Answer :
The change in the gravitational potential energy of the boy is 838 J.
So the correct choice is 838 J.
What is gravitational potential energy?
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
Learn more about the gravitational potential energy:
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The change in Jim's gravitational potential energy as he climbs from a height of 1.30 m to 3.20 m is approximately 838 J, calculated using the formula for gravitational potential energy PEg = m * g * h.
To calculate the change in gravitational potential energy (PEg) of Jim as he climbs the rope, we can use the formula:
PEg = m * g * h
where:
- m is the mass of the object (Jim) in kilograms
- g is the acceleration due to gravity (approximately 9.8 m/s2 on Earth)
- h is the change in height in meters
In Jim's case, his mass (m) is 45 kg, the acceleration due to gravity (g) is 9.8 m/s2, and the change in height (h) is the difference between the final height (3.20 m) and initial height (1.30 m), which is 1.90 m. Plugging these values into the formula gives us:
PEg = 45 kg * 9.8 m/s2 * 1.90 m = 837.3 J
Therefore, the change in Jim's gravitational potential energy is approximately 837.3 J when rounded to the nearest whole number, we get 838 J.
