Determining final velocity using initial velocity and displacements in a ramp question.

A 5 kg bowling ball is rolled back to the bowler over a ramp system. If the ball is given an initial velocity of 0.6 m/s at its starting point's height which is 100 cm, what is the balls velocity at its ending point at 40 cm, after going over a height of 45cm first? So the ball leaves the first position goes through a dip up to 45 cm and ends at 40 cm.

Understanding planetary characteristics. Graphics attached in gif format.

What is the planet closest to the sun that you can see to the west right after the sun sets?

Calculating efficiency.

Water is 2 0m above an outlet pipe. The velocity is 16.1 ms-1, what is the efficiency?

Finding the minimum power required in an electricity generating station.

An electricity generating station has a rated output of 300 megawatts. Given that the station heat rate is 12 000kJ/kW-h, and the coal used has a heat value of 23 000kJ/kg, find the minimum possible belt-drive power required for the bunker coal conveyor in order to keep the boiler supplied when the station is on full load. The conveyor is to rise 15 m at an inclination of 18 degrees to reach the bunkers. The belt runs at 3.5 m/s and the mass of belt used in 7.5kg/m.

Kinetic theory : The mean free path of molecules.

In an experiment, the viscosity of the gas was found to be 2.25 x 10^-4 CGS units. The RMS velocity of the molecules is 4.5 x 10^4 cm/s. The density of the gas is 1 gm per liter. Calculate the mean free path of the molecules.