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Standard XII

Physics

Second Law of Motion

A 20 kg monke...

Question

A $20 kg$ monkey slides down a vertical rope with a constant acceleration of $7 {m/s}^{2}$ . If $g = 10 {m/s}^{2}$ , what is the tension in the rope ?

140 N

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100 N

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60 N

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30 N

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Solution

The correct option is C $60 N$
Monkey is sliding down a vertical rope, so the rope will apply a force (i.e tension $T$ ) on monkey in vertically upward direction.
This can be understood from newton's $3^{r d}$ law i.e while moving downward, monkey will pull rope in downward direction. Hence rope will cause a pull on the monkey in UPWARD direction.

From the FBD of monkey:-

Applying Newton's $2^{n d}$ law in the direction of acceleration:-

$m g - T = m a$

$\Rightarrow 200 - T = 20 \times 7$

$∴ T = 200 - 140 = 60 N$

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A 20 kg monkey slides down a vertical rope with a constant acceleration of 7 m/s2. If g=10 m/s2, what is the tension in the rope ?

A $20 kg$ monkey slides down a vertical rope with a constant acceleration of $7 {m/s}^{2}$ . If $g = 10 {m/s}^{2}$ , what is the tension in the rope ?