Q.A man squatting on the ground gets straight up and stand. The force of reaction of ground on the man during the process is
The ground reaction force must first exceed to accelerate the man upward from rest, then return to once he moves at constant speed (or stops). The correct option is (D).
The key is to think about Newton’s second law — not just the third law. When the man squats and then stands up, his centre of mass does not move at constant velocity. It starts at rest, accelerates upward, then decelerates to rest again at the top. The ground reaction force is the upward normal force from the floor. The man’s weight acts downward. The net force on the man is , and this equals , where is the acceleration of his centre of mass.
If the man simply stood still, . But during the act of standing, his centre of mass must gain upward speed, so there must be a period of upward acceleration. That requires . Later, as he approaches the upright position, he must slow down (decelerate upward), which means briefly. However, the question’s options only mention “greater than ” and “equal to ”, so the simplest correct description is that is first greater than , then becomes equal to once he is stationary.
Let’s walk through the phases.
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Initial state (squatting, at rest)
The man is stationary on the ground. His centre of mass has zero velocity. The net force is zero, so . But this is only the starting point — the process hasn’t begun yet.
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Beginning to stand — upward acceleration
To start moving upward, the man must push harder against the ground. By Newton’s third law, the ground pushes back with an equal and opposite force. So becomes greater than . The net upward force provides the upward acceleration .
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Middle of the motion — possible constant speed
If the man rises at constant speed for a while, then and during that interval. But in a natural squat-to-stand movement, the acceleration phase is short and followed by deceleration. The question’s options don’t mention a period where , so the simplest match is that after the initial acceleration, returns to as the man becomes stationary.
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Nearing the top — deceleration
To stop at the upright position, the man must have a downward acceleration (i.e., upward deceleration). That would require . However, the options given do not include “less than ” at any stage. So the intended answer focuses on the fact that is first greater than (to start the motion) and later equal to (when at rest or moving at constant speed).
A common mistake is to think that because the man is “pushing” on the ground, the reaction is always greater than . But once he is moving at constant speed or is stationary, the net force is zero, so . The extra force is only needed to change his speed.
Think of standing up as a controlled upward throw of your own body. To throw something upward, you must exert a force greater than its weight initially. Once it’s moving, you can ease off.
Thus, the reaction force is not constant — it varies — and it is greater than only during the upward acceleration phase, then equal to when the man is at rest (or moving uniformly).
The correct option is (D): at first greater than , and later becomes equal to .
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