a body of mass 1 kg is allowed to fall freely from height of 10 m . Afyer one meter find it's Kinetic energy and potential energy
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Given
- Mass = 1 kg
- Initial Height = 10 m
- Height from which we have to find all values = 10-1 = 9 m
- Gravitational Acceleration = 10 m/s²
To Find
- Kinetic Energy and the Potential Energy of the body
Solution
● Kinetic Energy = ½mv²
● Potential Energy = mgh
✭ Kinetic Energy of the body :
→ Eₖ = ½mv²
- Initial velocity would be 0 m/s at the start as the ball is initially in rest, after 1 m with an acceleration of 10 m/s² the velocity of the body would become 10 m/s
→ Eₖ = ½ × 1 × 10²
→ Eₖ = 50 J
✭ Potential Energy of the body :
→ Eₚ = mgh
→ Eₚ = 1 × 10 × 9
→ Eₚ = 90 J
∴ The Kinetic Energy of the body is 50 J and the Potential Energy is 90 J
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