How to find the apparent weight of the man in the lift moving up with uniform acceleration
Understanding the Concept:
- When a lift is moving up with uniform acceleration, the apparent weight of a person inside the lift changes.
- The apparent weight is the force exerted by the person's body on the weighing scale inside the lift.

Steps to find the apparent weight:
1. Identify the variables:
- Mass of the man (m)
- Acceleration of the lift (a)
- Gravitational acceleration (g = 9.8 m/s^2)
2. Calculate the normal force:
- When the lift is moving up, the normal force exerted by the lift on the person is given by N = m(g + a).
3. Calculate the apparent weight:
- The apparent weight of the person is the force exerted by the person's body on the weighing scale, which is equal to the normal force.
- Therefore, the apparent weight (W') = N = m(g + a).
4. Example:
- Let's say the mass of the man is 70 kg, the acceleration of the lift is 2 m/s^2, and g = 9.8 m/s^2.
- Substitute the values in the formula: W' = 70(9.8 + 2) = 70(11.8) = 826 N.
- Therefore, the apparent weight of the man in the lift moving up with uniform acceleration is 826 N.
By following these steps and understanding the concept, you can easily find the apparent weight of a person in a lift moving up with uniform acceleration.