Given:
- Mass of the person (m) = 60 kg
- Weight of the person in the lift (W) = 54 kg

Find:
- Acceleration of the lift (a)

Explanation:

To solve this problem, we need to consider the forces acting on the person in the lift.

Weight:
The weight of an object is the force exerted on it due to gravity. It can be calculated using the formula:
Weight (W) = mass (m) × acceleration due to gravity (g)

In this case, the weight of the person is given as 54 kg. Since the mass is given as 60 kg, we can calculate the acceleration due to gravity as follows:
54 kg = 60 kg × g
g = 54 kg / 60 kg
g ≈ 9.81 m/s²

Net Force:
The net force acting on the person in the lift can be calculated using Newton's second law of motion:
Net Force (F_net) = mass (m) × acceleration (a)

In this case, the net force is equal to the weight of the person minus the force exerted by the lift. Since the lift is accelerating downward, the force exerted by the lift will be in the upward direction.

Equation:
F_net = W - F_lift

Substituting the values:
F_net = 54 kg × 9.81 m/s² - F_lift

Since the weight of the person in the lift is given as 54 kg, the net force will be zero when the lift is at rest or moving at a constant velocity. Therefore, the equation becomes:
0 = 54 kg × 9.81 m/s² - F_lift

Solving for F_lift:
F_lift = 54 kg × 9.81 m/s²

Calculating the acceleration:
Using the equation F_net = m × a, we can find the acceleration of the lift:
0 = 60 kg × a - 54 kg × 9.81 m/s²

Solving for a:
60 kg × a = 54 kg × 9.81 m/s²
a = (54 kg × 9.81 m/s²) / 60 kg
a ≈ 8.82 m/s²

Therefore, the acceleration of the lift is approximately 8.82 m/s².