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Standard XII

Physics

Problem Solving

A monkey of m...

Question

A monkey of mass $50 k g$ climbs on a rope which can withstand the tension $(T)$ of $350 N$ . If monkey initially climbs down with an acceleration of $4 m / s^{2}$ and then climbs up with an acceleration of $5 m / s^{2}$ . Choose the correct option $(g = 10 m / s^{2})$ .

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Solution

$T_{down} = 50 \times (10 - 4)$

$= 50 \times 6$

$= 300 N$

$T_{up} = 50 \times (10 + 5)$

$= 50 \times 15$

$= 750 N$

$\Rightarrow$ Rope will break while climbing up.

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Similar questions

A monkey of mass 40 kg climbs on a rope (Fig. 5.20) which can stand a maximum tension of 600 N. In which of the following cases will the rope break: the monkey

(a) climbs up with an acceleration of 6 m s^–2

(b) climbs down with an acceleration of 4 m s^–2

(d) falls down the rope nearly freely under gravity?

(Ignore the mass of the rope).

Fig. 5.20

A monkey of mass

40

k g

climbs on a rope which can stand a maximum tension of

600

N

. In which of the following cases will the rope break. When the monkey

(a) Climbs up with an acceleration of

6

m s^{- 2}

(b) Climbs down with an acceleration of

4

m s^{- 2}

5

m s^{- 1}

(d) Falls down the rope nearly freely under gravity.

(Ignore the mass of the rope)

Q. Solve this:
Q.1. A monkey of mass 40 kg climbs on a massless rope of breaking strength 600 N. The rope will break if the monkey. (Take g = 10 m/

s^{2}

)
A) Climbs up with a uniform speed of 6 m/s
B) Climbs up with an acceleration of 6 m/

s^{2}

C) Climbs down with an acceleration of 4 m/

s^{2}

D) Climbs down with a uniform speed of 5 m/s

A monkey of mass 20kg climbs on a rope which can stand a maximum tension of 300 N.in which of the following cases the rope breaks? The monkey

Options

Climbs up with an acceleration of 6m/s2

Climbs up with a uniform speed of 5m/s

Climbs down with an acceleration of 4m/s2

Falls down the rope nearly freely under gravity

Ans :1st option

Q. A monkey of mass

40 kg

climbs up a rope of breaking load

600 N

, hanging from a ceiling. If it climbs up the rope with maximum possible acceleration, then the time taken by the monkey to climb up is:
(Length of the rope is

10 m

and

g = 10 {m/s}^{2}

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A monkey of mass 50 kg climbs on a rope which can withstand the tension (T) of 350 N. If monkey initially climbs down with an acceleration of 4 m/s2 and then climbs up with an acceleration of 5 m/s2. Choose the correct option (g=10 m/s2).

Tdown=50×(10−4) =50×6 =300 N Tup=50×(10+5) =50×15 =750 N ⇒ Rope will break while climbing up.

A monkey of mass $50 k g$ climbs on a rope which can withstand the tension $(T)$ of $350 N$ . If monkey initially climbs down with an acceleration of $4 m / s^{2}$ and then climbs up with an acceleration of $5 m / s^{2}$ . Choose the correct option $(g = 10 m / s^{2})$ .

$T_{down} = 50 \times (10 - 4)$

$= 50 \times 6$

$= 300 N$

$T_{up} = 50 \times (10 + 5)$

$= 50 \times 15$

$= 750 N$

$\Rightarrow$ Rope will break while climbing up.