Can someone please describe thekineticenergy of an air molecule at -273 °C. I understand thekinetictheory that all matter is made up of moving molecules however, at -273 C, does matter just stop? Thank you!

ThekineticEnergy (K) of a moving object varies jointly with its mass (m) and the square of its velocity (v). If an object weighing 90 kilograms and moving with a velocity of 20 meters per second has a kineticenergy of 4500 Joules, find its kineticenergy when the velocity is 32 meters per second.

The rms speed of the molecules in 1.9 g of hydrogen gas is 1800 m/s .
a) What is the total translational kineticenergy of the gas molecules?
b) What is thethermal energy of the gas?
c) 500 J of work are done to compress the gas while, in the same process, 1400 J of heat energy are transferred from the gas to the env

A solid sphere and a cylinder of the same mass and radius roll without slipping at the same speed. It is correct to say that the total kineticenergy of the solid sphere is
more than the total kineticenergy of the cylinder.
less than the total kineticenergy of the cylinder.
equal to the total kineticenergy of

Please see the attached file.
I need an explanation of how one gets from the top equation (with v)s given by to the bottom equation where v is given by l*(theta)dot. I do not need an explanation of the double pendulum.
Derive thekineticenergy equation of the double pendulum in Lagrangian.

(a) Show that thekineticenergy of a nonrelativistic particle can be written in terms of its momentum as KE = P2 (squared)/2m. (b) Use the results of (a) to findthe minimum kineticenergy of a proton confined within a nucleus having a diameter of 1.0 x 10-15 m.

A 47.0-g golf ball is driven from the tee with an initial speed of 52.0 m/s and rises to a height of 24.6 m. (a) Neglect air resistance and determine thekineticenergy of the ball at its highest point. (b) What is its speed when it is 8.0 m below its highest point?

It takes 4.186 of energy to raise the temperature of 1.00 of water by 1.00 degree.
How fast would a 2.00 kg cricket have to jump to have that much kineticenergy?
How fast would a 4.00 kg cricket have to jump to have the same amount of kineticenergy?
v = ? m/s

In the 1950s, an experimental train that had a mass of 2.10 x10^4 kg was powered across a level track by a jet engine that produced a thrust of 5.45 x 10^5 N for a distance of 509 m. Assume that air resistance is negligible.
(a) Findthe work done on the train.
J
(b) Findthe change in kineticenergy.
J
(c) Findthe