A 6.5 kg rock thrown down from a 120m high cliff with initial velocity 18 m/s down. Calculate
1 answer:
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1) By looking at the table of the visible spectrum, we see that blue light has a wavelength in the range [450-490 nm], while red light has wavelength in the range [620-750 nm]. Therefore, red light has longer wavelength than blue light.
2) The frequency f of an electromagnetic wave is related to its wavelength
by the formula
where c is the speed of light. We see that the frequency is inversely proportional to the wavelength, so the shorter the wavelength, the greater the frequency. In this case, blue light has shorter wavelength than red light, so blue light has greater frequency than red light.
3) The energy of the photons of an electromagnetic wave is given by
where h is the Planck constant and f is the frequency. We see that the energy is directly proportional to the frequency, so the greater the frequency, the greater the energy. In this problem, blue light has greater frequency than red light, so blue light has also greater energy than red light.
2) The frequency f of an electromagnetic wave is related to its wavelength
where c is the speed of light. We see that the frequency is inversely proportional to the wavelength, so the shorter the wavelength, the greater the frequency. In this case, blue light has shorter wavelength than red light, so blue light has greater frequency than red light.
3) The energy of the photons of an electromagnetic wave is given by
where h is the Planck constant and f is the frequency. We see that the energy is directly proportional to the frequency, so the greater the frequency, the greater the energy. In this problem, blue light has greater frequency than red light, so blue light has also greater energy than red light.
Answer:
v = 0.5 m/s
f = 0.42 Hz
ω = 2.6 rad/sec
Explanation:
- By definition, the translational speed is the rate of change of the position with respect to time.
- The change in position along a complete revolution is just the following:
- Δs = 2*π*r = 2*π*0.19 m = 1.19 m
- The time needed to complete a revolution is 2.4 s, so the translational speed can be written as follows:
- The frequency in Hz is just the inverse of the time needed to complete a revolution (known as the period T), as follows:
- f = 1/T = 1/2.4s = 0.42 Hz (2)
- Finally, the angular speed is the rate of change of the angle rotated with respect to time, as follows:
Answer:
0.0545 m/s2
Explanation:
19.2 cm = 0.192 m
We can convert rpm (revolution per minute) to angular velocity rad/s knowing that each revolution is 2π rad and each minute is 60 seconds.
57 rpm = 57 * 2π / 60 = 6 rad/s
86 rpm = 86 * 2π / 60 = 9 rad/s
The angular acceleration of the sprocket is the change in angular velocity per unit of time
The tangential acceleration of the pedal is the product of its angular acceleration and the radius of rotation, aka the pedal arm length L = 0.192 m