My Solar System Essay Example

your work below. Verify your result with your teacher before going on. Q: use your equation from above to derive an equation for the speed of an object in a circular orbit.

Using this equation and your value for G, solve for the speed required for a third body to be in a circular orbit with a radius of 100.

Change them back, then set Body g's mass to 0. 001 , its x position to 1 00, its y velocity to your value from Q, and its y position and x velocity to O. Sing your equation from Q, the fact that speed is the distance over time, and the equation for the circumference of a circle, derive an equation for the period of an object in a circular orbit. Show all of your work below.

Show all of your work below. It is easier to measure the period if you click Stop just as a Body completes an orbit. Activity 5: Add velocity to Body 3 in increments of 10 until it reaches a maximum radius of about 400 on the left side of its orbit. Change the velocity in increments of 1 until it is as close to 400 as you can get it. Write the velocity that achieved 400 below.

Max Velocity Max Kinetic Energy Max Potential Energy Momentum Max Force Max Total Energy Max Angular IQ 2: Use conservation of angular momentum and the equation for the angular momentum of a particle to predict the speed of Body 3 at passion. Show all of your work below.

Both bodies orbit their common center of mass.

In this activity we will set up a new

2-body system where each body orbits in a circle about the center of mass as shown in the figure at the top of the next page. The radius of each orbit is equal to the distance of that body to the center of mass. Body 1 will have a mass of 400 (m 1) and Body 2 will have a mass of 100 (mm). They will be separated by a distance of 200.

Calculate the distance ml is from the center of mass. This distance will be the radius of the smaller circular orbit shown at right. What is the radius of the larger orbit?

Knowing this, which body will have the greatest speed? Which body will have the greatest angular speed? Explain. Draw a free-body diagram of ml in its circular orbit below. Using Newton's Second Law, the Law of Gravity, and the equation for centripetal acceleration, rive an expression for the speed of ml. Use your equation to calculate the speed of ml . Show all of your work below. Hint: The quantity r used in the gravity equation is the distance between the 2 objects.

The quantity r in the centripetal acceleration equation is the radius of the circle. These two quantities are NOT the same when the mass of body 2 is not insignificant. Derive an equation for the speed of mm using the same method used for ml . Using this equation, calculate m's speed.

Using the fact that an object on an escape trajectory has zero total energy, use conservation of energy to derive an equation for escape velocity for an initially stationary object.

Use your equation to determine its x velocity

so that it escapes body 1 . Show your work below. Activity 8: Conservation of energy can be used to predict the maximum separation of 2 objects moving apart with some initial velocity. Set body Xi's mass to 500, its x position to 50, and its x velocity to 210.

Set its y position and y velocity to zero. Set body g's mass to 500, its x position to -50, and its x velocity to -210. Set its y position and y velocity to zero. Use conservation of energy to predict their greatest separation.