Which change would cause the largest increase in a mountain climber’s gravitational potential energy?
a. carrying twice the weight and climbing half as high
b. carrying half the weight and climbing half as high
c. carrying twice the weight and climbing twice as high
d. carrying half the weight and climbing twice as high

Answer : The correct option is (c).

Explanation :

The energy which is due to the height of an object under the action of gravity is called gravitational potential energy.

Mathematically, it can be written as :

P = m g h

Where,

m is the mass of the object

g is the acceleration due to gravity

h is the height of the object from the reference level

So, potential energy is directly proportional to both the mass and the height.

The statement about the largest increase in a mountain climber’s gravitational potential energy is "carrying twice the weight and climbing twice as high".

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the force on the thing and the distance the force moves the thing