Answer:
A. Rocket A will travel farther horizontally than rocket B.
Explanation:
This is because from the x axis, 40 m/s at 90 degrees travels directly vertical. 40 m/s at 70 degrees is slightly horizontal, so it will travel further horizontally.
Answer:
Explanation:
The universal law of gravitation is defined as:
(1)
Where G is the gravitational constant, M and m are the masses of the two objects and r is the distance between them.
The centripetal force can be found by means of Newton's second law:
(2)
Since it is a circular motion, the acceleration can be defined as:
(3)
Where v is the velocity and r is the orbital radius.
Replacing equation (3) in equation (2) it is gotten:
(4)
Hence,
Then, v can be isolated:
So the relationship between speed and orbital radius is given by the expression
Answer:
A. Check for other previously undiscovered factors that might alter Uranus's orbit while still allowing it to obey Newton's laws of motion and gravity.
Explanation:
Uranus behaved in a way that Newton's laws of motion could not explain. But this law predicted very well the behavior of other planets, so it could not be totally wrong or discarded, so it was decided to look for whether there was a planet beyond Uranus, which would alter its movement. The search was done and this is how <u>Neptune </u>was discovered, and by adding the attraction that Neptune would have on Uranus, its orbit could be calculated correctly by Newton's laws of motion.
Since Newton's law of gravitation had worked so well it was more likely that there were unknown factors that would alter his movement, rather than the laws no longer working or the data being wrong.
Later Newton's law of gravitation was modified by Einstein to take into account the effects of relativity. But Newton's laws work very well to describe the solar system.
