Search & Filtering
A light arm 500m long, pivoted at its center, carries a 10kg mass at each end. If a couple of 3Nm is applied to the arm, calculate the angular acceleration produced.
Two tugs are pulling a vessel in water. Tug A is at an angle of 25º to the direction of travel and tug B is at an angle of 10º to the direction of travel. A resultant force of 150kN is produced by the two tugs. Calculate the force in the tugs ropes.
An electric current of I = 6A flows in a conductor bent into a square ABCD with side a = 10cm. Determine the magnetic induction vector B and the magnetic field strength at the center O of the circuit.
The eigen values of Hermitian operator are real. What you can say about eigen values
NASA wants to launch its satellite around an asteroid to make observations. It wants the satellite to be over the same location every 24 hours. If Kepler’s constant, k, is 0.5 hr^2/m^3 , what distance from the center of the asteroid must the satellite be placed?
The man who with 55 kg on a skateboard. He had an initial speed of 2.77 m/s when descending the stairs at height of 2m . Calculate the man's potential energy when his speed is 6 m/s.
Problem Solving
1. A television station broadcasts in the frequency range of 470 to 478 MHz.
Calculate the corresponding wavelength range. Is it a VHF or a UHF station?
2. Find the frequencies of the following:
a. FM radio wave with a wavelength of 3 m
b. microwave with a wavelength of 0.03 m
c. x-rays with a wavelength 0f 0.5 mm.
3. If the frequency of an EM wave is 106 Hz, what is its wavelength in
nanometers? in meters? What type of electromagnetic wave is this?
Frequency and Wavelengths
1.What is the frequency of green
light that has a wavelength of 5.5 x 10 -7 m?
2. What is the wavelength of a microwave that has a frequency of 4.2 x 10 8 Hz?
3. Find the green of light from no.1 if its wavelength changes to 4.2 x 10 -7 m.
4. Red light has a frequency of 4.0 x 10 14 Hz.
a. Find the speed of red light in a vacuum if its wavelength is 7.5 x 10 -7 m.
b. As the red light above enters glass its wavelength changes to 5.8 x 10 -7 , but its
frequency remains constant. What is the speed of red light in this glass?
Lens Equation
Solve the following problems.
3. A diverging lens formed an image that is 20.0 cm in front of it. If the focal length
of the lens is 25 cm, where is the object placed?
4. An object 20 cm high is placed 50 cm from a concave lens whose focal length is
20 cm.
a. Where is the image located?
b. What is the size of the image?
c. Construct a ray diagram.
d. Describe the image formed.
A diverging lens formed an image that is 20.0 cm in front of it. If the focal length
of the lens is 25 cm, where is the object placed?
