Which astronomer spent 20 years plotting the positions of the planets

The space shuttle releases a satellite into a circular orbit 630 km above the Earth.

solniwko [45]

Answer:

7,539 m/s

Explanation:

Let's use this equation to find the gravitational acceleration of this space shuttle:

$\displaystyle g=\frac{GM}{r^2}$

We know that G is the gravitational constant: 6.67 * 10^(-11) Nm²/kg².

M is the mass of the planet, which is Earth in this case: 5.972 * 10^24 kg.

r is the distance from the center of Earth to the space shuttle: radius of Earth (6.3781 * 10^6 m) + distance above the Earth (630 km → 630,000 m).

Plug these values into the equation:

$\displaystyle g=\frac{(6.67\cdot 10^-^1^1 \ Nm^2kg^-^2)(5.972\cdot 10^2^4 \ kg)}{[(6.3781\cdot 10^6 \ m)+(630000 \ m)]^2}$

Remove units to make the equation easier to read.

$\displaystyle g=\frac{(6.67\cdot 10^-^1^1 )(5.972\cdot 10^2^4 )}{[(6.3781\cdot 10^6)+(630000 )]^2}$

Multiply the numerator out.

$\displaystyle g=\frac{(3.983324\cdot 10^1^4)}{[(6.3781\cdot 10^6)+(630000 )]^2}$

Add the terms in the denominator.

$\displaystyle g=\frac{(3.983324\cdot 10^1^4)}{[(7008100)]^2}$

Simplify this equation.

$\displaystyle g=8.11045189 \ \frac{m}{s^2}$

The acceleration due to gravity g = 8.11045189 m/s². Now we use the equation for acceleration for an object in circular motion which contains v and r.

$\displaystyle a = \frac{v^2}{r}$

a = g, v is the velocity that the space shuttle should be moving (what we are trying to solve for), and r is the radius we had in the previous equation when solving for g.

Plug these values into the equation and solve for v.

$\displaystyle 8.11045189 \ \frac{m}{s^2} = \frac{v^2}{7008100 \ m}$

Remove units to make the equation easier to read.

$\displaystyle 8.11045189 = \frac{v^2}{7008100}$

Multiply both sides by 7,008,100.

$56838857.89=v^2$

Take the square root of both sides.

$v=7539.154985$

The shuttle should be moving at a velocity of about 7,539 m/s when it is released into the circular orbit above Earth.

5 0

3 years ago

While researching scuba diving, Pablo reads how hot a tank should get while being filled with air. Which law best explains why t

Lady_Fox [76]

Answer:

Gay-Lussac’s law, because as the pressure increases, the temperature increases

Explanation:

First of all, we can notice that the volume of the tank is fixed: this means that the volume of the air inside is also fixed.

This means that in this situation we can apply Gay-Lussac's law, which states that:

"for a gas kept at constant volume, the pressure of the gas is proportional to the absolute temperature of the gas".

Mathematically:

$p\propto T$

where p is the pressure in Pascal and T is the temperature in Kelvin.

In this case, the tank is filled with air: this means that the pressure of the gas inside the tank increases. And therefore, according to Gay-Lussac's law, the temperature will increase proportionally, and this explains why the tank gets hot.

5 0

3 years ago

Read 2 more answers

Explain the difference between a government Law and a Law of Science

yanalaym [24]

Answer:

U.S. Federal Government Law addresses government interactions on a national scale, and is largely composed of administrative law and constitutional law. ... State law also establishes and regulates local government for cities, towns, counties, and other communities.In general, a scientific law is the description of an observed phenomenon. It doesn't explain why the phenomenon exists or what causes it. The explanation of a phenomenon is called a scientific theory

Explanation:

3 0

3 years ago

What are stars made of?<br> How do they expand?<br> How do they explode?

lutik1710 [3]

Stars are made of very hot gas. This gas is mostly hydrogen and helium, which are the two lightest elements, star is in a delicate and fragile balance between gravity, which would collapse the star to a point, and its internal pressure caused by the energy of the nuclear fusion reaction in the core. When a star's fuel has been spent, it explodes into a giant fireball known as a supernova.. I really hope this helps!!!!

4 0

3 years ago

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F an object has a mass of 200 kg and a weight of 1000 N, what is g?

jeka94

Answer:

g = 5 m/s square

Explanation:

Weight(W), Mass(m), Gravity(g)

W = mg

1,000N = 200g

g = 1000/200

g = 5 m/s square

7 0

3 years ago