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Shtirlitz [24]
2 years ago
5

A planet's moon travels in an approximately circular orbit of radius 8.6 107 m with a period of 6 h 25 min. Calculate the mass o

f the planet from this information.
Physics
1 answer:
DerKrebs [107]2 years ago
8 0

Answer:

m v^2 / R = G M m / R^2       gravitational attraction = centripetal force

M = v^2 R / G       solving for M

period = 6 h 25 min = (6 * 3600 + 25 * 60) sec = 23,100 sec = T

v = 2 pi R / T

M = 4 pi^2 R^3 / (G T^2)

M = 39.5 * (8.6E7)^3 / (6.67E-11 * 2.31E4^2)

M = 39.5 * 636 / (6.67 * 5.34) * 10^24

M = 7.05 * 10^26 kg

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Choice A is the right answer! Buy at high altitude and sell at low altitude

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5 0
3 years ago
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The star Rho1 Cancri is 57 light-years from the earth and has a mass 0.85 times that of our sun. A planet has been detected in a
s344n2d4d5 [400]

Answer:

82780.42123 m/s

14.45 days

Explanation:

m = Mass of the planet

M = Mass of the star = 0.85\times 1.989\times 10^{30}\ kg=1.69065\times 10^{30}\ kg

r = Radius of orbit of planet = 0.11\times 149.6\times 10^{9}\ m=16.456\times 10^{9}\ m

v = Orbital speed

The kinetic and potential energy balance is given by

\frac{GMm}{r^2}=\frac{mv^2}{r}\\\Rightarrow v=\sqrt{\dfrac{Gm}{r}}\\\Rightarrow v=\sqrt{\dfrac{6.67\times 10^{-11}\times 1.69065\times 10^{30}}{16.456\times 10^{9}}}\\\Rightarrow v=82780.42123\ m/s

The orbital speed of the star is 82780.42123 m/s

The orbital period is given by

t=\frac{2\pi r}{v}\\\Rightarrow t=\dfrac{2\pi \times 16.456\times 10^{9}}{82780.42123}\\\Rightarrow t=1249040.48419\ seconds=\dfrac{1249040.48419}{24\times 60\times 60}=14.45\ days  

The orbital period is 14.45 days

5 0
3 years ago
A ship sails west for 100km and then south for 100km. What is the displacement?
ale4655 [162]

\sf \vec{w}=100

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For displacement apply Pythagorean theorem

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\\ \rm\hookrightarrow 20000

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2 years ago
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3.51 × 10^-7m

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Refractive index = wavelength of the light in air ÷ wavelength in the medium

wavelength in the medium = wavelength of the light in air ÷ refractive index

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What is<br> Magnetism ?<br><br> pls help
mote1985 [20]

Answer:

A motion produced by electric charge which causes attractive and repulsive forces between objects.

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