# A monkey of mass 15 kg is climbing on a rope with one end fixed to the ceiling. If it wishes w go up with an acceleration of1 m/s2, how much force should it apply to the rope? If the rope is 5 m long and the monkey starts from rest, how much time will it take to reach the ceiling?

Given:

mass=15kg

Acceleration of the monkey in the upward direction, a = 1 m/s2

The free-body diagram of the monkey is given in the attachment:

From the free-body diagram:

T − [15g + 15(a)] = 0

T − [15g + 15(1)] = 0

T = 5 (10 + 1)

T = 15 × 11 = 165 N

The monkey should apply a force of 165 N to the rope.

Initial velocity, u = 0, s = 5 m

Using, s = ut+at �, we get: 5=0+×1×t �

t =5×2 t=10 s

Hence, the time required to reach the ceiling is 10 s.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Pseudo Force52 mins
Challenging Quiz on Newton Laws of Motion Part 364 mins
Pully Problems | Getting JEE Ready68 mins
Elaborative Lecture on Constraint Motion59 mins
Check your understanding of linear momentum22 mins
Why edges are raised for Curved roads? - Banking of roads54 mins
Into the world of springs - Spring force48 mins
Basics strengthener - Newton Laws of motion61 mins
Understand Newton's 2nd law Exhaustively34 mins
Escaping the reality - Concept of Pseudo Force54 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses