The gravitational potential energy of an 88 kg person in a building that is 385 m tall is 332,024 J. The person then jogs up the stairs, an...

The potential energy of a body is given as the product of its mass (m), acceleration due to gravity (g) and its height (h) with respect to a datum. In this case, the mass of the person, m = 88 kg, and he is at a height of 385 m (= h).

His gravitational potential energy = m x g x h

= 88 kg x 9.8 m/s^2 x 385 m = 332,024 J.

The person jogs up on a set of stairs, a further distance of 100 m. The inclination of stairs is not given, so we cannot determine the additional height gained by the person, without making some assumption. 

Assuming the inclination of stairs to be 30 degrees with the horizontal. Thus, further height gained by the person is 100 sin 30 = 50 m.

Thus, additional potential energy gained = m x g x h'

= 88 kg x 9.8 m/s^2 x 50 m = 43,120 J.

Thus, the potential energy of the person increases as he goes further up (by jogging).

Hope this helps.