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Power

Question

A projectile is launched at angle θ to the horizontal from point L and it hits the target on level ground. During the entire motion:

 Column-I Column-II
i.Magnitude of radial
acceleration
p.remains constant
ii.Magnitude of tangential accelerationq.always increases
iii.Power delivered by gravityr.First increases, then decreases
iv.Total accelerations.First decreases, then increases

Now match the given columns and select the correct option from the codes given below.

Moderate
Solution

ar = g cos α, at = g sin α.
α first decreases and then increases. So radial acceleration increases and then decreases, Tangential acceleration decreases and then increases.

Power due to gravity = mg.v
=mg(gt-usinθ)
So power increases from initially negative to zero to finally positive.
 

Total acceleration is g which always remains constant.



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