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Choose the INCORRECT statement (with res...

Choose the INCORRECT statement (with respect to the `2`nd law of motion)

A

Any internal force in the system are not included in net force while equation

B

Acceleration here and now is determined by the force here and now and not by any history of the motion of the particle.

C

In the second law, `F=0` implies `a=0`. The second law is obviously consistent with the first law

D

if a force is not parallel to the velocity of the body, but makes some angle with it, it changes only component of velocity along the direction perpendicular to direction of force.

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The correct Answer is:
To solve the question of identifying the incorrect statement with respect to the second law of motion, we will analyze each option step by step. ### Step 1: Understand the Second Law of Motion The second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be mathematically expressed as: \[ F = m \cdot a \] Where: - \( F \) is the net force, - \( m \) is the mass, - \( a \) is the acceleration. ### Step 2: Analyze Each Option **Option A:** "Any internal force in the system are not included in the net force." - **Analysis:** This statement is correct. Internal forces do not affect the net external force acting on a system, as they cancel each other out within the system. **Option B:** "Acceleration is determined by force and not by any history of motion." - **Analysis:** This statement is also correct. According to Newton's second law, the acceleration of an object at any moment is determined solely by the net force acting on it at that moment, and not by how it has moved in the past. **Option C:** "In the second law, if force is equal to zero, it implies that acceleration is equal to zero." - **Analysis:** This statement is correct as well. If the net force acting on an object is zero, then according to the second law, the acceleration must also be zero. This is consistent with Newton's first law of motion. **Option D:** "If a force is not parallel to the velocity of the body, but makes some angle with it, it only changes the component of velocity which is perpendicular to the direction of the force." - **Analysis:** This statement is incorrect. When a force is applied at an angle, it changes both the perpendicular and parallel components of the velocity. The component of velocity that is parallel to the force will change due to the force, while the perpendicular component will remain unchanged only if there is no force acting in that direction. ### Conclusion Based on the analysis of the options, the incorrect statement is: **Option D:** "If a force is not parallel to the velocity of the body, but makes some angle with it, it only changes the component of velocity which is perpendicular to the direction of the force."

To solve the question of identifying the incorrect statement with respect to the second law of motion, we will analyze each option step by step. ### Step 1: Understand the Second Law of Motion The second law of motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be mathematically expressed as: \[ F = m \cdot a \] Where: - \( F \) is the net force, - \( m \) is the mass, ...
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