On the moon (where gravity is 1/6thâ€‹of the Earth) there is a bucket of water kept on the s grand - Physics - Mechanical Properties Of Fluids

Question

On the moon (where gravity is 1/6th
â€‹of the Earth) there is a bucket of
water kept on the s grand surface, filled till height H= 4m and a
small hole is drilled so the water ejected out falls on the ground
at maximum distance from the bucket Then the maximum range R is ?

Deepak Kumar · Accepted Answer

Dear Student,
let the distance be x
  then range(R)=2   [(3H-x)
x]1/2  since t=2xg1/2 and v=2g(3H-x)1/2  R2 = 4
(3Hx-x2)  for R to be max
R2 should be max
 hence differentiating and putting dR2dx=0
 we get 3H-2x=0  x=3H/2 Putting H=4mx=6m      
Regards

On the moon (where gravity is 1/6th ​of the Earth) there is a bucket of water kept on the s grand surface, filled till height H= 4m and a small hole is drilled so the water ejected out falls on the ground at maximum distance from the bucket Then the maximum range R is ?

On the moon (where gravity is 1/6^th of the Earth) there is a bucket of water kept on the s grand surface, filled till height H= 4m and a small hole is drilled so the water ejected out falls on the ground at maximum distance from the bucket Then the maximum range R is ?