Jim climbs up a rope from an initial height of 1.30 m to a final height of 3.20 m. If Jim's mass is 45 kg, what is the change in his gravitational potential energy? Group of answer choices 1980 J 187 J 85.5 J 838 J

The energy possessed by an object due to its position from the chosen reference point when gravity is acting on that object is called gravitational potential energy.

The formula to calculate the difference in the potential energy is given by the formula,

U=m*g*h

where U is the difference in the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height difference between the initial height and the final height.

The height difference is given by the formula,

h=h2-h1

where h2 is the final height and h1 is the initial height.

Given that the initial height is 1.30 m and the final height is 3.20 m, substitute h1=1.30 m and h2=3.20 m in the formula of height to calculate the height difference.

h=3.20-1.30

h=1.90 m

The mass of the boy is 45 kg and the value of g is 9.8 m/s^2. Substitute m=45 kg, g=9.8 m/s^2, and h=1.90 m in the formula of the gravitational potential energy to calculate the difference in the gravitational potential energy.

U=45*9.8*1.90

U=837.9 J

U≈838

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