Uranus has a mass of 8.68 1025 kg and a radius of 2.56 107 m. Assume...

Uranus has a mass of 8.68 1025 kg and a radius of 2.56 107 m. Assume it is a uniform solid sphere. The distance of Uranus from the Sun is 2.87 1012 m. (Assume Uranus completes a single rotation in 17.3 hours and orbits the Sun once every 3.08 104 Earth days.) (a) What is the rotational kinetic energy of Uranus on its axis? (b) What is the rotational kinetic energy of Uranus in its orbit around the Sun?

Expert Solution

genius_generous answered 2 years ago

The mass of Uranus is 8.68 x 1025 kg. That’s 14.536 times more than the mass...

The mass of Uranus is 8.68 x 1025 kg. That’s 14.536 times more than the mass of Earth. What is the difference between the forces due to Uranus on a 1.0 kg mass located at the near side of Titania and at the far side of Titania? Titania has a mean radius of 789 km and a mean orbital radius about Uranus of 436,300 km. (Enter the magnitude in newtons.) Compare this difference to the difference for Earth due to...

A planet of mass 6 × 1025 kg is in a circular orbit of radius 4...

A planet of mass 6 × 1025 kg is in a circular orbit of radius 4 × 1011 m around a star. The star exerts a force on the planet of constant magnitude 1.8 × 1023 N. The speed of the planet is 3.4 × 104 m/s. (a) In half a "year" the planet goes half way around the star. What is the distance that the planet travels along the semicircle? (b) During this half "year", how much work is...

A wheel has a mass of 0.5 kg and a radius of 0.25 m. It rolls...

A wheel has a mass of 0.5 kg and a radius of 0.25 m. It rolls such that the center of mass of the wheel has a velocity of 10 m/s. a) Calculate the angular velocity of the wheel. b) Calculate the translational kinetic energy of the wheel. c) Calculate the rotational kinetic energy of the wheel. d) Calculate the total kinetic energy of the wheel by summing the two kinetic energies

A solid cylinder has a mass of 2.50 kg and a radius of 0.100 m. It...

A solid cylinder has a mass of 2.50 kg and a radius of 0.100 m. It is released from rest on a ramp tilted at 8.00° from horizontal, and it rolls without slipping down the ramp until it has moved a vertical distance of 0.350 m. What is the angular speed of the cylinder when it reaches the bottom? What is the magnitude of the angular momentum of the cylinder when it reaches the bottom?

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...

A disk with mass m = 11.8 kg and radius R = 0.31 m begins at...

A disk with mass m = 11.8 kg and radius R = 0.31 m begins at rest and accelerates uniformly for t = 17.2 s, to a final angular speed of ω = 31 rad/s. 1.What is the angular acceleration of the disk? 2. What is the angular displacement over the 17.2 s? 3. What is the moment of inertia of the disk? 4. What is the change in rotational energy of the disk?

A 2.20-m radius playground merry-go-round has a mass of 101.5 kg and is rotating with an...

A 2.20-m radius playground merry-go-round has a mass of 101.5 kg and is rotating with an angular velocity of 0.91 rev/s. What is its angular velocity after a 38.4-kg child gets onto it by grabbing its outer edge? The child is initially at rest. Express your answer in revs/s.

a 4.00 kg mass is moving in a circular path of radius 3.20 m with a...

a 4.00 kg mass is moving in a circular path of radius 3.20 m with a constant linear speed of 6.29 m/s. The radial force on the mass is

A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies...

A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 313 N at the edge of the disk on the +x-axis, 2) a force 313 N at the edge of the disk on the –y-axis, and 3) a force 313 N acts at the edge of the disk at an angle θ =...

A uniform disk with mass m = 9.28 kg and radius R = 1.42 m lies...

A uniform disk with mass m = 9.28 kg and radius R = 1.42 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 345 N at the edge of the disk on the +x-axis, 2) a force 345 N at the edge of the disk on the –y-axis, and 3) a force 345 N acts at the edge of the disk at an angle θ =...

Question