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Grade 12th passMechanics

Abody is moving with a speed of 1 m/s and a force F is needed to stop it in a distance x. If the speed of body 3 m/ s , the force needed to stop it with the same distance x will be:

Profile image of Vaishnavi Mishra
8 Years agoGrade 12th pass
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1 Answer

Profile image of Arun
8 Years ago
V² = u² + 2ax
a = v² - u² /2x
a = 0 - 3²/2x
= -9/2x
If initial vel is 1 m/sec, then force required is proportional to 1/2x
When vel is 3m/sec, then force required is 9 times of the former.
Hence force required = 9F