If the acceleration of a body is halved and mass remains constant, the force will

Correct option is B

The correct answer is (b) Halve

Explanation:

• According to Newton's Second Law of Motion, the force acting on an object is equal to the product of its mass and acceleration.

• The formula is:
F = ma

• In this question, the mass (m) remains constant and the acceleration (a) is halved (a/2).

• Substituting the new acceleration into the formula:
Fnew = m × (a/2)
Fnew = (ma) / 2
Fnew = F / 2

• Therefore, the new force becomes half of the original force.

Information Booster:

• Force is directly proportional to acceleration when mass is constant (F ∝ a).

• The SI unit of force is Newton (N).

• 1 Newton = 1 kg m/s².

• Force is a vector quantity, meaning it has both magnitude and direction.

Additional Knowledge:

Remain the same (Option a)
• This would occur only if both mass and acceleration remained unchanged, or if mass doubled while acceleration halved.

Become zero (Option c)
• Force becomes zero only when acceleration becomes zero, meaning the object moves with constant velocity or remains at rest.

Double (Option d)
• Force would double only if acceleration doubled, while mass remained constant.

Therefore, the correct answer is (b) Halve.