Distance v. Time

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

The diagram below shows the path of a planet around a star.

Anit [1.1K]

Answer:

Point C

Explanation:

Centripetal acceleration ac is inversely proportional to radius of orbit so it is greatest at point C.

7 0

3 years ago

1. Earth is approximately a sphere of radius 6.37х106 m. what are (a) its circumference in kilometers, (b) its surface are in sq

Minchanka [31]

As we know that circumference of the sphere is given as

$C = 4\pi R$

here we know that

$R = 6.37 \times 10^6 m$

now we have

$C = 4\pi (6.37 \times 10^6)$

$C = 8\times 10^7 m$

$C = 8 \times 10^4 km$

PART B)

surface area of the sphere is given as

$A = 4\pi R^2$

$R = 6.37 \times 10^3 km$

$A = 4\pi (6.37\times 10^3)^2$

$A = 5.1 \times 10^8 km^2$

PART C)

Volume of the sphere is given as

$V = \frac{4}{3}\pi R^3$

here we have

$V = \frac{4}{3}\pi(6.37 \times 10^3)^3$

$V = 1.1 \times 10^{12} km^3$

5 0

4 years ago

Read 2 more answers

Exercise can help to prevent which potential health problem? a). head lice b). chicken pox c). heart disease d). strep throat

Mrac [35]

Answer:

C

Explanation:

Exercise also increases your levels of HDL cholesterol, the "good" cholesterol that lowers heart disease risk by flushing the artery-clogging LDL or "bad" cholesterol out of your system.

5 0

4 years ago

Read 2 more answers

Write a summary paragraph of 200 words discussing this experiment and the results. Use the following questions and topics to hel

Papessa [141]

Answer:

What was your hypothesis? According to your data, do you think your hypothesis was correct? (Be sure to refer to your data when answering this question.)

Summarize any difficulties or problems you had in performing the experiment that might have affected the results. Describe how you might change the procedure to avoid these problems.

Be sure to submit your data along with your paragraph.

Part 2

What effect did the temperature have on the viscosity of the honey? (Be sure to refer to your data when answering this question.)

Give at least two practical examples where knowledge of viscosity is important.

Essay Question:

Write a summary paragraph for each part discussing this experiment and the results. Use the following questions and topics to help guide the content of your paragraph.

Part 1

What was your hypothesis? According to your data, do you think your hypothesis was correct? (Be sure to refer to your data when answering this question.)

Summarize any difficulties or problems you had in performing the experiment that might have affected the results. Describe how you might change the procedure to avoid these problems.

Be sure to submit your data along with your paragraph.

Part 2

What effect did the temperature have on the viscosity of the honey? (Be sure to refer to your data when answering this question.)

Give at least two practical examples where knowledge of viscosity is important.

5 0

4 years ago