Earth is the 3^rd planet from our Sun at adistance of about 1.50 x 10¹¹ m. Earth has amass, M_Earth, of approximately 6.0x 10²⁴ kg and aradius, R_Earth, of about 6,400,000m. At Earth's surface, a body's weight can be calculatedsimply by multiplying the body'smass, m_body, by acceleration dueto gravity at Earth's surface, g, which isapproximately 9.8 m/s². However, to find thegravitational force exerted by Earth on a body at substantiallylarger distances from Earth's surface, one would need to useNewton' s Universal Law of Gravitation, shown below,where r represents the distance from thecenter of Earth to the center of the other body. If theUniversal Gravitational Constant, G, is 6.67x 10^-11 N-m²/kg²

PART I. Calculate the force of gravity on a 65-kg person inthe following circumstances:

a. At the surface of the Earth (Show all your work.)

b. At twice the Earth's radius (Show all your work.)

c. At four times Earth's radius (Show all your work.)

Answer rating: 100% (QA)

Newton s Universal Law of Gravitation F G m 1 m 2 r 2 Given ... View the full answer