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mafiozo [28]
4 years ago
5

An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 16101610 × 103 seconds (ab

out 1919 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 255.0255.0 × 106 m and the planet has a radius of 3.103.10 × 106 m, calculate the moon's radial acceleration ????cac .
Physics
1 answer:
nydimaria [60]4 years ago
8 0

Answer:

a = 39.8 m/s²

Explanation:

Centripetal acceleration is the acceleration that changes the direction of a body's speed without changing its module.

        a = v² / r

With the module is constant we can use the equations of uniform motion to find the speed

      v = d / t

Where the distance d is the circle length

      d = 2π r

Where r is the distance from the moon to the surface of the plant plus the radius of the plant

     r = 255.0 10⁶ +3.1 10⁶ m

     r = 258.1  10⁶ m

The time it takes to make a full turn is called a period

     t = T = 16 10³ s

Let's replace and calculate centripetal acceleration

     v = 2π r / T

calculate

     a = (2π r / T)² / r

     a = 4π² r² / T²r

     a = 4π² r / T²

     a = 4π² 258.1 106 / (16 103)²

     a = 39.8 m/s²

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Answer : The number of half-life periods will be, 3

Explanation :  Given,

Initial amount of lead = 10 kg

Amount of lead after decay = 1.25 kg

Half-life = 22 years

Formula used :

a=\frac{a_o}{2^n}

where,

a = amount of reactant left after n-half lives

a_o = Initial amount of the reactant

n = number of half lives

t_{1/2} = half-life

Now put all the given values in the above formula, we get:

1.25=\frac{10}{2^n}

2^n=8

2^n=2^3

n=3

Thus, the number of half-life periods will be, 3

5 0
4 years ago
Car A is traveling at 20.0 m/s and car B at 27.0 m/s.
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Take the moment car A starts to accelerate to be the origin. Then car A has position at time <em>t</em>

<em>x</em> = (20.0 m/s) <em>t</em> + 1/2 (2.10 m/s²) <em>t</em>²

and car B's position is given by

<em>x</em> = 300 m + (27.0 m/s) <em>t</em>

<em />

Car A overtakes car B at the moment their positions are equal:

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300 m + (7.00 m/s) <em>t</em> - (1.05 m/s²) <em>t</em>² = 0

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4 0
3 years ago
Two iron weights, one twice the mass of the other, are dropped from the top of a building. Compared with the lighter weight, the
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If we neglet air resistance for both objects then both will fall parallely(at same time) because time taken by both objects is independent of mass. there is famous experiment i.e"feather coin experiment" . normally we think that heaver objects falls faster but this is wrong concept. it depends on medium in which objects are moving.
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8 0
4 years ago
Read 2 more answers
How would the force of gravity between two objects change if the mass of
belka [17]

Answer:

Option C. The force between them would be 4 times larger than with the

initial masses.

Explanation:

To know which option is correct, we shall determine the force of attraction between the two masses when their masses are doubled. This can be obtained as follow:

From:

F = GMₐM₆/ r²

Keeping G/r² constant, we have

F₁ = MₐM₆

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Next, let the masses of both objects doubles i.e 2m

F₂ = MₐM₆

F₂ = 2m × 2m

F₂ = 4m²

Compare the initial and final force

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From the above illustrations, we can see that when the mass of both objects doubles, the force between them would be 4 times larger than with the

initial masses.

Thus, option C gives the correct answer to the question.

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3 years ago
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W=2485.65 J ,work did the movers do friction force a 41.0- kg crate 10.3 m across a rough floor without acceleration

<h3>What is a basic friction force?</h3>

Two surfaces that come into contact and slide against one another produce a force known as frictional force. Several aspects that influence the frictional force include: The surface texture as well as the amount of force attracting them together have the most effects on these forces.

<h3>What outcomes does friction produce?</h3>

It generates heat, which is useful for warming our bodies or specific areas of any object. Power is also lost as a result. It makes noise during every operation. We are able to walk, run, dance, etc. due to friction.

To know  more about friction force visit:

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