Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

A person of mass $60 \text{ kg}$ is inside a lift of mass $940 \text{ kg}$ and presses the button on control panel. The lift starts moving upwards with an acceleration $1.0 \text{ m/s}^2$ . If $g=10 \text{ m/s}^2$ , the tension in the supporting cable is:

9680 N

11000 N

1200 N

8600 N

Step-by-Step Solution

System Definition: The tension in the supporting cable pulls the entire system upwards. Therefore, we must consider the total mass of the system.

Mass of person, $m = 60 \text{ kg}$ .
Mass of lift, $M = 940 \text{ kg}$ .
Total Mass, $M_{total} = M + m = 940 + 60 = 1000 \text{ kg}$ .

Forces Analysis:

Upward force: Tension ( $T$ ).
Downward force: Total Weight ( $W = M_{total}g$ ).
Net Acceleration: $a = 1.0 \text{ m/s}^2$ (upwards).

Equation of Motion: Applying Newton's Second Law ( $F_{net} = ma$ ) in the upward direction: $T - M_{total}g = M_{total}a$ $T = M_{total}(g + a)$ (Reference: NCERT Class 11, Physics Part I, Chapter 5, Laws of Motion, Section 5.9 Common Forces in Mechanics - similar logic applied to elevator problems).
Calculation: Substitute the values ( $g = 10 \text{ m/s}^2, a = 1.0 \text{ m/s}^2$ ): $T = 1000 \text{ kg} \times (10 + 1) \text{ m/s}^2$ $T = 1000 \times 11$ $T = 11000 \text{ N}$

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