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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
The Forces

Concepts Of Physics MCQ Edition [Volume 1] · Physics · The Forces

A body builder applies a force of 150 N against a bullworker,...

A body builder applies a force of 150 N150 \text{ N} against a bullworker, compressing it by 20 cm20 \text{ cm}. Determine the spring constant of the spring inside the bullworker.

Options

  1. A3000 N/m3000 \text{ N/m}
  2. B30 N/m30 \text{ N/m}
  3. C750 N/m750 \text{ N/m}
  4. D7.5 N/m7.5 \text{ N/m}

Correct answer

C. 750 N/m750 \text{ N/m}

Step-by-step solution

Given applied force F=150 NF = 150 \text{ N}

Compression x=20 cm=0.2 mx = 20 \text{ cm} = 0.2 \text{ m}

Using Hooke's law, the magnitude of the restoring force is equal to the applied force:

F=kxF = kx

Substituting the given values:

150=k×0.2150 = k \times 0.2

k=1500.2=750 N/mk = \dfrac{150}{0.2} = 750 \text{ N/m}
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