Question:
A tennis player returns a ball by hitting it with a racket. If the force exerted by the racket on the ball is increased, then the impulse imparted to the ball:
A tennis player returns a ball by hitting it with a racket. If the force exerted by the racket on the ball is increased, then the impulse imparted to the ball:
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Impulse \( J = F \cdot \Delta t \). If contact time stays the same, increasing force leads to more impulse and more change in momentum.
Updated On: May 27, 2025
- Decreases
- Remains constant
- Increases
- Becomes zero
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The Correct Option is C
Solution and Explanation
Step 1: Recall the formula for impulse.
Impulse \( J \) is given by: \[ J = F \cdot \Delta t \] Where:
\( F \) is the average force applied
\( \Delta t \) is the time duration of the force
Step 2: Analyze the effect of increasing force.
If the force \( F \) increases and the time of contact \( \Delta t \) remains the same, then: \[ J \text{ increases proportionally} \]
Step 3: Conclude the result.
Since impulse is directly proportional to force (for constant time), \[ \text{Impulse increases} \]
Impulse \( J \) is given by: \[ J = F \cdot \Delta t \] Where:
\( F \) is the average force applied
\( \Delta t \) is the time duration of the force
Step 2: Analyze the effect of increasing force.
If the force \( F \) increases and the time of contact \( \Delta t \) remains the same, then: \[ J \text{ increases proportionally} \]
Step 3: Conclude the result.
Since impulse is directly proportional to force (for constant time), \[ \text{Impulse increases} \]
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