A body projected vertically upwards with a velocity of 19.6 m/s reaches a height of 19.8m on earth. If it is projected vertically up with the same velocity on moon, then the maximum height reached by it is.
Answers
Hi Friend
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velocity on earth = 19.6 m/s
height = 19.8 m
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v^2- u^2 = 2 a s
(19.6 )^2 = 2 x a x 19.8
384.16 /19.8 = 2 x a
19.4 = 2 a
a = 19.4/2
a = 9.7 m s^-2
so the acceleration due to gravity is 9.7 on earth
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On moon :
v^2-u^2 = 2as
(19.6 )^2 = 2 x 9.7/6 x s
384.16 = 2 x 1.61 x s
384.16 = 3.23 x s
384.16/3.23 = s
118.93 m = s
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Answer:
120.05 m is the maximum height of the ball.
Explanation:
Since, Acceleration due to gravity on moon (g)= 1.6metre per seconds square.
Initial velocity of ball (u)=0m per second
Final Velocity of ball (v)=19.6m per second
v^2=u^2 +2gh
.:. (19.6)^2=(0) ^2+2×1.6×h
or 384.16=0+3.2h
or. h =120.05