Particles in orbit

The solar wind is a continuous stream of particles, mostly protons and electrons, moving away from the Sun. When the particles encounter Earth's upper atmosphere, they are moving at speeds of several hundred km/s. If such a particle reaches Earth's upper atmosphere with a speed of 92 km/s, how fast was it moving when it crossed Mercury's orbit at a distance of 5.8 ´ 107 km from the Sun? (HINT: Assume that the particles are slowed by the Sun's gravitational field as they move away from the Sun and ignore any increase the particles experience from the Earth's gravitational force.) Please show all work. Thanks.

Gravitational acceleration of a spacecraft in orbit around Jupiter.

A spacecraft is in orbit around Jupiter. The readius of the orbit is 3.0 times the radius of Jupiter (RJupiter = 71,500 km). The gravitational acceleration at the surface of Jupiter (the surface is defined as the above radius) is 23 m/s2. Without using any other information about Jupiter, what is the period of the spacecraft's orbit? Please show all work, thanks.

Concepts clarification

Clarify: uniform Circular Motion Potential Energry Work Kinetic Energy Conservation of Engery Work by External Forces Newtons Laws 1,2,3 I need your help on what are the main things i would need to know from those areas in-order to solve relating problems

how to make a balloon in a jet balloon lab make a return trip

I take principles of Physics and for the last two days I have been trying to do a lab where I have to develope a design with 6 yards of strings conected to two poles and pulled taught, as many balloons as necessary, straws, tape, and paper clips. The set up of the lab is a sting stretched taught across the room in the first lab the balloon is attached to a straw with tape and the string is threaded through the straw. The balloon is inflated but not tied. When the balloon and the string is ready the neck of the balloon is realesed and the balloon shoots across from pole A to pole B. That part of the experiment has already been determined. The experiment is extended in that the next step is to... click for more

Fuel Economy and Second Law of Thermodynamics

The Otto-cycle of a certain car has a compression ratio r=8.5. The fuel economy rating of this car is 25 miles per gallon at 105km/h. Gasoline has a heat of combustion of 4.60x10^7J/kg, and its density is 740kg/m^3.

a> At 105km/h, what is the rate of gasoline consumption in L/h?

b> What is the theoretical efficiency of the engine? Use γ=1.40

c> How much power is the engine producing at 105km/h? Assume that the engine is operating at its theoretical efficiency, and give your answer in watts and in horsepower. By comparison, the engine of the car has a maximum power of 236hp.

I think I have part b> using the termal efficiency formula for the ... click for more