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1 N force is exerted on the palm of a ch...

1 N force is exerted on the palm of a child and the same force is also exerted on the palm of a man. Who of the following will feel more pressure ?

A

Man

B

Child

C

Both the man and the child

D

None of the above

Text Solution

AI Generated Solution

The correct Answer is:
To determine who will feel more pressure when the same force is exerted on the palm of a child and a man, we need to understand the concept of pressure. ### Step-by-Step Solution: 1. **Understand the Definition of Pressure**: - Pressure is defined as the force applied per unit area. The formula for pressure (P) is: \[ P = \frac{F}{A} \] where \( F \) is the force applied, and \( A \) is the area over which the force is distributed. 2. **Identify the Given Information**: - The force exerted on both the child and the man is the same: \( F = 1 \, \text{N} \). - The area of the child's palm is smaller than that of the man's palm. 3. **Compare the Areas**: - Let’s denote the area of the child's palm as \( A_1 \) and the area of the man's palm as \( A_2 \). - Since the child's hand is smaller, we have: \[ A_1 < A_2 \] 4. **Calculate the Pressure for Both**: - For the child, the pressure \( P_1 \) is: \[ P_1 = \frac{F}{A_1} = \frac{1 \, \text{N}}{A_1} \] - For the man, the pressure \( P_2 \) is: \[ P_2 = \frac{F}{A_2} = \frac{1 \, \text{N}}{A_2} \] 5. **Analyze the Relationship**: - Since \( A_1 < A_2 \), it follows that: \[ P_1 > P_2 \] - This means the pressure felt by the child is greater than the pressure felt by the man. 6. **Conclusion**: - Therefore, the child will feel more pressure than the man when the same force is applied. ### Final Answer: The child will feel more pressure because the area of the child's palm is smaller compared to that of the man.
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