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Standard IX

Physics

Second Law of Motion

A lift with a...

Question

A lift with a weight of $50 N$ is accelerated vertically upward at $4 m / s^{2}$ with a rope of negligible weight tied to it. What is the force exerted by the rope on the object?

30 N

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20 N

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70 N

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250 N

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Solution

The correct option is B $70 N$
If the lift is accelerating upwards, then moving into the frame of reference, a pseudo force will be acting on the body in the downward direction, thus balancing the forces on the body:
$T = m (g + a)$

Putting the values,
$T = 50 + m a$
=> $T = 50 + 5 \times 4$
=> $T = 50 + 20$
=> $T = 70 N$

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A lift with a weight of 50N is accelerated vertically upward at 4m/s2 with a rope of negligible weight tied to it. What is the force exerted by the rope on the object?

The correct option is B 70NIf the lift is accelerating upwards, then moving into the frame of reference, a pseudo force will be acting on the body in the downward direction, thus balancing the forces on the body:T=m(g+a)Putting the values,T=50+ma=> T=50+5×4=> T=50+20=> T=70N

A lift with a weight of $50 N$ is accelerated vertically upward at $4 m / s^{2}$ with a rope of negligible weight tied to it. What is the force exerted by the rope on the object?