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Assertion:- A man standing at rest on gr...

Assertion:- A man standing at rest on ground. Magnitude of force exerted by man on ground is equal to weight of man.
Reason:- Earth attracts man by force mg hence by Newton's third law man also attracts earth by same force.

A

If both Assertion `&` Reason are True `&` the Reason is a correct explanation of the Assertion.

B

If both Assertion `&` Reason are True but Reason is not a correct explanation of the Assertion.

C

If Assertion is True but the Reason is False.

D

If both Assertion `&` Reason are False.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason given in the problem. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that a man standing at rest on the ground exerts a force on the ground that is equal to his weight. - Weight (W) is defined as the force due to gravity acting on an object, which can be calculated using the formula: \[ W = mg \] where \( m \) is the mass of the man and \( g \) is the acceleration due to gravity. 2. **Analyzing the Situation**: - When the man is standing still (at rest), he is not accelerating. According to Newton's first law, the net force acting on him must be zero. - The forces acting on the man are: - The downward gravitational force (his weight) \( mg \). - The upward normal force (the force exerted by the ground on the man), which we can denote as \( N \). 3. **Applying Newton's Second Law**: - Since the man is at rest, the sum of the forces acting on him must equal zero: \[ N - mg = 0 \] - From this equation, we can conclude that: \[ N = mg \] - This means the normal force \( N \) exerted by the ground on the man is equal to his weight \( mg \). 4. **Understanding the Reason**: - The reason states that the Earth attracts the man with a force \( mg \) (his weight), and by Newton's third law, the man also attracts the Earth with the same force. - Newton's third law states that for every action, there is an equal and opposite reaction. Therefore, if the Earth exerts a force \( mg \) on the man, the man exerts a force \( mg \) on the Earth. 5. **Conclusion**: - Both the assertion and the reason are true. - The assertion correctly describes the relationship between the force exerted by the man and his weight. - The reason correctly explains this relationship using Newton's third law. ### Final Answer: Both the assertion and the reason are true, and the reason is the correct explanation for the assertion. Therefore, the correct option is **A**. ---
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