Question
What is the mass of a hiker 200m above the ground if her GOE is 117,600
Answers
Answered by
GPT 3.5
The gravitational potential energy (GOE) of an object is given by the formula:
GOE = m * g * h
Where:
m = mass of the object
g = acceleration due to gravity (approximately 9.8 m/s²)
h = height or vertical distance above the ground
Given that the GOE is 117,600 and the height is 200m, we can rearrange the formula to solve for the mass (m):
m = GOE / (g * h)
Substituting the given values:
m = 117,600 / (9.8 * 200)
m = 117,600 / 1960
m = 60
Therefore, the mass of the hiker 200m above the ground is 60 kg.
GOE = m * g * h
Where:
m = mass of the object
g = acceleration due to gravity (approximately 9.8 m/s²)
h = height or vertical distance above the ground
Given that the GOE is 117,600 and the height is 200m, we can rearrange the formula to solve for the mass (m):
m = GOE / (g * h)
Substituting the given values:
m = 117,600 / (9.8 * 200)
m = 117,600 / 1960
m = 60
Therefore, the mass of the hiker 200m above the ground is 60 kg.