Question

1 point
Q14 If force and displacement of particle of particle in the direction of
force are doubled, then work done would be *
A.double
B. 4 times
C. half
D. 1/4 times
This is a required question

Answer 1

$\sf{\underline{\underline{Given:}}}$

$\sf{If\:force\:and\:displacement\:of\:a\:particle\:in\:the\:direction}$$\sf{of\:force\:are\:doubled\:then\:work\:done\:would\:be?}$

$\sf{\underline{\underline{To\:Find:}}}$

$\sf{Work\:done,\:when\:"force"\:and\:"displacement"\:of}$$\sf{particles\:are\:doubled\:....?}$

$\sf{\underline{\underline{We\:know\:that:}}}$

$\sf\red{W\:(Work\:Done) = Fd\:(Force \times Displacement)}$

$\sf{\underline{\underline{SolUTiON:}}}$

$\sf{When\:force\:(F)\:and\:displacement\:(d)\:are\:doubled,}$$\sf{the\:work\:done\:becomes:}$

$\sf\green{\implies W' = (2F)\:(2d) }$

$\sf\orange{\implies W' = 4Fd}$

$\sf\purple{\implies W' = 4W}$

$\sf{\underline{\underline{Therefore:}}}$

$\sf{Work\:done\:would\:be\:4\:times.}$

Answer 2

Answer:

answer is  4 times

Explanation: