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OleMash [197]
4 years ago
14

In a laboratory, you determine that the density of a certain solid is 5.23×10−6kg/mm3. Convert this density into kilograms per c

ubic meters.
Physics
1 answer:
Pepsi [2]4 years ago
5 0

The Density of a solid that is 5.23×10−6kg/mm3 is equivalent to 5230 kg/m^3  

<h2>Further Explanation </h2>
  • Density is defined as the mass per unit volume of an object.
  • Therefore density is given by mass of an object divide by its volume.  

That is; D = M/V

  • Density is measured in grams per cubic centimeter (g/cm³)
  • For instance the density of water is 1 gram per cubic centimeter (1 g/cm³)
  • However, density may be expressed in kilograms per cubic meter (kg/m³)
  • For Example the density water may be expressed as 1000 kg/m³.  
  • Other units of measuring density may be converted into SI units.

For example; In this case we are given density as 5.23 x 10^-6 kg/mm3

This density can be converted to kilograms per cubic meters as required;

1 x 10^9 mm^3 = 1 m^3

Therefore;

1 mm^3 = 1.0 x 10^-9 m^3  

Hence;  

5.23 x 10^-6 kg/mm^-3 = (5.23 x 10^-6 kg)/ 1 x10^-9 m^3  

                                    <u> = 5230 kg/m^3  </u>

  • Density depends on both mass and volume of an object. An object with high mass will have more density compared to an object with a lower mass.
  • Therefore, density is directly proportional to mass and inversely proportional to the volume of the object.

Keywords: Density  

<h3>Learn more about: </h3>
  1. Density: brainly.com/question/11107994  
  2. Formula for calculating Density; brainly.com/question/1795189

Level: High school  

Subject: Physics  

Chapter: Density  

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A damping force affects the vibration of a spring so that the displacement of the spring is given by y = e−4t(cos 2t + 3 sin 2t)
astraxan [27]

Answer:

Average velocity = dy/dt = 4sin2t(2t+3)-4cos2t(6t+1)e^-4t(cos 2t + 3 sin 2t).

Explanation:

Velocity is defined as the rate of change in displacement.

Velocity = change in displacement/time taken

Given the displacement of the string as;

y = e^−4t(cos 2t + 3 sin 2t).

To get the average velocity, we will find the derivative of the displacement with respect to time.

Using function of a function to solve this;

Let u = 4t(cos 2t + 3 sin 2t)... (1)

y = e^-u... (2)

Differentiating both functions with respect to their variables we have;

dy/du = -e^-u

du/dt is gotten using the product rule to have;

du/dt = 4t(-2sin2t+6cos2t)+4(cos2t+3sin2t)

Opening up the bracket we have;

du/dt = -8tsin2t+24tcos2t+4cos2t+12sin2t

Collecting like terms;

-8tsin2t+12sin2t+24tcos2t+4cos2t

du/dt = -4sin2t(2t-3)+4cos2t(6t+1)

dy/dt = dy/du × du/dt

dy/dt = -e^-u × -4sin2t(2t+3)+4cos2t(6t+1)

Substituting u = 4t(cos 2t + 3 sin 2t) into dy/dt, we will have;

dy/dt = -e^-4t(cos 2t + 3 sin 2t) × -4sin2t(2t+3)+4cos2t(6t+1)

dy/dt = 4sin2t(2t+3)-4cos2t(6t+1)e^-4t(cos 2t + 3 sin 2t).

The average velocity of the wave function therefore give us;

dy/dt = 4sin2t(2t+3)-4cos2t(6t+1)e^-4t(cos 2t + 3 sin 2t).

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Answer:

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Explanation:

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So ne=8\times 10^{-9}

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So number of electron on the fur will be 5\times 10^{10}electron

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