A car accelerates from rest at a rate of 6.50 m/s2. Determine thevelocity of the car at t = 4.00 s.

Two planets A and B, where B has twice the mass of A, orbit the Sun in elliptical orbits. The semi-major axis of the elliptical

lozanna [386]

Answer:

2.83

Explanation:

Kepler's discovered that the square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit, that is called Kepler's third law of planet motion and can be expressed as:

$T=\frac{2\pi a^{\frac{3}{2}}}{\sqrt{GM}}$ (1)

with T the orbital period, M the mass of the sun, G the Cavendish constant and a the semi major axis of the elliptical orbit of the planet. By (1) we can see that orbital period is independent of the mass of the planet and depends of the semi major axis, rearranging (1):

$\frac{T}{a^{\frac{3}{2}}}=\frac{2\pi}{\sqrt{GM}}$

$\frac{T^{2}}{a^{3}}=(\frac{2\pi }{\sqrt{GM}})^2$ (2)

Because in the right side of the equation (2) we have only constant quantities, that implies the ratio $\frac{T^{2}}{a^{3}}$ is constant for all the planets orbiting the same sun, so we can said that:

$\frac{T_{A}^{2}}{a_{A}^{3}}=\frac{T_{B}^{2}}{a_{B}^{3}}$

$\frac{T_{B}^{2}}{T_{A}^{2}}=\frac{a_{B}^{3}}{a_{A}^{3}}$

$\frac{T_{B}}{T_{A}}=\sqrt{\frac{a_{B}^{3}}{a_{A}^{3}}}=\sqrt{\frac{(2a_{A})^{3}}{a_{A}^{3}}}$

$\frac{T_{B}}{T_{A}}=\sqrt{\frac{2^3}{1}}=2.83$

6 0

3 years ago

Read 2 more answers

What is the wavelength of violet light that has a frequency of 7.5x10^14

Crank

Λ= V/f
but change it to represent the speed of light, c 
λ= c/f 
c = 3.00 x 10^8 m/s 
Plug in your given info and solve for λ(wavelength) 
λ= 3.00 x 10^8 m/s / 7.5 x 10^14 Hz
(3.00 x 10^8) / (7.5 x 10^14) = 300,000,000 / 750,000,000,000,000 = 0.0000004
Hope this helps :)

6 0

3 years ago

Read 2 more answers

Is 250 000 miles from the earth to the moon" is a qualitative Observation TRUE Or false

lys-0071 [83]

Answer:

True

Explanation:

3 0

3 years ago

What is the resistance of a nichrome wire at 0.0 âc if its resistance is 100.00 Ï at 11.5 âc? express your answer using four sig

Yakvenalex [24]

30 years times the number of dogs

4 0

3 years ago

It is believed that increasing amounts of greenhouse gases in the atmosphere will result in

Jobisdone [24]

"Belief" is not involved.

Choice-A is the correct answer. Except that it's not "... will result in ...". It's already happening.

The people who have been keeping records of temperatures at a thousand places around the world, for the past hundred years, do not "believe". They know that average global temperatures are increasing, and have been increasing steadily for a couple of Centuries now.

Working from hypotheses, models, observations, and proven laws of nature, the global scientific community are convinced that increasing amounts of greenhouse gases in the atmosphere, driven by human activity, are the cause of the trend in average global temperatures.

Yes, you can find published researchers who aren't so sure, and who disagree with this conclusion. The scientific community is never 100% unanimous. There were reasonable investigators and scientific observers who disagreed with Galileo, Newton, Faraday, Maxwell, Hawking and Einstein, in their time.

But the voices that dispute human-caused climate change in the form of global warming are few, and they're becoming fewer as time goes on. Today, their reputation sits just a few notches above that of the Flat-Earthers, and it's continuing to sag further.

If we are to do what has to be done, in time to bring about the needed effect, it can't sag fast enough.

8 0

3 years ago