Question

. A monkey is decending from the branch of a tree
with constant acceleration. If the breaking
strength is 75% of the weight of the monkey, the
minimum acceleration with which monkey can
slide down without breaking the branch is
(a) g (b) 3g
4
(c) g (d) g
4 2

Answer 1

Answer:

Plz mark as brainliest...... if u r satisfied..... have a great journey ahead

Answer 2

$\Large\boxed{\sf{\dfrac{g}{4}\ m\ s^{-2}}}$

Solution

Let the mass of the monkey be m so that its weight is W = mg.

For minimum acceleration the tension in the branch should reach its breaking strength, i.e.,

$\longrightarrow\sf{T=\dfrac{3}{4}W}}$

$\longrightarrow\sf{T=\dfrac{3}{4}mg}$

The weight 'mg' is acting downwards, the tension 'T' is acting upwards, and the net force 'ma' is acting downwards as the monkey is descending down. So,

$\longrightarrow\sf{ma=mg-\dfrac{3}{4}\ mg}$

$\longrightarrow\sf{ma=\dfrac{1}{4}\ mg}$

$\longrightarrow\sf{\underline{\underline{a=\dfrac{g}{4}\ m\ s^{-2}}}}$