Question

In: Physics

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 done on the planet by the gravitational force acting on the planet?

(c) What is the change in kinetic energy of the planet?

(d) What is the magnitude of the change of momentum of the planet?

Solutions

Expert Solution


Related Solutions

A spaceship of mass ? is on a circular orbit around a planet of mass ?,...
A spaceship of mass ? is on a circular orbit around a planet of mass ?, and is moving with constant speed ?0. (a) What is the radius of the orbit of the spaceship? A sudden explosion tears the spaceship into two pieces of equal mass. Piece 1 leaves the explosion with speed 4?0/5 with its velocity is in the same direction of the velocity of the spaceship before the explosion. As ? ≪ ?, the gravitational attraction between the...
A satellite of mass 100 kg is in circular orbit about planet Uzaz, which has a...
A satellite of mass 100 kg is in circular orbit about planet Uzaz, which has a mass M and radius R, at an altitude (above the surface) h. (a) (2 points) Express the linear speed v of the satellite in terms of the given variables and the universal gravitational constant. (b) (3 points) Suppose that if h = 1 × 104 km, the period of the orbit is T = 11 hours. If Uzaz has a mass of 7.0 ×...
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...
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 has a mass of 6189 kg and is in a circular orbit 4.84 ×...
A satellite has a mass of 6189 kg and is in a circular orbit 4.84 × 105 m above the surface of a planet. The period of the orbit is 2.4 hours. The radius of the planet is 4.80 × 106 m. What would be the true weight of the satellite if it were at rest on the planet’s surface? W = ?
A satellite has a mass of 6255 kg and is in a circular orbit 4.30 ×...
A satellite has a mass of 6255 kg and is in a circular orbit 4.30 × 105 m above the surface of a planet. The period of the orbit is 2.2 hours. The radius of the planet is 4.49 × 106 m. What would be the true weight of the satellite if it were at rest on the planet’s surface?
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?
A satellite of mass 1,500 kg is placed in a circular Earth orbit at a height,...
A satellite of mass 1,500 kg is placed in a circular Earth orbit at a height, h, above the surface. It is launched from Treasure Island in the SF Bay at 37 degrees latitude (north of the equator). 2465.98 10 , 6.37 10EarthEarthMxkgRx==ma) Derive Kepler’s Thrid Law from Newton’s Universal Law of gravity. b) If the orbital period of the satellite is 12 hrs, find the distance h above the Earth. c) What is the minimum energy required to put...
Planet X has a mass of 6 times the mass of Earth, and its radius is...
Planet X has a mass of 6 times the mass of Earth, and its radius is 8 times the radius of Earth. A rocket takes off from Planet X's surface, with a velocity that is 1/3 vesc, where vesc is the escape velocity of the planet. How high from the center of Planet X does the rocket reach in meters?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT