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Q.

A particle of mass 100 gm thrown vertically upwards with a speed of  5 m/s.  The work done by the force of gravity during the time, the particle goes up is

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a

0.5 J

b

-0.5 J

c

-1.25 J

d

1.25 J

answer is C.

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Detailed Solution

Work done by gravity   =− Ve   from work energy theorem,  work done = change in KE initial velocity = 5m/s final velocity = 0 mass m =1001000kg   W   =    K.Efinal-KEinitial W   = 0-  12 mv2 W=- 121001000 52 W=-1.25 joule Here  gravity is opposite to the displacement and hence the work done by gravity is equal to negative  of ptential energy  when the body moves up.
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A particle of mass 100 gm thrown vertically upwards with a speed of  5 m/s.  The work done by the force of gravity during the time, the particle goes up is