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Question
One end of a spring is attached to ceiling, and it is hanging straight down with a relaxed length L0. It has a spring constant k. A block of mass m is next attached to the bottom of a spring. 1. Believe how far the mass causes the spring to stretch. Identify your choice of the system, and draw a free body diagram for your system that shows all significant interactions with the surroundings. List few approximations that you must make. 2. The mass is at rest and spring has a lenght L=L0+ΔL. Starting from fundamental principles, derive an amount of stretch ΔL caused by the mass. 3. The mass is at rest and the spring has a lenght L=L0+ΔL. Call this position y=0. Suppose you grab the mass and gently pull it down an additional distance s, and at time t0 you let go. A short time Δt later, what is momentum of the block? 4. What is a new position of the block at this time (t0+Δt)?
A charge of q = +7.50 µC is located in an electric field. The x and y components of the electric field are Ex = 4.80 103 N/C and Ey = 7.40 103 N/C, respectively. (a) What is the magnitude of the force on the charge? (b) Determine the angle that th..
Analyse average density of the white dwarf
A Carnot engine has an efficiency of 0.861, and the temperature of its cold reservoir is 381 K. Determine the temperature of its hot reservoir
A raft is made of 12 logs lashed together. Each is 28 cm in diameter and has a length of 6 m. How many people can the raft hold before they start getting their feet wet
Consider a wide-gap degenerate n-type semiconductor with a bandgap of Eg=3.5 eV. Given a constant effective mass Mn*=0.2 m in the entire conduction band (i.e. a parabolic E-k relationship),
If there is a section of the hose where the diameter decreases to 1.93 cm, what is the speed of the water in this section
The air-conditioning system of a department store is designed to maintain a pressure of 0.22 in. find the net force due to pressure on a rectangular display window
A 1.80Kg brick is sliding next to on a rough horizontal surface at 13.5m/s .If the brick stops in 4.80, how much mechanical energy is lost.
A projectile is fired vertically from Earth's surface with an initial speed of 9.6 km/s. Neglecting air drag, how far above the surface of Earth will it go
Two balls are approaching each other head-on. Their velocities are +14.6 and -8.88 m/s. Determine the velocity of the center of mass of the two balls
A plastic block of dimensions 2.5 cm x 3.8 cm x 4.0 cm has a mass of 28.0 g. What is the density of the block
008 10.0 points A length of metal wire has a radius of 0.006 m and a resistance of 0.08 ?. calculate the density of free electron in the wire
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