3.4k views
5 votes
Calculate the force of gravity on a 1-kg mass if it were 6.4 x 106 m above Earth's surface (that is, if it were two Earth radii from Earth's center).

press your answer to two significant figures and include the appropriate units.

User Omarzouk
by
8.5k points

1 Answer

5 votes

Answer:

The answer is: Fg = 0.87 N

N is the unit of force and stands for Newton.

So the answer is 0.87 N.

Step-by-step explanation:

To calculate the force of gravity on a 1-kg mass if it were 6.4 x 106 m above Earth's surface, we can use the formula:

F = (G * M) / r^2

where:

F = force of gravity on the mass

G = gravitational constant (6.67 x 10^-11 N m^2/kg^2)

M = mass of the Earth (5.97 x 10^24 kg)

r = distance from the center of the Earth to the mass

Substituting the values, we have:

F = (6.67 x 10^-11 N m^2/kg^2 * 5.97 x 10^24 kg) / (6.4 x 10^6 m)^2

Simplifying the algebra, we have:

F = 0.87 N

Therefore, the force of gravity on a 1-kg mass at a distance of 6.4 x 106 m above Earth's surface is approximately 0.87 N.

The units of the force are newtons (N).

User Mttcrsp
by
7.4k points