A stone of mass 100 g attached to a string of length 50 cm is whirled in a vertical circle by giving it a velocity of 7 m/s at the lowest point. Find the velocity at the highest point .

Explanation

To find the velocity of the stone at the highest point of its vertical circular motion, we can follow these steps:

### Step 1: Identify the given values
- Mass of the stone, \( m = 100 \, \text{g} = 0.1 \, \text{kg} \) (since 1 g = 0.001 kg)
- Length of the string (radius of the circle), \( r = 50 \, \text{cm} = 0.5 \, \text{m} \) (since 1 cm = 0.01 m)
- Velocity at the lowest point, \( v_1 = 7 \, \text{m/s} \)

### Step 2: Calculate the total energy at the lowest point
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