Mechanics | Relativity Answers

a) A gas is contained in a vessel of volume 0.02 m3 at a pressure of 300 kPa and a temperature of
15°C. The gas is passed into a vessel of volume 0.015 m3

. Determine to what temperature the

gas must be cooled for the pressure to remain the same
b) The piston of an air compressor compresses air to 1⁄4 of its original volume during its stroke.
Determine the final pressure of the air if the original pressure is 100 kPa, assuming an isothermal
change. The characteristic gas constant for air is 287 Jkg−1K
−1

A sliding mechanism in a machine moves with a velocity given by the expression:
v=7t+0.8t mm/s
calculate the displacement that occurs between t=2 and t=4 seconds

A solid lead sphere of volume 0.5 m³ is lowered to a depth in the ocean where the water pressure is equal to 2*10^7 N/M² . The bulk modulus of lead is equal to 7.7*10^9 N/M² . What is the change in volume of the sphere??

How long does it take to fill a swimming pool 9•5mx21•0m whose average depth is 2•5m of water that flows from 1•9cm diameter hose at a speed of 1•5m/s

A ball is thrown directly downward with an initial speed of 8 m/sec, from a height of 30 m. After what time interval does it strike the ground?

The position of a particle moving in a straight line is given by x = 3 + 4t + 3t2, where x is in
metre and time is in second. Find the values of the following physical quantities for the particle
at t = 2s.

Determine the velocity of block A when block B is moving downward with a speed of 10 m/s.

Why does second law of thermodynamics require different temperature for work done?

A blue lab cart is traveling west on a track
when it collides with and sticks to a red lab
cart traveling east. The magnitude of the
momentum of the blue cart before the collision
is 2.0 kilogram • meters per second, and the
magnitude of the momentum of the red cart before
the collision is 3.0 kilogram • meters per second.
The magnitude of the total momentum of the
two carts after the collision is

an electric fan heater contains an electric heater and a fan driven by an electric motor
1. describe the energry transferes that takes place in the fan heater when it is operating normaly
2.with reference to the fan heater, explain what is meant by useful energry and wasted energy