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+1 vote
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in Physics by (70.0k points)
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A hollow sphere has radius 6.4 m. Minimum velocity required by a motorcyclist at bottom to complete the circle will be

(A) 17.7 m/s

(B) 10.2 m/s

(C) 12.4 m/s

(D) 16.0 m/s

2 Answers

+1 vote
by (41.6k points)
selected by
 
Best answer

Correct option is (A)

​​​​​

To complete the circle, \(\frac{mv_0^2}{R}=mg\Rightarrow v_0^2=gR\)

Now, from conservation of energy: K1+U1=K2+U2

\(\frac{1}{2}mv^2+0=\frac{1}{2}mv_0^2+mg(2R)\)

\(\Rightarrow v^2=gR+4gR\Rightarrow v=\sqrt{5gR}\)

\(\Rightarrow v=\sqrt{5\times 10\times 6.4}=17.7m/s\)​​​​​​​

+1 vote
by (69.2k points)

The correct option- (A) 17.7 m/s 

Explanation:-

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