To determine which object has the greatest acceleration, you would use the formula:
acceleration = (Final Velocity - Initial Velocity) / Time
Just plug-in values for what you have and see which one has the greatest acceleration. If you're given velocity-time graphs, then the one with the steepest slope would have the greatest acceleration.
Answer:
Explanation: The planet average distance = 42300km
Kepler's 3rd Law also known as the Harmonic Law states that;
for each planet orbitting the sun, its side real period squared divided by the cube of the semi-major axis of the orbit is a constant.
A planet, mass m, orbits the sun, mass M, in a circle of radius r and a period t. The net force on the planet is a centripetal force, and is caused the force of gravity between the sun and the planet.
Please find the attached file for the solution
Answer:
1. The bird close to the center
2. 4/25 of the original force.
Explanation:
1. Tangential velocity is v=w*d (in m/s), where w is the rotational speed, commonly denoted as the letter omega (in radians per second). d is the distance from the center of the rotating object to the position of where you would like to calculate the velocity (in meters).
As we can note, the furthest from the center we are calculating the velovity the higher it is, because the rotational velocity is not changing but the distance of the object with respect to the center is. If v=w*d, then the lower the d (distance) the lower the tangential velocity.
2. Take a look at the picture:
We have the basic equation for the gravitational force.
We have to forces: Fg1, which is the original force, and Fg2, the force when the mass and the distance changes.
If we consider that mass 2 didn't change (m2'=m2), mass 1 is four times its original (m1'=4*m1) and distance is 5 times the original (r'=5*r), then next step is just plugging it into the equation for Fg2.
Dividing the original force Fg1 by the new force Fg2 (notice you can just as well do the inverse, Fg2 divided by Fg1) gives us the relation between the forces, cancelling all the variables and being left only with a simple fraction!