Asatellite orbits the earth in an elliptical orbit. at perigee its distance from the center of the earth is 22500 km and its speed is 4280 m/s. at apogee its distance from the center of the earth is 24100 km and its speed is 3990 m/s. using this information calculate the mass of the earth. explain how you arrived to your answer. i have an exam coming up.

Explanation:

K = Kinetic energy

= Perigee speed = 4280 m/s

= Apogee speed = 3990 m/s

= Perigee Distance = 22500000 m

= Apogee Distance = 24100000 m

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

M = Mass of Earth

m = Mass of satellite

In this system the kinetic and potential energies are conserved

The mass of the Earth is

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

i think the answer is tomato juice? not entirely sure though