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Consider two planets of mass m and 2m,

Rzqust [24]

Answer:

Part a)

$\frac{F_1}{F_2} = 10.125$

Part b)

$\frac{v_1}{v_2} = \sqrt{\frac{4.5r}{r}} = 2.12$

Part c)

$\frac{T_1}{T_2} = 9.54$

Explanation:

Part a)

As we know that the gravitational force is given as

$F = \frac{GMm}{r^2}$

so we will have to find the ratio of force on two planets due to star

so here we have

$\frac{F_1}{F_2} = \frac{m_1r_2^2}{m_2r_1^2}$

$\frac{F_1}{F_2} = \frac{m (4.5r)^2}{(2m) r}$

$\frac{F_1}{F_2} = 10.125$

Part b)

Orbital speed is given as

$v = \sqrt{\frac{GM}{r}}$

so the ratio of two orbital speed is given as

$\frac{v_1}{v_2} = \frac{r_2}{r_1}$

$\frac{v_1}{v_2} = \sqrt{\frac{4.5r}{r}} = 2.12$

Part c)

Time period is given as

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

so the ratio of two time period is given as

$\frac{T_1}{T_2} = \sqrt{\frac{r_1^3}{r_2^3}}$

$\frac{T_1}{T_2} = \sqrt{\frac{4.5r^3}{r^3}}$

$\frac{T_1}{T_2} = 9.54$

8 0

3 years ago

Read 2 more answers

ا ا يبين الشكل (۱-۱۰) إلكترونا وبروتونا موضوعين على المحور السينی، حدر

Travka [436]

Explanation:

اين هي صور الذي يبين الشكل

8 0

3 years ago

What is the name of the small early planets, which formed through gravitational attraction reaching sizes of a few miles to even

Svetradugi [14.3K]

Answer:

Planetesimals (Ex, Mercury, Venus , Mars & Earth)

Explanation:

They are known as Planetesimals , They are small in size and have rocky surface. The examples of Planetesimals are Mercury, Venus Mars and Earth.

They are small early planets , which also has gravitational attraction.

Thanks

6 0

4 years ago

The picture below shows a person exploring an underwater cave in Florida.

lubasha [3.4K]

Underwater caves in Florida are primarily formed due to the abundance of limestone layers just situated below the ground, forming the "Floridan Aquifer." Layers of these limestones are believed to be thousands of meters thick. When rainwater is being seeped into the ground, it softens the calcite present in limestones due to its acidic nature until it is dissolved. This leads to the formation of cavities and tunnels which eventually becomes an interconnected network of passages over time. As water continues flowing through these passages, which builds up from the bottom of these cavernous empty spaces, underwater caves are then formed. Therefore, the first choice is the answer.

6 0

3 years ago

A student said,Today, giraffes have long necks that allow them to eat leaves high in trees. They got longer necks by stretching

Oksanka [162]

Answer:

yes because there is also a theory about this I studied in biology

theory name -Lamarck's theory

3 0

3 years ago

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