Suppose that it takes 0.6 seconds for a mass on a spring to move from its
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The efficiency of an ideal Carnot heat engine can be written as:
where
is the temperature of the cold region
is the temperature of the hot region
For the engine in our problem, we have
and 
, so the efficiency is
where
For the engine in our problem, we have
Answer:
As the wavelength of an electromagnetic wave _decrease__ the frequency of the wave _increase_______.
Explanation:
What is the relationship between frequency and wavelength?
Wavelength and frequency of light are closely related. The higher the frequency, the shorter the wavelength. Because all light waves move through a vacuum at the same speed, the number of wave crests passing by a given point in one second depends on the wavelength.
That number, also known as the frequency, will be larger for a short-wavelength wave than for a long-wavelength wave. The equation that relates wavelength and frequency is:
V= fλ
where v= velocity
f= frequency
λ = wavelength
⇒ f = v/λ
also f ∝ 1/λ
For electromagnetic radiation, the speed is equal to the speed of light, c, and the equation becomes:
C= fλ
where c= Speed of light
f= frequency
λ = wavelength
⇒ f = v/λ
also f ∝ 1/λ
Answer:
the angular velocity of the carousel after the child has started running =
Explanation:
Given that
the mass of the child = m
The radius of the disc = R
moment of inertia I =
change in time =
By using the torque around the inertia ; we have:
T = I×∝
where
R×F = I × ∝
R×F = ∝
F = ∝
∝ = ( expression for angular angular acceleration)
The first equation of motion of rotating wheel can be expressed as :
where ;
∝ =
Then;
∴ the angular velocity of the carousel after the child has started running =