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A mass weighing 4 pounds stretches a spring 18 inches. A periodic force equal to f(t) = cos ψt + sin ψt is impressed on the system starting at t = 0. In the absence of a damping force, for what value of ψ will the system be in a state of pure resonance?
An unknown mass of tin is heated to a temperature of 202 C. It is placed into 200 g of water which is in a 100 g copper cup initially at 10 C. How much heat is gained by the cup and the water
the young modulus of a metal wire is 0.17 tpa and its cross-sectional area is .18mm2. the wire is extended by a force
A pendulum of length 3.53 m with a bob of mass 5.50 kg is pulled aside until the bob makes an angle of 35.0° with the vertical. Find the speed of the bob as it passes through the lowest point in its swing
In the figure below, two blocks, of mass m1 = 280 g and m2 = 610 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 500 g and radius R = 12.0 cm. The disk can rotate without friction about a fixed horizontal axis th..
The molecular mass of helium is 4g/mol, the Boltzmann's constant is 1.38066 *10-23 J/K, the universal gas constant is 8.31451 J/K * mol, What is the rms speed of each helium atom
One end of a 68-cm-long copper rod with a diameter of 2.4cm is kept at 480?C, and the other is immersed in water at 24?C. Calculate the heat conduction rate along the rod
A projectile is fired straight upward at 141m/s. How fast is it moving at the instant it reaches the top of its trajectory? Assume instead that it was fired upward at 45 degree. What would be its speed at the top of its trajectory?
The speed of a wave on a string is 30 m/s. The string is 3.0 meter long and fixed at both ends. Find the lowest resonant frequency for this system
A pipe that is closed on one end is 1.2 meters long. What are its fundamental frequency and its first two overtones? What are its new first and second harmonic frequencies
A total of 55 J of work is needed to stretch a spring from x = 0.40m to x = 2.7m , in which x is displacement from equilibrium. What is the value of the spring constant?
a particle with charge 8.30 nc is in a uniform electric field directed to the left. another force in addition to the
A piece of glass has a temperature of 77.0 °C. Liquid that has a temperature of 39.0 °C is poured over the glass, totally covering it, and the temperature at equilibrium is 50.0 °C. The mass of the glass and the liquid is the same.
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