Question

In: Physics

What is Earth's Specific Mechanical Energy in its orbit around the Sun? Here are some properties...

What is Earth's Specific Mechanical Energy in its orbit around the Sun?

Here are some properties you may or may not need to solve this question (you'll have to decide which of these will help you):

Earth's semi-major axis in its orbit around the sun, a = 149.6 x 106 km

Earth's mass is 6 x 1024 kg

Earth's Gravitational Parameter, μEarth = 3.986 x 105 km3 s-2

Sun's Gravitational Parameter, μSun = 1.327×1011 km3 s-2

Sun's mass is 2 x 1030 kg The units on your answer should be km2 s-2.

Please provide just the value and not the units in your answer.

Expert Solution

Write the equation of specific mechanical energy of earth in its orbit around the Sun.

------ (1)

Here, is specific mechanical energy of earth in its orbit around the Sun, is standard gravitational parameter and is semi-major axis of earth's orbit around the sun.

Calculate the value of .

Substitute for and for in above equation.

Substitute for and for in equation (1).

Thus, specific mechanical energy of earth in its orbit around the Sun will be equal to .

genius_generous answered 7 months ago

Earth’s orbit around the Sun is an ellipse that is almost a circle. The Sun is...

Earth’s orbit around the Sun is an ellipse that is almost a circle. The Sun is at one focus, the major axis is 299,190,000 km in length, and the minor axis is 299,148,000 km in length. What are the minimum and maximum distances from Earth to the Sun?

a.) Calculate the angular velocity (in rad/s) of the Earth in its orbit around the sun...

a.) Calculate the angular velocity (in rad/s) of the Earth in its orbit around the sun and that about its axis. b.) Calculate the moment of inertia, the angular momentum, and the rotational kinetic energies for both cases.

Calculate the mass of the sun from the radius of the earth's orbit (1.50×1011 m), the...

Calculate the mass of the sun from the radius of the earth's orbit (1.50×1011 m), the earth's period in its orbit, and the gravitational constant G. What is the density of the sun ? (The sun's radius is 6.96×108 m). Notice how it compares with the density of the earth.

Estimate the eccentricity e of the earth’s orbit around the sun by taking account of the...

Estimate the eccentricity e of the earth’s orbit around the sun by taking account of the differing lengths of the seasons. Please show step by step.

describe the different changes in the orbit of the Earth around the sun including their periodicity?

The radius of the Earth’s orbit around the sun (assumed to be circular) is 1.50∙108 km,...

The radius of the Earth’s orbit around the sun (assumed to be circular) is 1.50∙108 km, and the Earth travels around this obit in 365 days. The mass of the Earth is 5.98·1024 kg, and mass of the Sun is 1.99∙1030 kg. (a) What is the magnitude of the orbital velocity of the Earth, in m/s? (b) What is the radial acceleration of the earth toward the sun, in m/s2? (c) What is the magnitude of centripetal force acting on...

A comet moves in an elliptical orbit around the sun. As the comet moves from aphelion...

A comet moves in an elliptical orbit around the sun. As the comet moves from aphelion (the point on the orbit farthest from the sun) to perihelion (the point on the orbit closest to the sun), which of the following results is true? Speed of the comet Angular momentum of the comet/sun system Gravitational potential energy of the comet/sun system A Increases Increases Decreases B Increases Constant Decreases C Decreases Decreases Increases D Increases Increases Constant E Constant Constant Constant

Consider a satellite of mass ms in circular orbit around Earth, a distance h above Earth's...

Consider a satellite of mass ms in circular orbit around Earth, a distance h above Earth's surface. Assume the Earth is a sphere with radius Re and mass Me. (a) As the satellite travels in circular orbit, will its speed increase, decrease, or remain constant? Explain. (b) The only force acting on the satellite is gravity, so the satellite is in freefall. Why doesn't the satellite get closer to Earth's surface? (c) Determine the ratio of the force of gravity...

If a spacecraft has a high specific mechanical energy, what does this tell us about the...

If a spacecraft has a high specific mechanical energy, what does this tell us about the size of the orbit? Why? What is the specific mechanical energy, e, of an orbit with a semimajor axis of 42,160 km

What is the Big Bang? What are some of its properties?