a stone of mass 1 kg is tied with a string and it is whirled in a vertical circle of radius 1 m. if tension at the highest point is 14 n, then velocity at lowest point will be (1) 3 m/s (2) 4 m/s (3) 6 m/s (4) 8 m/s
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Mass of the stone, m=1Kg
Radius, r=1m
Tension, T=14N
Let v
1
is velocity at the top point and v
2
is at the bottom point.
The tension at the top point is:
T=
r
mv
1
2
−mg
14=
1
1v
1
2
−1×10
v
1
2
=4
v
1
=2
So, total kinetic energy at the bottom is:
2
1
mv
2
2
=(mgh)
bottom
+
2
1
mv
1
2
2
1
mv
2
2
=20+2
2
1
mv
2
2
=22
v
2
=
44
=6.63m/s
Explanation:
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