In a balloon adventure, you reach 10 km in height. Find the percentage variation in the weight of the balloon-crew system with respect to sea level.

0.31%

Explanation:

The acceleration due to gravity at sea level is:

g = GM / R²

where G is the gravitational constant, M is the mass of Earth, and R is the radius of the Earth.

The acceleration due to gravity a height h above sea level is:

g' = GM / (R+h)²

The percent variation is:

(g − g') / g

= 1 − g'/g

= 1 − [GM / (R+h)²] / [GM / R²]

= 1 − R² / (R+h)²

= 1 − (R / (R+h))²

The average radius of the Earth is 6370 km.  The height of the balloon is 10 km.

1 − (6370 / (6370 + 10))²

0.0031

0.31%

3 examples of kinetic energy:

The river flow down the stream or the falling at the gorge has kinetic energy possessed in it. The basketball dribbled down which bounces back to the certain height has the kinetic energy in the ball. The shooting star falls down in the sky or space with the kinetic energy in it.

Kinetic energy is the form of energy which is associated with motion of the body who possesses it. Kinetic energy is dependent upon “mass and velocity” of the body.