lo, one of the satellite's of Jupiter, has an orbital period of 1.769 days and the radius of the orbit is `4.22 xx 10^8` m. Show that the mass of Jupiter is about one-thousandth that of the sun

The orbital radius of earth in 1.49 xx 10^13 cm. Calculate the mass of sun.

How will you ‘weigh the sun', that is estimate its mass? The mean orbital radius of the earth around the sun is 1.5 xx10^8 km.

A satellite has mass m speed v and radius of circular orbit r. The force F acting on it is :

The Marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about 1.1 xx 10^8 Pa. A steel ball of initial volume 0.32 m3 is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?

As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth’s gravity at the site of this satellite? (Take the potential energy at infinity to be zero). Mass of the earth = 6.0 xx 10^24 kg, radius = 6400 km

The transmitting antenna at the top of a tower has a height of 32m. The height of the receiving antenna is 50m. What is the maximum distance between them for satisfactory LOS mode Communication? Radius of earth is 6.4xx10^3km .

Planet Mars has two moons- Phobos and Deimos. Phobos has a period of 7 hours 39 minutes and orbital radius of 9.4 xx 10^3 km. Calculate the mass of Mars. (G = 6.67 x 10^11 Nm^2 kg-^2)

The cylindrical tube of a spray pump has a cross-section of 8.0 cm2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min-^1 , what is the speed of ejection of the liquid through the holes?