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katovenus [111]
3 years ago
6

Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 500 rpm, and the piece of dust is 4.3 cm from the ce

nter, what is the total distance traveled by the dust in 3 minutes? (Ignore accelerations due to getting the CD rotating.)
Physics
1 answer:
labwork [276]3 years ago
8 0

Answer:

405.3m

Explanation:

Since the CD spin rate is 500 rpm, or revolution per minutes, its angular speed in rad per second is

\omega = 500 rev/min * 2\pi rad/rev * 1/60 min/sec = 52.36 rad/s

The dusk is 4.3 cm from center, so its velocity must be

v = R\omega = 4.3 * 52.36 = 225.14 cm/s

Then the distance traveled by the dusk after 3 minutes, or 180 seconds is

d = v*t = 225.14 * 180 = 40526.54 cm or 405.3m

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Boltzmann’s constant is 1.38066 × 10−23 J/K, and the universal gas constant is 8.31451 J/K · mol.
djyliett [7]

Answer:

4.95\cdot 10^{-21} J

Explanation:

First of all, let's convert everything into SI units:

n = 2.4 mol (number of gas moles)

p=11 atm = 1.11\cdot 10^6 Pa (gas pressure)

V=4.3 L=4.3\cdot 10^{-3} m^3 (gas volume)

R = 8.31451 J/K · mol (gas constant)

The ideal gas equation states that

pV=nRT

Solving for T, we find the gas temperature

T=\frac{pV}{nR}=\frac{(1.11\cdot 10^6)(4.3\cdot 10^{-3})}{(2.4)(8.31451)}=239.2 K

And now we can find the average kinetic energy of the gas:

E_K = \frac{3}{2}kT

where

k = 1.38066 × 10−23 J/K is the Boltzmann's constant

Substituting,

E_K = \frac{3}{2}(1.38066\cdot 10^{-23} J/K)(239.2 K)=4.95\cdot 10^{-21} J

4 0
3 years ago
While riding a chairlift, a 55-kilogram skier is raised a vertical distance of 370 meters. What is the total change in the skier
Lelechka [254]

The change in the skier's gravitational potential energy is 199430 J.

<h3> Gravitational potential energy:</h3>

This is the energy of a body due to its position in a gravitational field. The  S.I unit of gravitational potential energy is Joules (J)

The Change in the skier's gravitational potential energy can be calculated using the formula below.

Formula:

  • ΔP.E = mg(Δh)............... Equation 1

Where:

  • ΔP.E = Change in the skier's potential energy
  • m = mass of the skier
  • Δh = change in height to which it was raised
  • g = acceleration due to gravity.

From the question,

Given:

  • m = 55 kg
  • Δh = 370 m
  • g = 9.8 m/s²

Substitute these values into equation 1

  • ΔP.E = 55×370×9.8
  • ΔP.E = 199430 J.

Hence, The change in the skier's gravitational potential energy is 199430 J.

Learn more about potential energy here: brainly.com/question/1242059

3 0
2 years ago
Define fundamental and derived quantities with two example of each. ​
stich3 [128]

Fundamental quantity : quantities which are independent on other physical quantity .

ex: length,mass,time, current, amount of substance, luminous intensity, thermodynamic temperature,

Derived quantity : quantities which are depend on fundamental quantities.

ex: Area, volume, density, speed, acceleration, force, velocity etc.

4 0
2 years ago
A wave traveling in water has a frequency of 250 Hz and a wavelength of 6.0 m. What is the speed of the wave
Aleks04 [339]
Speed of wave = frequency x wavelength
                        =     250 x 6 = 1500 m/s.
7 0
3 years ago
If the atomic number of an atom is 4 and the mass number is 9, then how many electrons does it have
miskamm [114]
The atomic number of an atom says how many protons it has. This number cant change, since the atomic number is what gives elements their identities (in the periodic table, at least).
The mass number, on the other hand, says how many protons AND neutrons the atom has (so, the sum of P+ and N0). So, electrons have nothing to do with this number.
Atoms are neutrally charged, which means there has to be an equal number of positive and negative particles. The negative particles of an atom are its electrons, and since our atom has 4 protons, it must also have 4 electrons.
5 0
3 years ago
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