A person of mass 60 ~kg is inside a lift of mass 940 ~kg and...

A person of mass

60 \mathrm{~kg}

is inside a lift of mass

940 \mathrm{~kg}

and presses the button on control panel. The lift starts moving upwards with an acceleration

1.0 \mathrm{~m} / \mathrm{s}^2

. If

g=10 \mathrm{~m} / \mathrm{s}^2

, the tension in the supporting cable is A person of mass 60 ~kg is inside a lift of mass 940 ~kg and presses the button on control panel. The lift starts

Options

A $9680 \mathrm{~N}$
B $11000 \mathrm{~N}$
C $1200 \mathrm{~N}$
D $8600 \mathrm{~N}$

Correct answer

B. $11000 \mathrm{~N}$

Step-by-step solution

\begin{aligned}& \text{ Total mass }=\text{ Mass of lift }+ \text{ Mass of person }\\ & =940+60=1000 \mathrm{~kg}\\ & T-m g=m a \\ & \text{ Hence, }T-1000 \times10=1000 \times1 \\ & T=11000 \mathrm{~N}\\ & \end{aligned}

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