Question:

A monkey of mass $m$ kg slides down a light rope attached to a fixed spring balance, with an acceleration $a$. The reading of the balance is $w kg [g=$ acceleration due to gravity $]$

Updated On: Jul 5, 2022
  • $m=\frac{w g}{g-a}$
  • $m=w\left(1+\frac{a}{g}\right)$
  • the force of friction exerted by the rope on the monkey is $ m(g-a)N $
  • the tension in the rope is $ wg\,N $
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The Correct Option is C

Solution and Explanation

The reading of the spring balance $=$ tension in the rope $=$ the force of friction between rope and the monkey $=m g-m a=m(g-a) N$
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Concepts Used:

Kinetic energy

Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.