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Energy and circular motion?
A 5.5 kg ball is spun on a thin cord in a
vertical circle having 3.81 m radius. It has
a speed of 16.7 m/s at the highest point of
the circle. Take zero potential energy at the
lowest point and use the 69
◦
angle measured
with respect to the vertical as shown.
The acceleration of gravity is 9.8 m/s
What minimum speed v0 is required to keep
the ball moving in a circle?
Answer in units of m/s
This is my last problem and i don't know where to start help would be nice thank you.
1 Answer
- Anonymous1 decade agoFavorite Answer
For zero tension in the string at the top of the swing, the centripetal acceleration would equal that of gravity.
v^2/R = g
v = (gR)^1/2
v = (9.80x3.81)^1/2
v = 6.11m/s