Unit 3 parallel and perpendicular lines answer key

Does anyone have any advice for the math section on the PERT?

ikadub [295]

I have taken both and was very nervous at first but I took my time and relaxed a bit and found it not to be that hard after all you got this keep your head up nothing to worry about if you don’t understand something skip it and then go back to it

5 0

3 years ago

Two small metal cubes with masses 2. 0 g and 4. 0 g are tied together by a 5. 0-cm-long massless string and are at rest on a fri

Aleks04 [339]

The energy of the system, tension in the string, and speed of each cube are respectively; U = 0.72 J, T = 14 N and (V₂, V₄) = (-22, 14)

<h3>Calculation of energy and tension in a String</h3>

We are given;

Mass of cube 1; m₁ = 2 g

Mass of cube 2; m₂ = 4 g

Distance between cubes; d = 5 cm = 0.05 m

Charges of cubes; Q = q = +2. 0 μc = 2.0 × 10⁻⁶ C

A) Formula for the energy of the system is;

U = kQq/d

U = 8.99 × 10⁹ × (2.0 × 10⁻⁶ C)²/0.05 m

U = 0.03596/0.05

U = 0.72 J

B) Formula for the Tension is;

T = U/d

T = 0.72/0.05

T ≈ 14 N

C) Momentum is conserved, and as such the initial momentum is zero. Thus;

0 = (0.0020 × V₂) + (0.0040 × V₄)

⇒ V₂ = -2V₄

Energy is also conserved and so;

(½ × 0.0020 × (-2V₄)²) + (½ × 0.004 × (V₄)²) = 0.72 J

-0.0040V₄² + 0.002V₄² = 0.72 J

0.0060V₄² = 0.72 J

V₄² = 0.72/0.0060

V₄² = 120

V₄ = √120

V₄ ≈ 11 m/s

Recall that; V₂ = -2V₄

Thus;

V₂ = -2(11) m/s

V₂ = -22 m/s

Thus;

(V₂, V₄) = (-22, 14)

Read more about Conservation of Momentum at; brainly.com/question/7538238

8 0

3 years ago

Find δs o for the combustion of methane to carbon dioxide and liquid water.

mote1985 [20]

The entropy change ΔS for the combustion of methane to carbon dioxide and liquid water is -242.6 J/mol.K

<h3>What is the Entropy in a Chemical system?</h3>

In a chemical system, Entropy (ΔS) is a quantitative measure of the variety of possible ways to disperse energy inside a chemical system.

In an isothermal process, entropy is determined as the quantity of heat transmitted to a system.

The chemical reaction for the combustion of methane can be expressed as:

$\mathbf{CH_{4(g)} + 2O_{2(g)} \to CO_{2(g)} + 2H_2O_{(l)}}$

The standard entropy of the combustion is expressed as:

$\mathbf{\Delta S^0 =(S^0 _{CO_{2}} + 2 \times S^0 _{H_{2}O} )+(-S^0 _{CH_{4}} -2 \times S^0 _{O_{2}} })$

Replacing the standard entropies of the compounds into the above equation, we have:

$\mathbf{\Delta S^0 =(213.8 \8 \ J/mol.K + 2 \times69.92 \ J/mol.K )+(-186.16 \ J/mol.K -2 \times 205.04 \ J/mol.K})$

$\mathbf{\Delta S^0 =-242.6 \ J/mol.K}$

Learn more about entropy here:

brainly.com/question/6364271

6 0

2 years ago

When earth and the moon are separated by a distance of.

castortr0y [4]

Answer:

3.84x10^8 meters probably

7 0

2 years ago

Crystals are made using supersaturated solutions of solids in water

Margaret [11]

Answer:

yes that is how they start to form.

Explanation:

5 0

3 years ago