Prior Knowledge
1. What do a light bulb, a toaster, a radio, and a computer all have in common?

Answer: Glucose

Explanation:

Answer:

τ = 5 s

Explanation:

When a vibrating body is damped. Its amplitude starts to decrease. This decrement is exponential. And it is given as follows:

[tex]X = X_{0}e^{-\frac{t}{2\tau}[/tex]

where,

τ = Time Constant = ?

X = Instantaneous value of amplitude

X₀ = Initial Value of amplitude

t = time interval = 10 s

The ratio of decrement is given as:

[tex]\frac{X}{X_0} = 36.8\% = 0.368[/tex]

therefore, using these values, we get:

[tex]\frac{X}{X_{0}} = 0.368 = e^{\frac{10\ s}{2\tau}}[/tex]

Taking natural log (ln) on both sides, we get:

[tex]ln(0.368) = \frac{10\ s}{2\tau}\\\\\tau = \frac{10\ s}{2ln(0.368)}[/tex]

τ = 5 s

The value of the time constant for the decrease in the amplitude of this oscillator is 5.

Given the following data:

To determine the value of the time constant:

Mathematically, the amplitude for damped harmonic motion is given by the formula:

[tex]X = X_o e^\frac{t}{2 \tau}[/tex]

Where:

Rearranging the formula, we have:

[tex]\frac{X}{X_o} = e^{-\frac{t}{2 \tau}}[/tex]

Substituting the given parameters into the formula, we have;

[tex]0.368 = e^\frac{-10}{2 \tau}\\\\ln(0.368) = \frac{-10}{2 \tau}\\\\-0.9997 = \frac{-10}{2 \tau}\\\\2 \tau \times -0.9997 = 10\\\\-1.9994\tau=-10\\\\\tau =\frac{-10}{-1.9994} \\\\\tau = 5.0[/tex]

Time constant = 5

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If Dominic has a brain injury, then he must have sustained a serious injury.

The brain coordinates all the activities in the body such as speech, locomotion, coordination and intelligence. This makes the brain the master point of control in the body.

Whenever there is an injury to the brain, various parts of the body could be affected. Functions such as speech, locomotion and general coordination may become largely impaired.

Therefore, if Dominic has a brain injury, then he must have sustained a serious injury.

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D. 101.96 grams. Molar mass of Al2O3=2× Atomic mass of aluminium + 3× atomic mass of oxygen. =2×27+3×16=54+48=102g.

Sodium aluminate and water are produced when aluminum oxide Al 2 O 3 interacts with sodium hydroxide solution.Between 900 and 1100 ° C is the temperature at which this reaction occurs.Aluminum oxide functions as just an acid in this reaction.

Bauxite is the name of the aluminum ore (Al 2O 3).Bauxite is refined to create aluminum oxide, commonly known as alumina, which can be used to extract aluminum.Electrolysis is used to remove the metal, but first the aluminum oxide must be heated in order for electricity to flow through it.

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Answer:  The CORRECT Answer is :    203.92 grams

Explanation:         I took the test

Answer:

D. Energy in an isolated system remains constant

General Formulas and Concepts:

Physics

Explanation:

According to the Law of Conservation of Energy, it cannot be created or destroyed.

Therefore, we can eliminate choices A and B right off the bat.

We need to choose between C and D. We know that even though energy cannot be created or destroyed, it can be changed into a different form. Therefore, the correct answer is D.

Option B. An electric motor uses electrical energy to produce mechanical energy.

An electric motor is used to transform electric electricity into mechanical power. An electric-powered motor is an electrical device that converts electric energy into mechanical electricity.

Maximum electric-powered motors operate thru the interaction among the motor's magnetic field and electric-powered contemporary in a wire winding to generate force inside the form of torque implemented on the motor's shaft.

Electric motors are devices that convert electrical strength into mechanical power, commonly in the form of rotational motion. In easy terms, they may be devices that use electric powered power to generate reason strength.

