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)

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 electron in a hydrogen atom revolves with a velocity 4.13 times10^16 rad/sec in an orbit of radius 5.29 times10^11 m. Calculate its angular momentum (given.m =9.11 times10^(-31) kg.)

A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence? Mass of the satellite = 200 kg, mass of the earth = 6.0 xx10^24 kg, radius of the earth = 6.4 xx10^6 m, G = 6.67 x 10^-11 N m^2 kg ^-2 .

Calculate the amount of work done for a wire which area of cross section 10^-6m^2 and length 1.5m to increase the length 4 xx 10^-3 m. Young's modules of elasticity 2 xx 10^(11N//m^2) .

A spaceship is stationed on Wlars. How much energy must be expended on the spaceship to launch it out of the solar system? Mass of the space ship = 1000 kg, mass of the Sun = 2 xx 10^30 kg, mass of mars = 6.4 xx-10^23 kg, radius of mars = 3395 km, radius of the orbit of mars = 2.28 x 10^8 kg, G= 6.67 xx 10^-11 m^2kg-^2 .

A rocket is fired from the earth towards the sun. At what distance form the earth's centre is the gravitational force on the rocket zero? Mass of the sun = 2 xx 10^20 kg and mass of earth = 6 xx 10^24 kg and orbital radius 1.5 xx 10^-8 km.

A steel has a radius of 10mm and a length of 1.0m. A 100kN force stretches it along its length. Calculate stress and strain on the rod. Young's modulus of steel is 2.0 xx 10^11 Nm^-2 .

Rate constant K for a first order reaction has been found to be 2.54xx10^(-3)sec^(-1) Calculate its 3//4 the life (log 4=0.6020)

Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth = 6 xx 10^24 kg and mass of the Sun = 2 xx 10^30kg . The average distance between the two is 1.5 xx 10^11 m .