Respuesta :
Answer:
Explanation:
There will be loss of potential energy due to loss of height and gain of kinetic energy .
loss of height = R - R cos 14 , R is radius of hemisphere .
R ( 1 - cos 12 )
= 13 ( 1 - .978 )
h = .286 m
loss of potential energy
= mgh
= m x 9.8 x .286
= 2.8 m
gain of kinetic energy
1/2 m v ² = mgh
v² = 2 g h
v² = 2 x 9.8 x 2.8
v = 7.40 m /s
Answer:
13.90 m/s
Explanation:
from the diagram in the attachment
we can find height h
[tex]h=rsin14=13sin14\\=3.15 m[/tex]
now by energy conservation at two points we can write
velocity at 14 degrees down the hemisphere
[tex]v=\sqrt{2g(13-3.14)} =\sqrt{2\times9.81\times9.86} \\=13.90\text{ m/s}[/tex]
