A 15 kg box is sliding down an incline of 35 degrees. The incline has a coefficient of friction of 0.25. If the box starts at rest, how fast is it moving after it travels 3 meters?

Answers

Answer 1
Answer:

The box has 3 forces acting on it:

• its own weight (magnitude w, pointing downward)

• the normal force of the incline on the box (mag. n, pointing upward perpendicular to the incline)

• friction (mag. f, opposing the box's slide down the incline and parallel to the incline)

Decompose each force into components acting parallel or perpendicular to the incline. (Consult the attached free body diagram.) The normal and friction forces are ready to be used, so that just leaves the weight. If we take the direction in which the box is sliding to be the positive parallel direction, then by Newton's second law, we have

• net parallel force:

F = -f + w sin(35°) = m a

• net perpendicular force:

F = n - w cos(35°) = 0

Solve the net perpendicular force equation for the normal force:

n = w cos(35°)

n = (15 kg) (9.8 m/s²) cos(35°)

n ≈ 120 N

Solve for the mag. of friction:

f = µn

f = 0.25 (120 N)

f ≈ 30 N

Solve the net parallel force equation for the acceleration:

-30 N + (15 kg) (9.8 m/s²) sin(35°) = (15 kg) a

a ≈ (54.3157 N) / (15 kg)

a ≈ 3.6 m/s²

Now solve for the block's speed v given that it starts at rest, with v₀ = 0, and slides down the incline a distance of ∆x = 3 m:

v² - v₀² = 2 ax

v² = 2 (3.6 m/s²) (3 m)

v = √(21.7263 m²/s²)

v ≈ 4.7 m/s


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No two electrons can have the same four quantum numbers is known as the

Answers

Answer:

  • Pauli's exclusion principle

Explanation:

You can read this principle in any chemistry or physics textbook that deals with quantum numbers. It states that two electrons of an atom cannot have the same set of four quantum numbers.

As result:

  • Any orbital can have a maximum of two electrons, and

  • Two electrons in a same orbital have opposite spins: one will have +1/2 and the other will have -1/2.

Remember, that the quantum numbers are the numbers that identify the electrons in an atom.

  • n is the principal quantum number, and can have positive integer vaules: 1, 2, 3, 4, 5, 6, 7, ...

  • is the Azimuthal or angular momentum quantum number. It can have integer values from 0 to n -1: 0, 1, 2, 3, 4, ...

  • mℓ is the magnetic quantum number, which can have values from -ℓ to + ℓ

  • ms is the spin quantum number. which can have values +1/2 and -1/2.

In this way, Pauli's exclusion principle implies that two electrons occupying the same orbital will have equal n, ℓ, and mℓ values, meaning that their ms will be opposite: + 1/2 and −1/2.

Final answer:

The rule that no two electrons can possess the same four quantum numbers is known as the Pauli Exclusion Principle. Proposed by Wolfgang Pauli, this rule dictates that no two electrons can be in the same state within an atom. It limits the number of electrons in atomic shells and subshells, influencing the structure of atoms.

Explanation:

The rule that no two electrons can have the same four quantum numbers is known as the Pauli Exclusion Principle. These quantum numbers include: principal quantum number (n), orbital angular quantum number (l), magnetic quantum number (m), and spin quantum number (ms).

An Austrian physicist, Wolfgang Pauli, proposed this rule in 1925. This principle means that two electrons can share the same orbital if only their spin quantum numbers have different values. Since the spin quantum number can only take two values: +½ or -½, a maximum of only two electrons can occupy the same orbital. As a result, any atomic orbital can be populated by zero, one, or two electrons only.

This principle is important because it limits the number of electrons in atomic shells and subshells, and thus plays a crucial role in determining the structure of atoms and the characteristics of the elements on the periodic table.

Learn more about Pauli Exclusion Principle here:

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Answers


Its Transparent. While Transparent, Opaque, and Translucent are all able to let light through only Transparent allows objects on the other side to be clearly seen. Also Obtuse means insensitive, Slow to understand or greater than 90degrees but less than 180degrees. Hope this helps.

Answer:

It is translucent

Explanation: i put it and got it right