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An automobile suspension involves both leaf springs with stiffness k and shock absorbers resist motion with a force -uv. The system is critically damped. If a car has mass 2000 kg and has shock abso
Given that the latent heat of water/steam is approximately 41,000 J/mol, at what pressure will water boil at 50 degress Celcius? hint: remember that at 1 atm water boils at 373 K. Also, assume that
A particle of mass m is subject to the delta-function potential V(x) = -alpha delta(x) with alpha > 0. Evaluate the uncertainty product alpha x alpha p for the hound state.
Draw the vector starting at the black dot. The location and orientation of the vector will be graded. The length of the vector will not be graded.
A glass bottle of soda is sealed with a screw cap. The absolute pressure of the carbon dioxide inside the bottle is 1.70 x 105 Pa.
Two stretched cables both experience the same stress. The first cable has a radius of 3.1x10-3 m, and is subject to a stretching force of 230 N. The radius of the second cable is 4.6 x 10-3 m. Dete
What is the speed of the object at the instant when the spring is stretched by 0.042 m relative to its unstrained length?
A sinusoidal voltage E=200sin314t is applied to a resistor of 10 ohm resistance. Calculate power diddipated as heat in watt.
A luminous object is 4.80m from a wall. You are to use a concave mirror to project an image of the object on the wall, with the image 2.23 the size of the object.
Now consider a nucleus of charge Ze with two electrons. Use the variational principle to estimate the ground-state energy.
Archaeologists often find only parts of ancient human remains. For example, they may find a small finger bone, called the metacarpal bone.
At Location One, fluid with a density of 1.21×103 kg/m3 is flowing at speed of 4.35 m/s through a circular pipe which has a radius of 7.600×10-2 m. As the fluid flows along the pipe, the
A metal block of mass 1.220 kg is hanging from a string. The tension in the string is 7.712 N. The block is submerged in a beaker of fluid and is stationary. What is the magnitude and direction of t
A spherical ball with a radius of 2.660×10-1 m is completely submerged in a fluid that has a density of 1.081×103 kg/m3. What is the volume of the fluid displaced by the ball? (Since the
When an AC source is connected across a 15.0 Ω resistor, the rms current in the resistor is 7.10 A. (a) Find the rms voltage across the resistor.
What will the Coriolis Force observed on a 600 gram basketball thrown with a horizontal speed of 5m/s? It is thrown between two children on opposite ends. By how much does it miss its mark due to t
A string of length 1.2m vibrates in 7 loops at a frequency of 70Hz. Show Work! a. What is the wavelength? b. At what speed is the string vibrating.
Suppose that the magnetic field of the Earth were due to a single current moving in a circle of radius 2910 km through the Earth's molten core. The strength of the Earth's magnetic field on the surf
The hose ends with a nozzle of diameter 2.40 cm. A rubber stopper is inserted into the nozzle. The water level in the tank is kept 7.50 m above the nozzle. (a) Calculate the friction force exerted b
A small leak occurs in one of the window seals in the passenger compartment. Model the air as an ideal fluid to find the speed of the stream of air flowing through the leak. (Assume the density of a
At what frequency does the inductive reactance of a 82.0 µH inductor equal the capacitive reactance of a 82.0 µF capacitor?
When an AC source is connected across a 15.0-Ω resistor, the rms current in the resistor is 7.10 A. (a) Find the rms voltage across the resistor.
A person who weighs 628 N is riding a 91.6 N mountain bike. Suppose the entire weight of the rider and bike is supported equally by the two tires. If the gauge pressure in each tire is 7.51E+5 Pa, w
what must be the new length of the pendulum, such that the clock continues to keep accurate time (that is, its period remains the same)?
A simple pendulum is made from a 0.617 m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is re