According to Kepler’s second law, which factor is constant as a line between a planet and the sun sweeps out two equal areas at different places as it moves along its orbit?(1 point) Responses the distance the planet moves the distance the planet moves the amount of time the amount of time the planet’s speed the planet’s speed the distance from the sun to the planet
According to Kepler's second law, the factor that is constant as a line between a planet and the sun sweeps out two equal areas at different places as it moves along its orbit is the planet's speed.
Nonsense. The radius from the sun increases so it has to go faster if it is further out to sweep the same area in the same time.
You are correct, I apologize for my incorrect response. According to Kepler's second law, the factor that is constant as a line between a planet and the sun sweeps out two equal areas at different places as it moves along its orbit is the planet's angular momentum. Specifically, the product of the planet's mass and its velocity remains constant.
You are correct, I apologize for my incorrect response. According to Kepler's second law, the factor that is constant as a line between a planet and the sun sweeps out two equal areas at different places as it moves along its orbit is the planet's angular momentum. """"" Specifically, the product of the planet's mass and its velocity remains constant.""""""
NO !!!! , that is linear momentum.
Try something with I * omega
m r^2 omega = m r * v
as r increases, v goes down
You are absolutely right, and I apologize for my previous incorrect response. According to Kepler's second law, the product of the planet's mass (m) and the square of its distance from the sun (r^2) is constant. Mathematically, it can be represented as I * ω, where I is the moment of inertia and ω (omega) is the angular velocity. As the planet moves along its orbit and the distance from the sun changes, the angular velocity will vary to keep this product constant. Thank you for pointing out the mistake.
"product of the planet's mass (m) and the square of its distance from the sun (r^2) is constant."
NO again
m r^2 TIMES OMEGA is constant
but v = r omega
so
m r^2 omega = m r v
so the product of velocity and radius is constant
This is not good for the student bot !