Question

a motorcyclist sides in vertical circles in a hollow sphere of radius 3cm find its minimum speed required so that he does not lose contact with the sphere at the highest point (g 9.8m/square​

Answer 1

Answer:-

$\pink{\bigstar}$ Minimum speed $\large\leadsto\boxed{\rm\purple{0.54 m/s}}$

• Given:-

Radius of the sphere = 3 cm = 0.03 m

g = 9.8 m/s²

• To Find:-

Minimum speed required not to lose contact with the sphere at highest point.

• Solution:-

Given,

The motorcyclist does not lose contact with the sphere at the highest point.

We know,

Velocity at the highest point:-

$\large\boxed{\green{\bf v = \sqrt{rg}}}$

here

v = minimum speed

r = radius of sphere

g = acceleration due to gravity

Hence,

Substituting the values:-

→ $\sf v = \sqrt{0.03 \times 9.8}$

→ $\sf v = \sqrt{0.294}$

→ $\sf v = 0.5422$

→ $\bf\red{v = 0.54 m/s}$

Therefore, the minimum speed will be 0.54 m/s.