a stone of mass 1kg is tied with a string and it is whirled in a vertical circle of radius 1 m if the tension at the highest point is 14 Newton then velocity at lowest point will be..
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Explanation:
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
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