initial velocity = " u "= 1.2 m/s
⇒ Final velocity = " v " = 0
⇒ Time = " t " = 0.10 s
Now, let's substitute the values
= (0 – 1.2)/0.10
= –12 m/s²
Now we got acceleration
So,
⇒ F = m × a
Here,
- Force = " f "
- mass = " m "
- acceleration = " a "
Now,
⇒ F = 0.2 × –12
⇒ F = ( –2.4 N)
Therefore,
The average force applied by the player is (–2.4 N)