Calculate the nuclear mass density in `_92U^238` Take `R_0=1.5 fermi and mass of each nucelar = `1.6xx10^(-27)`kg.

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 .

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.

The unit of length convenient on the nuclear scale is a fermi : 1 f = 10^(-15) m. Nuclear sizes obey roughly the following empirical relation : r = r_0A^(1/3) where r is the radius of the nucleus, A its mass number, and r_0 is a constant equal to about, 1.2 f. Show that the rule implies that nuclear mass density is nearly constant for different nuclei. Estimate the mass density of sodium nucleus. Compare it with the average mass density of a sodium atom obtained in Exercise. 2.27.

Calculate the root mean square speed of gas particles each of mass 5xx10^(-17) kg at NTP(K_B = 1.38xx10^(-23) JK^(-1)]

Calculate the moment of inertia of earth about its diamter taking mass 10^25 kg and diameter 12800km.