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Svetradugi [14.3K]
3 years ago
10

) By observing that the centripetal acceleration of the Moon around the Earth is ac = 2.7 × 10-3 m/s2, what is the gravitatonal

constant G, in cubic meters per kilogram per square second? Assume the Earth has a mass of ME = 5.99 × 1024 kg, and the mean distance between the centers of the Earth and Moon is rm = 3.88 × 108 m.
Physics
1 answer:
Sedbober [7]3 years ago
4 0

Answer:

G = 6,786 10⁻¹¹ m³ / s² kg

Explanation:

The law of universal gravitation is

         F = G m M/ r²

Where G is the gravitational constant, m and M are the masses of the bodies and r is the distance from their centers

Let's use Newton's second law

         F = m a

The acceleration is centripetal

          a = a_{c}  

We replace

         G m M / r² = m  a_{c}  

         G =  a_{c}   r² / M

Let's replace and calculate

         G = 2.7 10⁻³ (3.88 10⁸)² / 5.99 10²⁴

         G = 6,786 10⁻¹¹ m³ / s² kg

Let's perform a dimensional analysis

[N m²/kg²] = [kg m/s²   m² / kg²] = [m³ / s² kg]

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3 years ago
A football player who weighs 550 N stands indoors wearing her football boots. The boot’s
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Answer:

183333 Pa

Explanation:

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2 years ago
A centrifuge in a biology laboratory rotates at an angular speed of 3,400 rev/min. When switched off, it rotates 48.0 times befo
IgorLugansk [536]

Answer:

- 210 rad/s²

Explanation:

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now, ω²( t) = w²(o) + 2α Φ ( α = angular acceleration and Φ = angular displacement) = 2π x 48 rad.

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7 0
3 years ago
In this circuit, energy is transferred from a battery to a circuit wire and then to a light bulb, where some of it leaves the sy
svet-max [94.6K]

Answer: The correct order of energy transformation is from CHEMICAL ENERGY to ELECTRICAL ENERGY to LIGHT ENERGY

Explanation:

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According to the law of conservation of energy, energy can neither be created nor destroyed in a closed system, but can be transformed from one form to another, thereby keeping the energy in the closed system constant. From the question, the circuit is an example of a closed system and the order of energy transformation taking place is from the battery (CHEMICAL ENERGY) to ELECTRICAL ENERGY(power source) to LIGHT ENERGY(bulb). I hope this helps, thanks.

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Lapatulllka [165]

Answer:

I have no clue lol

Explanation:

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