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NEET Class neet Answered

assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth .if Re is the maximum range of a projectile on the earth's surface,what is the maximum range on the surface ofthe moon for the same velocity of projection
Asked by anjinmurthyh | 13 Dec, 2023, 11:06: PM
answered-by-expert Expert Answer

Range Re of projectile on earth is

img

where u is initial velocity ,  θ is angle of projection and g is acceleration due to gravity.

If the initial velocity and angle of projection is same, then range Rm of projectile on moon is

img

where gm is acceleration due to gravity on moon .

Hence ratio of range of projectile on moon to that on earth is

img

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