Q- Two railroad cars moving on same track towards each other. One of mass 10000 kg with speed 0.3 m/s and the other of mass 15000 kg with speed of 0.1 m/s.
(a) What is the magnitude of their common velocity after they coule together?
(b) How much kinetic energy is lost during collision?
Q- I have a 1.5 m tall air compressor that weights 50 kg with a 0.5 m square base. I have a cart that is 1m x 2m. The surface of the cart where the compressor will be mounted is 0.25 m off the ground. The cart wheels are in the corners, it is rated to carry 500 kg and weighs 75 kg. If the compressor…
Q- A source of alternating voltage e = 10√2 sin ωt is connected to a resistor R = 100 Ω and a capacitor C = 0.5 μF in series.
(a) Plot impedance Z and phase difference θ between current and voltage versus frequency for a frequency range of zero to 10 kHz.
(b) Plot voltage across capacitor VC
Q- Three resistors (R1 = 120 Ohms, R2 = 330 Ohms, and R3 = 240 Ohms) and an ideal inductor (L = 1.6 mH) are connected to a battery (V = 9 V) through a switch as shown. The switch has been open for a long time before it is closed at t = 0. At what time t0, does the current through the inductor (I3) …
Q- Three resistors (R1 = 120 Ohms, R2 = 330 Ohms, and R3 = 240 Ohms) and an ideal inductor (L = 1.6 mH) are connected to a battery (V = 9 V) through a switch as shown in the figure. The switch has been open for a long time before it is closed at t = 0. At what time t0, does the current through the i…
Q- Gopal finds that a force F is required to push a crate of mass m up a plank of length L into a truck whose platforms is a vertical distance h above the road.
(a) How much work does Gopal do in pushing the crate up the plank?
(b) Calculate Gopal’s work input if the crate has a mass of 100 kg, …
Q- At t=0, a rectangular coil of resistance R = 2 ohms and dimensions w = 3 cm and L = 8 cm enters a region of constant magnetic field B = 1.6 T, directed into the screen as shown. The length of the region containing the magnetic field is LB = 15 cm. The coil is observed to move at constant velocity…
The cut-off frequencies of a series resonant circuit are 5400 Hz and 6000 Hz.
(a) Find the Bandwidth of the circuit.
(b) If quality factor Q = 9.5, find the resonant frequency of the circuit.
(c) If the resistance of the circuit is 2 Ω, find the value of reactance XL and XC at resonance…
Q- An electromagnetic wave has a frequency of 110 MHz and is traveling in a vacuum. The magnetic field is given by B (z, t) = (2.00 x 10-8 T) cos (k z - ω t) i.
(a) Find the wavelength and the direction of propagation of this wave.
(b) Find t…
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