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.

Expert Solution

genius_generous answered 1 year ago

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...

The maximum distance from the Earth to the Sun (at aphelion) is 1.521 1011 m, and...

The maximum distance from the Earth to the Sun (at aphelion) is 1.521 1011 m, and the distance of closest approach (at perihelion) is 1.471 1011 m. The Earth's orbital speed at perihelion is 3.027 104 m/s. Ignore the effect of the Moon and other planets. (a) Determine the Earth's orbital speed at aphelion. m/s (b) Determine the kinetic and potential energies of the Earth

There is a satellite of mass m in an orbit radius R about a planet with...

There is a satellite of mass m in an orbit radius R about a planet with mass M. a. What is the sum of the kinetic energy and the gravitational potential energy of the satellite? b. What is the energy required for the satellite to escape the planet's gravity?

A satellite with Mass m is in orbit with a constant radius around the earth r0...

A satellite with Mass m is in orbit with a constant radius around the earth r0 (RE=6370km, Mass ME = 5,98*1024kg) a) Show that the satellite moves with uniform circular motion and calculate the velocity v0 in dependance of G,M E and R E . b) At which height h above the earth's surface is the geostationary orbit found? Which linear velocity does a satellite have at this height? c) Compare this to the linear velocity on earth's surface as...

A twin-blade aircraft propeller has a mass of 30.0 kg and a radius of 1.50 m....

A twin-blade aircraft propeller has a mass of 30.0 kg and a radius of 1.50 m. When the aircraft is flying at its top speed of 162 knots the tips of the propeller blades may not move faster than 300 m/s through the air (otherwise they would be travelling supersonically). Determine: 3.1 the maximum safe angular speed of the propeller in rpm; 3.2 the torque the engine must exert on the propeller in order for it to reach this maximum...

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...

1) The distance between the sun and earth is 1.5 x 1011 m and the earths...

1) The distance between the sun and earth is 1.5 x 1011 m and the earths orbital speed is 3x104m/s . Use this information to calculate the mass of the Sun. (G = 6.67 x 10-11 N m2/kg2). 2. If a disk is rotating at 1200 rev/min what is the angular velocity in rad/sec, what angular (dece)acceleration is required to stop it in 3 min. What torque will do this? Assume the mass of the disk is 3kg and radius...

A rocket with mass 5.00×103 kg is in a circular orbit of radius 7.30×106 m around...

A rocket with mass 5.00×103 kg is in a circular orbit of radius 7.30×106 m around the earth. The rocket's engines fire for a period of time to increase that radius to 8.70×106 m , with the orbit again circular. A)What is the change in the rocket's gravitational potential energy? Does the potential energy increase or decrease? B) How much work is done by the rocket engines in changing the orbital radius

A rocket with mass 4.00×103 kg is in a circular orbit of radius 7.40×106 m around...

A rocket with mass 4.00×103 kg is in a circular orbit of radius 7.40×106 m around the earth. The rocket's engines fire for a period of time to increase that radius to 8.90×106 m, with the orbit again circular. a) What is the change in the rocket's kinetic energy? Does the kinetic energy increase or decrease? b) What is the change in the rocket's gravitational potential energy? Does the potential energy increase or decrease? c) How much work is done...

5. The mass of the sun is 2.00 x 1030 kg. The radius of the sun...

5. The mass of the sun is 2.00 x 1030 kg. The radius of the sun is 7.00 x 108 m. a) What is the DENSITY of the sun? b) What are the possible errors in your calculation in a)? c) What is the PRESSURE at the center of the sun? (HINT: think of the sun as two gravitation masses each 1⁄2 the mass of the sun at the radius of the sun apart.) d) What are the possible errors...

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