Convert a velocity of 72 kmh^-1 into ms^-1 with the help of dimensional analysis.

Write down the kinematic equations for angular motion.

Consider two trains A and B moving along parallel tracks with the same velocity in the same direction. Let the velocity of each train be 50 km h^-1 due east. Calculate the relative velocities of the trains.

Show that impulse is the change of momentum.

Let the two springs A and B be such that k_A > k_B, On which spring will more work has to be done if they are stretched by the same force?

State principle of moments

The following photographs are taken from the recent lunar eclipse which occurred on January 31, 2018. Is it possible to prove that Earth is a sphere from these photographs?

Mercury has an angle of contact equal to 140° with soda lime glass. A narrow tube of radius 2 mm, made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube relative to the liquid surface outside?. Surface tension of mercury T = 0.456 N m^-1; Density of mercury \(\rho\) = 13.6\(\times\)10³ kg m^-3

A steam engine boiler is maintained at 250°C and water is converted into steam. This steam is used to do work and heat is ejected to the surrounding air at temperature 300K. Calculate the maximum efficiency it can have?

Write down the kinetic energy and total energy expressions in terms of linear momentum, For one-dimensional case.