A weightlifter raises a 200-kg barbell to a height of 2.17 meters. What is the increase in the potential energy of the barbell?
Question
A weightlifter raises a 200-kg barbell to a height of 2.17 meters. What is the increase in the potential energy of the barbell?
Solution
To calculate the increase in potential energy, we can use the formula for gravitational potential energy which is:
PE = mgh
where: PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height the object is lifted.
In this case, the mass m is 200 kg, the acceleration due to gravity g is approximately 9.8 m/s² (on Earth), and the height h is 2.17 m.
Substituting these values into the formula gives:
PE = 200 kg * 9.8 m/s² * 2.17 m = 4246.6 Joules
So, the increase in the potential energy of the barbell is 4246.6 Joules.
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