What is one of Kepler's laws of planetary motion?
1 answer:
The Kepler laws of planetary motion are:
1) The planets revolve around the Sun following elliptical orbits, in which the Sun occupies one of the two focii
2) A line segment connecting the Sun with the center of each planet sweeps out equal areas in equal intervals of time --> this means that the speed of the planet changes according to its distance from the Sun: the closer to the Sun, the faster the planet
3) The square of the orbital period of the planets is proportional to the cube of the semi-major axis of the orbit. In formula
and the constant in the equation has the same value for every planet orbiting around the Sun.
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Answer:
91.87 m/s
Explanation:
<u>Given:</u>
- x = initial distance of the electron from the proton = 6 cm = 0.06 m
- y = initial distance of the electron from the proton = 3 cm = 0.03 m
- u = initial velocity of the electron = 0 m/s
<u>Assume:</u>
- m = mass of an electron =
- v = final velocity of the electron
- e = magnitude of charge on an electron =
- p = magnitude of charge on a proton =
We know that only only electric field due to proton causes to move from a distance of 6 cm from proton to 3 cm distance from it. This means the electric force force does work on the electron to move it from one initial position to the final position which is equal to the change in potential energy of the electron due to proton.
Now, according to the work-energy theorem, the total work done by the electric force on the electron due to proton is equal to the kinetic energy change in it.
Hence, when the electron is at a distance of c cm from the proton, it moves with a velocity of 91.87 m/s.