The Work Done in Lifting a Barbell: Calculating Potential Energy Gain
Calculating Work Done:
The work done in lifting the 500-N barbell 2.0 m above the floor can be calculated using the formula:
Work = Force x Distance x cosθ
Where:
- Force = 500 N (weight of the barbell)
- Distance = 2.0 m (height lifted)
- θ = 0° (angle between force and distance)
Substituting the values into the formula, we get:
Work = 500 N x 2.0 m x cos 0° = 1000 Joules
Therefore, the work done in lifting the barbell is 1000 Joules.
Calculating Potential Energy Gain:
The gain in potential energy of the barbell can be calculated using the formula:
Potential Energy = mgh
Where:
- m = 51.0 kg (mass of the barbell)
- g = 9.81 m/s^2 (acceleration due to gravity)
- h = 2.0 m (height lifted)
Substituting the values into the formula, we get:
Potential Energy = 51.0 kg x 9.81 m/s^2 x 2.0 m = 999.4 Joules
Therefore, the gain in potential energy of the barbell when lifted to a height of 2.0 m is approximately 999.4 Joules.