1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ivolga24 [154]
3 years ago
12

4. A cylindrical tube has a length of 14.4cm and a radius of 1.5cm and is filled with a colorless gas. If the density of the gas

is known to be 0.00123g/cm', what is the mass of the gas in the tube in mg?​
Physics
1 answer:
professor190 [17]3 years ago
5 0

Answer:

Mass, m of gas is 0.2504 grams.

Explanation:

First, we need to solve for the volume of the cylindrical tube.

Volume of cylinder is given by the formula;

V = 2\Pi r^{2}h

Where, V represents volume.

π represents pie

r represents radius.

h represents height or length.

Given the following data;

Radius, r = 1.5cm

Length, h = 14.4cm

Density, d = 0.00123g/cm³

Substituting into the equation;

V = 2 * 3.142 * (1.5)^{2}14.4

V = 2 * 3.142 * 2.25 * 14.4

V = 203. 6016

Therefore, the volume of the cylindrical tube is 203. 6016cm³

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the formula;

Density = \frac{mass}{volume}

Mass = density  *  volume

Substituting into the equation, we have;

Mass = 0.00123 * 203. 6016

Mass = 0.2504g.

You might be interested in
A mass free to vibrate on a level, frictionless surface at the end of a horizontal spring is pulled 35 cm from its equilibrium p
saul85 [17]

Answer:

0.67 s

Explanation:

This is a simple harmonic motion (SHM).

The displacement, x, of an SHM is given by

x = A\cos(\omega t)

A is the amplitude and \omega is the angular frequency.

We could use a sine function, in which case we will include a phase angle, to indicate that the oscillation began from a non-equilibrium point. We are using the cosine function for this particular case because the oscillation began from an extreme end, which is one-quarter of a single oscillation, when measured from the equilibrium point. One-quarter of an oscillation corresponds to a phase angle of 90° or \frac{\pi}{4} radian.

From trigonometry, \sin A =\cos B if A and B are complementary.

At t = 0, x = 3.5

3.5 = A\cos(\omega \times0)

A =3.5

So

x = 3.5\cos(\omega t)

At t = 0.12, x = 1.5

1.5 = 3.5\cos(0.12\omega)

\cos(0.12\omega)=\dfrac{1.5}{3.5}=0.4286

0.12\omega =\cos^{-1}0.4286

0.12\omega = 1.13

\omega = 9.4

The period, T, is related to \omega by

T = \dfrac{2\pi}{\omega} = \dfrac{2\times3.14}{9.4}=0.67

5 0
3 years ago
Which of the following are NATURAL resources? Which of the following are NATURAL resources? Select all that apply.
scoundrel [369]
Wood, water, Forests. The rest can have harm to the nature.
4 0
3 years ago
Read 2 more answers
light waves with a frequency of 7.26 x 10^14 HZ lies in the violet region of the visible spectrum. what is the wavelength of thi
pogonyaev

Answer:

4.13×10⁻⁷ m

Explanation:

Applying

v = λf................... Equation 1

Wherfe v = speed of light, λ = wavelength of light, f = frequency of light.

make λ the subject of the equation

λ = v/f....................... Equation 2

Note: Light is an electromagnetic wave, and all electromagnetic wave moves with thesame speed which is 3×10⁸ m/s.

From the question,

Given: f = 7.26×10¹⁴ Hz

Constant: v = 3×10⁸ m/s

Substitute these values into equation 2

λ = (3×10⁸)/(7.26×10¹⁴)

λ = 4.13×10⁻⁷ m

7 0
2 years ago
Consider four objects: A, B, C, and D. If A is negatively charged and B and C attract A but repel each other, what is the charge
mote1985 [20]
A Both b and c are positivly charged
8 0
3 years ago
Read 2 more answers
Two objects exert a gravitational force on 8N on one another what would that force be if the mass of both objects were doubled?
jolli1 [7]
Gravitational force of attraction between two objects can be calculated from the following formula:
F = \frac{m_1 \cdot m_2}{r^{2}}
Where m with subscript stands for mass of the object and r is the distance between them.
When we double the mass of those two objects, distance between them stays the same, while in the numerator we have:
2\cdot m_1 \cdot 2 \cdot m_2 = 4\cdot m_1 \cdot m_2
When numerator in the second case 4 times greater than the 'original' numerator and denominator stays the same, force becomes 4 times greater.

3 0
3 years ago
Other questions:
  • Sound waves move the most slowly through
    9·2 answers
  • 20. A car battery with a 12-V emf and an internal resistance of 0.050 Ω is being charged with a current of 60 A. Note that in th
    10·1 answer
  • Machines
    7·2 answers
  • Three point charges are located on the x-axis. The first charge, q1 = 10 μC, is at x = -1.0 m. The second charge, q2 = 20 μC, is
    7·1 answer
  • Does charged battery have energy
    6·2 answers
  • 100 g of water are cooled and the enthalpy change is -12,540 J. What is the change in temperature of the water?
    8·1 answer
  • A student grabs a piece of paper and tears it from the middle. Which statement best explains the forces involved?
    12·2 answers
  • A chain has a mass of 10.0 kg. It is hanging freely, at rest, with one end connected to a ceiling hook.
    9·1 answer
  • The surface temperature of our sun is about 5800 K, and the peak of its intensity curve is in the middle of the visible spectrum
    7·1 answer
  • Hull (1943) had rats push a lever that required 21 grams of force to budge. After they had learned to push the lever in order to
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!