Question

a body of mass 10 kg is lifted to a height above the ground for 6 seconds if the potential energy is 360 joules then
find the height through wich the body is lifted up ( g=10m/s^2)
also calculate the power of the body
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Answer 1

Explanation:

Height at which it is lifted is 3.6m

Answer 2

Given

• Mass of the body = 10 kg
• Time = 6 sec
• Potential Energy = 360 J
• Gravitational Acceleration = 10 m/s²

To Find

• Height through which the body is lifted up
• Power of the body

Solution

● Potential Energy is given by, Pe = mgh

● Power is given by, Power = Work/time

● Work done is given by, Work = Force × Displacement

● Force is given by, Force = ma

✭ Height through which the body is lifted :

→ Pe = mgh

→ 360 = 10 × 10 × h

→ 360 = 100h

→ 360/100 = h

→ Height = 3.6 m

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✭ Power of the body

→ Power = Work/Time

→ Power = (Force × Displacement)/Time

→ Power = ({ma} × Displacement)/Time

→ Power = ({10×10} × 3.6)/6

→ Power = (100×3.6)/6

→ Power = 360/6

→ Power = 60 W