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 the control panel. The lift starts moving upwards with an acceleration of $1.0 \text{ m/s}^2$ . If $g=10 \text{ m/s}^2$ , the tension in the supporting cable is:

$9680 \text{ N}$

$11000 \text{ N}$

$1200 \text{ N}$

$8600 \text{ N}$

Step-by-Step Solution

System Analysis: Consider the lift and the person together as a single system. The total mass $M$ is the sum of the mass of the lift and the mass of the person. $M = 940 \text{ kg} + 60 \text{ kg} = 1000 \text{ kg}$
Forces Involved:

The tension $T$ in the supporting cable acts vertically upwards.
The total weight of the system ( $Mg$ ) acts vertically downwards.

Equation of Motion: Since the lift is accelerating upwards with acceleration $a = 1.0 \text{ m/s}^2$ , we apply Newton's Second Law ( $F_{net} = Ma$ ) [NCERT Class 11, Physics Part I, Laws of Motion, Section 5.5]: $T - Mg = Ma$ $T = M(g + a)$
Calculation: Substitute the values ( $M=1000$ , $g=10$ , $a=1$ ): $T = 1000 \times (10 + 1.0)$ $T = 1000 \times 11 = 11000 \text{ N}$

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