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Question

Physics Question on work

A particle of mass 100 g is 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 :

A

-0.5 J

B

-1.25 J

C

1.25 J

D

0.5 J

Answer

-1.25 J

Explanation

Solution

The height (h)traversed by particle while going up is h=u22g=252×9.8h=\frac{u^{2}}{2 g}=\frac{25}{2 \times9.8} Work done by gravity force =mg.hm \vec{g}. \vec{h} =0.1×g×252×9.8cos180=0.1\times g\times\frac{25}{2\times9.8} cos\, 180^{\circ} [Angle between force and displacement is 180?] W=0.1×252=1.25J\therefore\, \quad W=0.1 \times\frac{25}{2}=1.25 J