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iris [78.8K]
3 years ago
6

Listed following are three possible models for the long-term expansion (and possible contraction) of the universe in the absence

of dark energy:
A) recollapsing universe
B) coasting universe
C) critical universe
Rank each model from left to right based on the ratio of its actual mass density to the critical density, from smallest ratio (mass density much smaller than critical density) to largest ratio (mass density much greater than critical density).
Physics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

1. Recollapsing universe

2. Critical universe

3. Coasting universe

Explanation:

Recollapsing universe has dark matter density greater than critical density. While critical universe has its matter density equal to the critical sensity. Coasting universe on the other hand has much smaller matter density compared to critical density.

Note that the critical density is approximately 10^-20 grams/cm3

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Why doesn't a ball roll on forever after being kicked at a soccer game?
sergij07 [2.7K]
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A 25-foot ladder is leaning against a house. The base of the ladder is pulled away from the house at a rate of 2 feet per second
grandymaker [24]

A ladder 25 feet long is leaning against a house.  The base of the ladder is pulled away at a rate of 2 ft/sec.  

a.)  How fast is the top of the ladder moving down the wall when the base of the ladder is 12 feet from the wall?

Answer:

dy/dt = -1.094ft/sec

Explanation:

Given that:

dz/dt = 0,

dx/dt = 2,

dy/dt = ?

Hence, we have the following

Using Pythagoras theorem

We have 25ft as the hypotenuse, y as the opposite or height of wall, and x as the base of the triangle

X² + y² = z²,

12² + y² = 25²,

y² = 25² - 12²

y = √481

Therefore, we have the following:

2x dx/dt + 2y dy/dt,

= 2z dz/dt,

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= √481 dy/dt = -24,

= dy/dt = -1.094ft/sec

Therefore, final answer is -1.094ft/sec

4 0
3 years ago
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gtnhenbr [62]

Answer:

τ = 11.25 Nm

Explanation:

Given,

Mass of wrench, m = 1.10 Kg

Force on the wrench, F = 150 N

position of force, r = 15 cm = 0.15 m

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We know,

torque = Force x distance

F = 150 sin 30°

F = 75 N

τ = 75 x r

τ = 75 x 0.15

τ = 11.25 Nm

Torque at the center of the nut is equal to 11.25 N.

7 0
3 years ago
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