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If a cricketer catches a ball of mass 150 gm moving with a velocity of 20 m/s, then he experiences a force of (Time taken to complete the catch is 0.1 sec.)[2001]
  • a)
    300 N
  • b)
    30 N
  • c)
    3 N
  • d)
    0.3 N
Correct answer is option 'B'. Can you explain this answer?
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If a cricketer catches a ball of mass 150 gm moving with a velocity of...
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If a cricketer catches a ball of mass 150 gm moving with a velocity of...
Given:
- Mass of the ball (m) = 150 gm = 0.15 kg
- Velocity of the ball (v) = 20 m/s
- Time taken to complete the catch (t) = 0.1 sec

To find:
The force experienced by the cricketer while catching the ball.

Solution:
The force experienced by an object can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to the rate of change of momentum.

Momentum (p) is defined as the product of mass and velocity of an object.
Momentum (p) = mass (m) × velocity (v)

Therefore, the momentum of the ball is given by:
Momentum (p) = 0.15 kg × 20 m/s
= 3 kg·m/s

The change in momentum (∆p) of the ball is equal to the momentum of the ball when caught, as the ball comes to rest in the cricketer's hand.

The time taken to complete the catch (t) is given as 0.1 sec.

The change in momentum (∆p) can be calculated using the formula:
∆p = Force (F) × time (t)

Rearranging the formula to find the force experienced by the cricketer:
Force (F) = ∆p / t

Substituting the given values:
Force (F) = 3 kg·m/s / 0.1 sec
= 30 kg·m/s²

The unit of force in the SI system is Newton (N). Therefore, the force experienced by the cricketer while catching the ball is 30 N.

Answer:
The cricketer experiences a force of 30 N. Therefore, the correct answer is option (b) 30 N.
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