If a lift is going up with acceleration, the apparent weight of a body is:

The correct answer is More than the true weight.

Key Points

• When a lift is accelerating upwards, the apparent weight of a body increases due to the additional force exerted by the acceleration of the lift.
• The apparent weight is the force experienced by the body due to the normal force exerted by the floor of the lift.
• The apparent weight is the sum of the true weight and the force due to the lift’s acceleration: Apparent Weight = True Weight + (Mass × Acceleration).
• As a result, when the lift accelerates upwards, the body feels heavier, and the apparent weight becomes greater than the true weight.

Additional Information

• True Weight is the gravitational force acting on the body, calculated as W = mg, where m is the mass of the body and g is the acceleration due to gravity.
• Apparent Weight is the normal force exerted by the floor of the lift, and it can vary depending on the lift's motion (upward or downward acceleration).
• When the lift is at rest or moving with constant velocity, the apparent weight is equal to the true weight.
• When the lift accelerates downward, the apparent weight decreases as the normal force exerted by the floor becomes less than the true weight.
• This concept is derived from Newton’s Second Law of Motion, which states that the force is the product of mass and acceleration.
• The change in apparent weight is a common demonstration of the effects of acceleration on a body in a non-inertial frame of reference, like a lift.