Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2003
Exam
NEET
Year
2003
Subject
Physics
Chapter
Laws of Motion

NEET 2003 · Physics · Laws of Motion

A monkey of mass 20 ~kg is holding a vertical rope. The rope will...

A monkey of mass 20 kg20 \mathrm{~kg} is holding a vertical rope. The rope will not break when a mass of 25 kg25 \mathrm{~kg} is suspended from it but will break if the mass exceeds 25 kg25 \mathrm{~kg}. What is the maximum acceleration with which monkey can climb up along the rope?

Options

  1. A5 m/s25 \mathrm{~m} / \mathrm{s}^2
  2. B10 m/s210 \mathrm{~m} / \mathrm{s}^2
  3. C25 m/s225 \mathrm{~m} / \mathrm{s}^2
  4. D2.5 m/s22.5 \mathrm{~m} / \mathrm{s}^2

Correct answer

D. 2.5 m/s22.5 \mathrm{~m} / \mathrm{s}^2

Step-by-step solution

Let T=T= tension in the rope when monkey climb up with an acceleration aa. Then T−mg=maT-m g=m a25g−20g=20a5g=20a⇒a=5×1020=2.5 m/s2\begin{aligned} & 25 g-20 g=20 a \\ & 5 g=20 a \\ & \Rightarrow a=\frac{5 \times 10}{20}=2.5 \mathrm{~m} / \mathrm{s}^2 \end{aligned}$$
Practice Laws of Motion on Quantrex Academy →

More from Laws of Motion

The magnitude and direction of the acceleration produced in a body of mass 5 kg when two… NEET 2026A box of mass 15 kg is kept on the floor of a stationary trolley. The coefficient of… NEET 2026A car travels on a circular racetrack of radius 50 m, which is banked at an angle θ . If… NEET 2026There are two inclined surface of equal length (L) and same angle of inclination 45^ ∘… NEET 2025A uniform rod of mass 20 kg and length 5 m leans against a smooth vertical wall making an… NEET 2025A box of mass 5 kg is pulled by a cord, up along a frictionless plane inclined at 30^ ∘… NEET 2024A bob is whirled in a horizontal circle by means of a string at an initial speed of 10… NEET 2024A horizontal force 10 N is applied to a block A as shown in figure. The mass of blocks A… NEET 2024 Full Laws of Motion list All NEET PYQs