THIS QUESTION IS BASED ON CONCEPT OF
1. GRAVITATIONAL FORCE
2. CENTRIPETAL FORCE
3. ORBITAL VELOCITY
4. TIME PERIOD
5. MATHEMATICAL SIMPLIFICATION
THE DETAILED SOLUTION IS DESCRIBED BELOW
THANKS
Let a satellite orbits a planet of mass M at circular orbit of radius R. Find...
A satellite of mass m is in a circular orbit of radius r about a planet of mass M. The period of the satellite's orbit is T. A second satellite of mass 2m is in a circular orbit of radius 2r around the same planet. The period of orbit for the second satellite is 2T 8T O2T OT O 4T
A small satellite of mass m is in circular orbit of radius r around a planet of mass M and radius R, where M>>m. a) For full marks, derive the potential, kinetic, and total energy of the satellite in terms of G, M, m, and r assuming that the potential energy is zero at r=infinity. b) What is the minimum amount of energy that the booster rockets must provide for the satellite to escape? c) Now we take into accouny...
The planet shown has a mass of M, and the satellite is in a circular orbit of radius r. a) In terms of M, r, and the universal gravitational constant G, what is the period Tof the satellite? Derive the formula. b) By what factor would the period change if the mass of the planet doubled? c) By what factor would the period change if the radius of the orbit doubled?
5) A satellite in a circular orbit of radius R around planet X has an orbital period T. If Planet X had one-fourth as much mass, the orbital period of this satellite in an orbit of the same radius would be: A) 2T B) T square root(2) C) T/4 D) T/2 E) 4
A satellite of mass m is in a circular orbit of radius R2 around a spherical planet of radius R1 made of a material with density ρ. ( R2 is measured from the center of the planet, not its surface.) Use G for the universal gravitational constant.A) Find the kinetic energy of this satellite, KExpress the satellite's kinetic energy in terms of G, m, π, R1, R2, and ρ.B) Find U, the gravitational potential energy of the satellite. Take the gravitational potential...
A satellite is in a circular orbit around the Earth at an altitude of 2.52 106 m. (a) Find the period of the orbit. (Hint: Modify Kepler's third law: T2 =(4π^2/GMs)r^3 so it is suitable for objects orbiting the Earth rather than the Sun. The radius of the Earth is 6.38 106 m, and the mass of the Earth is 5.98 1024 kg.) _______________h (b) Find the speed of the satellite. _________km/s (c) Find the acceleration of the satellite....
10. Two satellites are in circular orbits around a planet that has radius 9.00 × 106 m. One satellite has mass 68.0 kg, orbital radius 5.00 × 107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 × 107 m. what is the orbital spced of this second satel!lite? 1 International Space Station. The International Space Station makes 15.65 revolutions per day in its orbit around the earth. Assuming a circular orbit,...
Problem 3 The planet shown has a mass of M, and the satellite is in a circular orbit of radius r a) In terms of M, r, and the universal gravitational constant G, what is the period T of the satellite? Derive the formula b) By what factor would the period change if the mass of the planet doubled? c) By what factor would the period change if the radius of the orbit doubled?
a satellite orbits around this planet at a speed of 930m/s what is its radius of orbit r (in km)? what is the satellite’s height (in km) above the surface of the planet? LTE @ 10 97% TEW Done 5:25 AM app.varafy.com satellite The figure shows a satellite orbitig around a planet in a uniform circular motion. To solve such problems, spply Newton's second law: Fnet = ma What is the force exerted on the satellite by the planet? Write...
Two moons orbit a planet in circular orbits. The first has an orbital radius of r1 and a period of T1. The second has twice the orbit radius as the first. Find the period of the second planet. 4.8T1 1.4T1 2.8T1 3.8T1