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Question

A particle of mass m is projected with an initial velocity u at an angle θ from the ground. What is the work done by gravity during the time it reaches the highest point P?

A
mu2sin2θ2
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B
+mu2sin2θ2
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C
\N
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D
+ mu2sinθ
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Solution

The correct option is A mu2sin2θ2
Maximum height travelled by the projectile is
Hmax=u2sin2θ2g
Work done by gravity is dependent only on vertical displacement, hence
Work done = F.S= mgHmax=mgu2sin2θ2g=mu2sin2θ2
(a)
Why this question?

"Negative sign of work done indicates that the force opposes the motion of the particle"

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