Fuel is combusted in the _____ stroke of a four-stroke engine.
1 answer:
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a) The launch velocity of the rocket is 5.48 m/s
b) The maximum height is 1.53 m
Explanation:
a)
We can solve this part by applying the law of conservation of energy, by considering the kinetic energy and the elastic potential energy only, since there is no change in gravitational potential energy and no friction is involved.
The total energy when the spring is compressed is:
with
(initial kinetic energy is zero)
is the elastic potential energy stored in the spring, with
k = 450 N/m (spring constant)
x = 0.10 m (compression of the spring)
The total energy when the spring is relased is:
with
(final kinetic energy), with
m = 0.15 kg (mass of the rocket)
v = velocity of launch of the rocket
(elastic potential energy is zero when the spring is released)
Combining the two equations we get
And solving for v,
b)
In this part instead we consider only the kinetic energy and the gravitational potential energy, since the spring is at rest so its energy is now zero.
The total energy at the launch is:
where
(initial kinetic energy), with
m = 0.15 kg (mass of the rocket)
v = 5.48 m/s (velocity of launch of the rocket)
(initial gravitational potential energy is zero)
The total energy at the point of maximum height is:
where
(kinetic energy is zero since speed is zero)
(final gravitational potential energy), with
m = 0.15 kg
(acceleration of gravity)
h = ? (maximum height)
Combining the two equations we find
And solving for h,
Learn more about potential energy and kinetic energy:
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Answer:
Frequency and wavelength are inversely proportional and the higher the frequency, the higher the energy of the electromagnetic wave.
Explanation:
Electromagnetic waves are transverse waves formed by an electric field and a magnetic field perpendicular to it. They propagate in a vacuum since the variation on an electric field generates a magnetic field and vice versa.
The electromagnetic spectrum is the distribution of radiation due to the different frequencies at which it radiates and its different intensities.
Radiation is distributed along that electromagnetic spectrum according to the wavelength or frequency. For example, X-rays, ultraviolet rays, the visible region are the ones with the highest frequencies and infrared, microwave and radio waves with lower frequencies.
However, the velocity of an electromagnetic wave can be defined as:
(1)
Where c is the speed of light, is frequency and
is the wavelength.
Therefore, if or
are isolated in equation 1, is easy to see that one is inversely proportional to the other.
(2)
For example, in equation 2 when the frequency increases the wavelength decreases.
The energy of the electromagnetic wave can be determined by means of the following equation:
(3)
Where h is the Planck's constant and is the frequency.
Hence, frequency and energy are directly proportional.
Equation 2 can be replace in equation 3:
(4)
Then, energy and wavelength are inversely proportional