Physics Elasticity Question 66

Question: When a 4 kg mass is hung vertically on a light spring that obeys Hooke’s law, the spring stretches by 2 cms. The work required to be done by an external agent in stretching this spring by 5 cms will be $ (g=9.8,metres/sexc^{2}) $

[MP PMT 1995]

Options:

A) 4.900 joule

B) 2.450 joule

C) 0.495 joule

D) 0.245 joule

Show Answer

Answer:

Correct Answer: B

Solution:

$ K=\frac{F}{x} $

$ =\frac{40}{2\times {{10}^{-2}}}=0.2\ N/m $ Work done$ =\frac{1}{2}Kx^{2}=\frac{1}{2}\times (0.2)\times {{(0.05)}^{2}}=2.5\ J $