The work is path independent since we have a conservative force.
Thus
Answer (1)
Thus
Answer (1)
A scientist examines a large pot of boiling water and a small cup of boiling water. The scientist determines that the large pot
2 answers:
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<u>Answer:</u> The number of photons are
<u>Explanation:</u>
We are given:
Wavelength of microwave = (Conversion factor:
)
- To calculate the energy of one photon, we use Planck's equation, which is:
where,
h = Planck's constant =
c = speed of light =
= wavelength = 0.122 m
Putting values in above equation, we get:
Now, calculating the energy of the photon with 88.3 % efficiency, we get:
- To calculate the mass of water, we use the equation:
Density of water = 1 g/mL
Volume of water = 165 mL
Putting values in above equation, we get:
- To calculate the amount of energy of photons to raise the temperature from 23°C to 100°C, we use the equation:
where,
m = mass of water = 165 g
c = specific heat capacity of water = 4.184 J/g.°C
= change in temperature =
Putting values in above equation, we get:
This energy is the amount of energy for 'n' number of photons.
- To calculate the number of photons, we divide the total energy by energy of one photon, we get:
q = 53127.72 J
E =
Putting values in above equation, we get:
Hence, the number of photons are
Answer:
Explanation:
Δ
- Δ
is the difference in velocity before and after a given time.
is the acceleration of the object during this time.
is time
is another way to write this equation.
- The Δ symbol represents "the difference between the initial and final values of a magnitude or vector", so Δ
- I rearranged this equation to solve for
- Plug in the given values. Note that our final velocity is
, because the car travels until at <em>rest</em>.
- Our initial velocity is in mph, something not in standard units, so if not changed, you will get an incorrect answer. What you need to do is cancel out the units your prior value had using division and multiplication, and at the same time multiply and divide the correct numbers and units into your equation. Or look up a converter.
- if you converted correctly, your answer for
will be ≅
.
- Now divide. Notice that the units for acceleration are
or <em>meters per second, per second</em>.
- Our final answer is <em>negative </em>because the car is <em>slowing down</em>. Do not square this answer as the square symbol only applies to the units, not the magnitude.