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Answer:B

Explanation:please like this bc I just did it and got it right

Answer:

(Q1 - Q2)/Q1

Explanation:

The efficiency of any device can be given by the following formula:

[tex]Efficiency = \eta[/tex] = Output/Input

Now, for engine the output is the mechanical work that it does and the input is the heat that it absorbs. Let:

W = Work Done by the engine

Q₁ = Heat Absorbed by the System

Q₂ = Heat Rejected by the System (Because According to 2nd Law of Thermodynamics, engine can not convert the entire heat into work without rejection of some heat)

Therefore, the equation becomes:

[tex]\eta = \frac{W}{Q_{1}}[/tex]

but, the work can be written as the difference between the absorbed heat and the rejected heat. Hence,

[tex]\eta = \frac{Q_{1} - Q_{2}}{Q_{1}}[/tex]

Therefore, the correct option is:

(Q1 - Q2)/Q1

Answer:

Satellites don't fall from the sky because they are orbiting Earth. Even when satellites are thousands of miles away, Earth's gravity still tugs on them. Gravity--combined with the satellite's momentum from its launch into space--cause the satellite go into orbit above Earth, instead of falling back down to the groundv

Explanation:

Answer:

The centripetal acceleration of a point on the outer tip of a blade is 1.097 m/s²

Explanation:

Given;

length of the fan blade, r = 0.25 m

angular speed = 20 rpm

The angular speed in rad/s is given as;

[tex]\omega = \frac{20 \ rev}{ \ \ \min} \ \times \ \frac{2\pi}{1 \ rev} \ \times \ \frac{1 \ \min}{60s} = 2.095 \ rad/s \\\\[/tex]

The centripetal acceleration of a point on the outer tip of a blade is given as;

[tex]\alpha_c = \frac{v^2}{r} = \omega ^2r[/tex]

[tex]\alpha _c = (2.095)^2(0.25)\\\\\alpha _c =1.097 \ m/s^2[/tex]

Therefore, the centripetal acceleration of a point on the outer tip of a blade is 1.097 m/s²

Answer:

Explanation:

Given

[tex]rpm = 20[/tex]

therefore,

[tex]20rpm = \frac{20*2\pi}{60}\\\\=2.1 rad/s = w[/tex]

From,

[tex]V = rw\\\\V = 0.25 * 2.1\\\\V = 0.525m/s[/tex]

Centripetal acceleration,

[tex]a_c = \frac{V^2}{r}\\\\a_c = \frac{0.525^2}{0.25}\\\\a_c = 1.1m/s^2[/tex]

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Answer:

9.70 kilograms

Explanation:

I got a 100% on my test

The mass of the object is 9.7 kg. Option (A) is correct.

Every day, we experience the normal force. For instance, when a book is placed on a table, the usual response force prevents the book from falling through the table, even though gravity is pulling the book downward. That implies that there is a force acting to push it upward. The word "normal force" refers to the force. Normal in this context refers to being perpendicular to the ground.

Given parameters:

the normal force acting on the object is: N =  95.0 newtons.

coefficient of static friction: μ = 0.110.

We have to find mass of the object: m = ?

We know that:

Normal force = weight of the object

⇒ N = mg

⇒ m = N/g = 95.0/9.8 kg = 9.7 kg

Hence, the mass of the object be 9.7 kg.

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Answer:

I believe its forward or south :D

Explanation:

Answer:

198785.714286 Joules

Explanation:

[tex]W=f*d[/tex]

[tex]F=ma\\F=516.326530612*-14\\F=-7228.57142857 N\\[/tex]

To find work:

Now that the force and the distance are known, plug and chug:

[tex]W=f*d\\W=-7228.57142857*27.5\\W=-198785.714286J[/tex]

Note that the question is asking for the magnitude of work, so the negative can be discarded as it is a directional component.

So, your answer is

198785.714286 Joules