Question

3. A small hall is pushed from a height h along a smooth hemispherical bowl. With what speed s
the ball be pushed so that it just reaches the top of the opposite end of the bowl? The height of
top of the bowl is R.
(i)✓2gh
(ii)✓2gr
(iii)✓2(r+h)
(iv) ✓2(r-h)
​

Answer 1

Answer:

when the ball n at height h the P.E

1

of the ball in mgh

when the ball is pushed with velocity v it reaches

The bottom with K.E

1

=

2

1

mv

2

Thus by inertia the ball Travel upto R when its

P.E

2

=mgR and velocity=0

K.E

2

=0

∴ From low of conservation of energy

PE

1

+KE

1

=PE

2

+KE

2

mgh+

2

1

mv

2

=mgR+0

so ∴v=

2g(R−h)

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