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Q. For a damped oscillator with a mass of 290 g, a spring constant 80 N/m and a damping coefficient of 57 g/s, what is the ratio of the amplitude of the damped oscillations to the initial amplitude at the end of 26 cycles?
Q. A 25 g ice cube floats in 200 g of water in a 100 g copper cup; all are at a temperature of 0°C. A piece of lead at 97°C is dropped into the cup, and the final equilibrium temperature is 12°C. What is the mass of the lead?
A particular organ pipe can resonate at 213 Hz, 355 Hz, and 497 Hz, but not at any other frequencies in between. What is the fundamental frequency of pipe.
Three charged particles are placed at each of three corners of an equilateral triangle whose sides are of length 2.8 . Two of the particles have a negative charge: = -6.7 and = -13.4 . The remaining particle has a positive charge, = 8.0 . What is ..
Two astronauts, each having a mass M, are linked by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v.
An anchor shoots an arrow with a velocity of 45 m/s at the angle of 50 degrees with the horizontal.An assistant standing on the level ground 150 m downrange from the launch point throws an apple straight up into the air at th right time and speed ..
Compute an inductance of the sensor for air gaps
A steel cable with total length 20 m and mass 100 kg is connected to two poles. The tension in the cable is 2,000 N, and the wind makes the cable vibrate with a frequency of 2 Hz. compute the wavelength of the resulting wave on the cable.
A simple camera telephoto lens consists of two lenses. The objective lens has a focal length f1 = 38.8 cm. Precisely 35.7 cm behind this lens is a concave lens with the focal length f2 = -10.3 cm. The object to be photographed is 3.97 m in front o..
A lightweight string of length 60cm is attached to the ceiling at points separated by distance. Three objects of equal mass are hung from the string, separating the string into 4 equal segments of length L. If θ = 40, find the measure of angle φ a..
A hollow spherical shell has mass 8.00 and radius 0.225. It is originally at rest and then rotates about a stationary axis that lies along a diameter with the constant acceleration of 0.905. What is the kinetic energy of the shell after it has turned..
The energy of a simple harmonic oscillator could be doubled by increasing the amplitude by a factor of approximately
A flower pot falls from the roof and passes in front of a window of height h as it falls to the ground to smash to pieces. If the flower pot takes a time T to pass from top to bottom in front of window. Find the (as-yet-unknown) height H from the ..
A 96N grocery cart is pushed 10m along an aisle by a shopper who exerts a constant horizontal force of 40-N. If all frictional forces are neglected and cart starts from rest, what is the grocery cart's final speed.
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