the earth (mass=5.98x10^24kg) rotates around the sun in a orbit that is approximately circular, with a radius of 1.5x10^11m

find the orbital speed of the earth around the sun

To find the orbital speed of the Earth around the Sun, we can use the formula for the orbital speed of an object in circular motion.

The formula for orbital speed is:

V = √(G * M / R)

where:
V is the orbital speed,
G is the gravitational constant (approximately 6.673 x 10^-11 N m^2/kg^2),
M is the mass of the Sun, and
R is the distance between the centers of the Earth and the Sun.

Given:
Mass of the Earth (m) = 5.98 x 10^24 kg
Radius of the orbit (R) = 1.5 x 10^11 m
Mass of the Sun (M) = 1.989 x 10^30 kg

Substituting these values into the formula, we get:

V = √(6.673 x 10^-11 N m^2/kg^2 * 1.989 x 10^30 kg / 1.5 x 10^11 m)

Calculating this expression will give us the orbital speed of the Earth around the Sun.