The relation between force and acceleration of a body is given by-

Correct option is B

(b) Newton's second law of motion

Sol. The relation between force and acceleration is expressed in Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). This law establishes a direct relationship between the net force applied to an object, its mass, and the acceleration produced.

Information Booster:

• Newton's first law states that an object at rest stays at rest, and an object in motion stays in motion unless acted upon by a net external force.
• Newton's third law states that for every action, there is an equal and opposite reaction.
• Acceleration is the rate of change of velocity with time.
• The unit of force is the Newton (N), defined as kg·m/s².
• The second law is fundamental in dynamics and plays a crucial role in understanding motion and forces in physics.
• Applications include calculating forces in engineering, vehicle dynamics, and various fields of physics.

Additional Information:

• (a) Newton's first law → Incorrect, as it deals with inertia, not force and acceleration.
• (c) Newton's third law → Incorrect, as it addresses action-reaction pairs, not the relationship between force and acceleration.
• (d) Newton's fourth law → Incorrect, as there is no recognized fourth law of motion.