Step 1: Understanding the Concept:
The apparent weight is the normal reaction force \( N \). The lift is moving up but retarding (slowing down), which means the acceleration vector points downwards.
Acceleration \( a = 2.8 \, \text{m/s}^2 \) (downwards).
Step 2: Key Formula or Approach:
For a lift with downward acceleration \( a \):
\[ N = m(g - a) \]
(Note: "Moving up with retardation" is equivalent to downward acceleration).
Step 3: Detailed Explanation:
Given:
Mass \( m = 60 \, \text{kg} \).
Gravity \( g = 9.8 \, \text{m/s}^2 \) (standard assumption unless specified 10).
Acceleration \( a = 2.8 \, \text{m/s}^2 \).
Calculate \( N \):
\[ N = 60 (9.8 - 2.8) \]
\[ N = 60 (7) \]
\[ N = 420 \, \text{N} \]
Step 4: Final Answer:
The apparent weight is 420 N.