Planet CHUCHU has an elliptical orbit around its sun. Data indicates that the planet has a speed of 30 km/s during perihelion with a distance of 1.52 E 8 km from the center of the planet to its sun. Find its speed during aphelion at a distance of 1.54 E 8 km

A satellite of mass mi rotates around Planet X with mass m2 in a circular orbit. The magnitude of the gravitational force is F = G™m, where G is a positive constant and r is the distance between the two masses. (i) What speed must the satellite have in order to orbit at a radius R? (ii) If at time t = 0, the satellite uses thrusters to move from the position (r = R, 0 = 0) to (r = 2R, 0 = 90°), how much work is done by gravity along the satellite's path? aw R m2 pplication

The mass and radius of a planet are M and R, respectively. A satellite of mass m orbits the planet in an elliptical orbit. At its closest position, the altitude of the satellite is 0.5R and its velocity is v. What is the speed of the satellite (in terms of v) at its farthest position, where its altitude is 2R? 0.25v 0.55v 0.45v 0.30v 0.40v 0.60v 0.50v 0.35v

(a) What is the escape speed on a spherical asteroid whose radius is 274 km and whose gravitational acceleration at the surface is 0.444 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 311 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 289.4 km above the surface?

(a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.20 cm. m/s

A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant speed of v = 1.1 × 104 m/s. The mass of the planet is M = 6.04 × 1024 kg. The mass of the satellite is m = 1.2 × 103 kg. First, find an expression for the gravitational potential energy PE in terms of G, M, m, and R.  a)Calculate the value of PE in joules.  b)Enter an expression for the total energy E of the satellite in terms of m and v.  c)Calculate the value of the total energy E in joules.

3. You are a person with incredible arm strength. You throw a ball of mass m = 2 kg horizontally with initialy velocity vo. (a) How quickly would you have to throw the ball so that the ball enters a perfectly circular orbit around Earth? (Assume your height is much less than Earth's radius). (b) How long would the ball take to complete one orbit? (c) Let's say you throw the ball with 1.2x the speed found in (a). What is the semi-major axis of the new elliptical orbit of the ball? (d) How long would it take for the ball to complete its new orbital jour- ney?

(a) What is the escape speed on a spherical asteroid whose radius is 803 km and whose gravitational acceleration at the surface is 1.75 m/s2? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 1330 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 1811 km above the surface?

(a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls separated by a center-to-center distance of 19.0 cm. (b) Assuming that they are both initially at rest relative to each other in deep space, use conservation of energy to find how fast (in m/s) will they each be traveling upon impact. Each sphere has a radius of 5.50 cm. m/s

A piece of space debris is travelling in an elliptical orbit around a planet. At its closest point to the planet, the debris is travelling at 5000ms. When the debris is 10000km from the planet, it travels at 5000kmhr. How close does the debris get to the planet in its orbit?