Answer :
Final answer:
The increase in the potential energy of a 195 kg barbell raised to a height of 1.87 m is 3577.47 joules, calculated using the equation PEg = mgh.
Explanation:
To calculate the increase in potential energy of the barbell when the weightlifter raises it to a height of 1.87 m, we use the equation for gravitational potential energy which is PEg = mgh, where PEg is the potential energy due to gravity, m is the mass in kilograms, g is the acceleration due to gravity (approximately 9.8 m/s2 on Earth), and h is the height in meters.
The mass of the barbell (m) is 195 kg, the height (h) to which it is being lifted is 1.87 m, and the acceleration due to gravity (g) is 9.8 m/s2. Plugging these values into the equation, we have:
PEg = (195 kg) imes (9.8 m/s2) imes (1.87 m)
PEg = 195 kg imes 18.346 m2/s2
PEg = 3577.47 J
Therefore, the increase in the potential energy of the barbell is 3577.47 joules.
