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notsponge [240]
3 years ago
7

1. A 500 N force applied to a box at a 50 degree angle above the horizontal surface. Find the x and y

Physics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.

Explanation:

At first we present a figure describing the situation explained on statement, the x and y components of the force are determined by the following trigonometric expressions:

F_{x} = F\cdot \cos \alpha (1)

F_{y} = F\cdot \sin \alpha (2)

Where:

F - Magnitude of the force, measured in newtons.

\alpha - Direction of the force above the horizontal surface, measured in sexagesimal degrees.

If we know that F = 500\,N and \theta = 50^{\circ}, then the components of the force is:

F_{x} = (500\,N)\cdot \cos 50^{\circ}

F_{x} = 321.394\,N

F_{y} = (500\,N)\cdot \sin 50^{\circ}

F_{y} = 383.023\,N

The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.

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A circuit contains four capacitors in parallel (10 F, 3 F, 7 F, and 1 F). What is the equivalent capacitance of this circuit?
Oxana [17]

The equivalent capacitance (C_{eq}) of an electrical circuit containing four capacitors which are connected in parallel is equal to: A. 21 F.

<h3>The types of circuit.</h3>

Basically, the components of an electrical circuit can be connected or arranged in two forms and these are;

  • Series circuit
  • Parallel circuit

<h3>What is a parallel circuit?</h3>

A parallel circuit can be defined as an electrical circuit with the same potential difference (voltage) across its terminals. This ultimately implies that, the equivalent capacitance (C_{eq}) of two (2) capacitors which are connected in parallel is equal to the sum of the individual (each) capacitances.

Mathematically, the equivalent capacitance (C_{eq}) of an electrical circuit containing four capacitors which are connected in parallel is given by this formula:

Ceq = C₁ + C₂ + C₃ + C₄

Substituting the given parameters into the formula, we have;

Ceq = 10 F + 3 F + 7 F + 1 F

Equivalent capacitance, Ceq = 21 F.

Read more equivalent capacitance here: brainly.com/question/27548736

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3 0
2 years ago
Runaway truck ramps are common on mountainous highways in case the brakes fail on large trucks. If a
dusya [7]

Answer:

W=-21,870,000\ J

Explanation:

<u>Work and Kinetic Energy </u>

The work an object does due to its motion is equal to the change of its kinetic energy. Being ko and k1 the initial and final kinetic energy respectively and m the mass of the object, then

W=\Delta k=k_1-k_0

Since

\displaystyle k=\frac{mv^2}{2}

We have

\displaystyle W=\frac{mv_1^2}{2}-\frac{mv_0^2}{2}

The truck has a mass of 60,000 kg and is moving at 27 m/s. The runaway truck ramp must stop the truck, so the final speed is 0. Thus

\displaystyle W=\frac{(60,000)0^2}{2}-\frac{(60,000)(27)^2}{2}

W=0-21870000\ J

\boxed{W=-21,870,000\ J}

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In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the
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Answer:

2.2 m/s^2

Explanation:

Acceleration = Force / Mass

= 7.92 / 3.6 = 2.2m/s^2

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