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diamong [38]
3 years ago
10

A planet's moon travels in an approximately circular orbit of radius 7.0 ✕ 10⁷ m with a period of 6 h 38 min. Calculate the mass

of the planet from this information. ___ kg
Physics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

3.56×10²⁶ Kg.

Explanation:

Note: The gravitational force is acting as the centripetal force.

Fg = Fc........................... Equation 1

Where Fg = gravitational Force, Fc = centripetal force.

Recall,

Fg = GMm/r²......................... Equation 2

Fc = mv²/r............................. Equation 3

Where M = mass of the planet, m = mass of the moon, r = radius of the orbit and G = Universal gravitational constant.

Substituting equation 2 and 3 into equation 1

GMm/r² = mv²/r

Simplifying the equation above,

M = v²r/G .............................. Equation 4.

The period of the moon in the orbit

T = 2πr/v

Making v the subject of the equation,

v = 2πr/T............................. Equation 5

where r = 7.0×10⁷ m, T = 6 h 38 min = (6×3600 + 38×60) s = (21600+2280) s

T = 23880 s, π = 3.14

v = (2×3.14×7.0×10⁷ )/23880

v = 18409 m/s

Also Given: G = 6.67×10⁻¹¹ Nm²/kg²

Also substituting into equation 4

M = 18409²×7.0×10⁷ /(6.67×10⁻¹¹)

M = 3.56×10²⁶ Kg.

Thus the mass of the planet =  3.56×10²⁶ Kg.

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Alinara [238K]

Answer:

\Delta f=17959.2\ Hz

Explanation:

Given:

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<u>Doppler shift is given as:</u>

\frac{f}{f_o} =\frac{s+v_s}{s-v_o}

where:

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v_s= velocity of sound  source towards the observer

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\frac{4.4\times 10^6}{f_o} =\frac{1570+0}{1570-1.4}

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\Delta f=3923.56\ Hz

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3 years ago
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xxTIMURxx [149]

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2 years ago
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a 300-gram toy car and a 500-gram toy car are sitting on a shelf that is 2 meters highter than the floor. by what percent is the
andre [41]
We are given:

m1 = 300 grams
m2 = 500 grams
h1 = h2 = 2 meters

We have to determine the potential energy of both toy cars:

PE = mgh
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PE2 = m2gh2
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Serjik [45]

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cause the room temperature is higher

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Radda [10]

If you're willing to consider fractions or decimals,
then there are an infinite number of answers. 
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If you want to stick to only whole numbers,
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1, 400
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