Deriving the Acceleration due to Gravity on any Planet and specifically Mt. Everest

The video tutorial explains two equations for the force of gravity: the planet-specific equation and Newton's universal law of gravitation. It demonstrates how to calculate the acceleration due to gravity near the Earth's surface and at the top of Mount Everest, highlighting the slight variations in gravity due to altitude. The tutorial also discusses the impact of gravity on high jump performance, using Javier Sotomayor's world record as an example. The video concludes with a summary of the key points covered.

What is the general equation for the force of gravitational attraction according to Newton's law?

• Force of gravity equals mass times acceleration due to gravity.

• Force of gravity equals the universal gravitational constant times mass 1 times mass 2, divided by r squared.

• Force of gravity equals the mass of the planet times the height of the object.

• Force of gravity equals the mass of the object times the radius of the planet.

What is the radius of the Earth at Mount Everest used for calculating gravity?

• 6.370 times 10 to the sixth meters

• 6.378 times 10 to the sixth meters

• 6.3735 times 10 to the sixth meters

• 6.371 times 10 to the sixth meters

How does the Earth's shape affect the radius used in gravitational calculations?

• The Earth is a flat disc, so the radius is the same everywhere.

• The Earth is a cube, so the radius varies randomly.

• The Earth is an oblate spheroid, so the equatorial radius is larger than the polar radius.

• The Earth is a perfect sphere, so the radius is constant.

What is the acceleration due to gravity at the top of Mount Everest?

• 9.81 meters per second squared

• 9.77 meters per second squared

• 9.80 meters per second squared

• 9.75 meters per second squared

How would Javier Sotomayor's high jump height change if performed at the top of Mount Everest?

• He would jump 2.50 meters, significantly higher than at sea level.

• He would jump 2.46 meters, slightly higher than at sea level.

• He would jump 2.44 meters, slightly lower than at sea level.

• He would jump 2.45 meters, the same as at sea level.