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    Calculate the Force of a Spring Function

    On a frictionless table, one end of a spring is fixed. A cord attached to the free end pulls it along a meter scale beginning from 0. A record is made of the position of the free end, x, and the resisting force, F, exerted by the spring on the cord. SEE ATTACHMENT #1 for the parameters and a record of F vs x, showing position

    Archimedes Principle: An object, part aluminum, part wood

    See attached file. Two blocks are cemented together top to bottom and the whole object is placed in water. Known values are the density of the wood Dw= .650 kg/m^3, of aluminum Da = 2700 kg/m^3, and of water Dliq= 1000 kg/m^3. See attachment #1 for diagram, (not to scale). PART a. If the object barely floats, with the top

    distance from the source at a particular sound intensity.

    A rocket in a fireworks display explodes high in the air. The sound spreads out uniformly in all directions. The intensity of the sound is 2.0 *10^-6 W/m^2 at a distance of 120 m from the explosion. Find the distance from the source at which the intensity is 0.80 *10^-6 W/m^2.

    Pressure, Height, and Kelvins in a Gas-Filled Cylinder

    A frictionless gas-filled cylinder is fitted with a movable piston. The block resting on the top of the piston determines the constant pressure that the gas has. The height h is 0.120 m when the temperature is 273K and increases as the temperature increases. What is the value of h when the temperature reaches 318K?

    Boiler Safety Valves on a Boiler

    NOTE: MOVED FROM MECHANICAL ENGINEERING TO PHYSICS BECAUSE MECHANICAL OTAs UNABLE TO ADDRESS IN TIME. An HRT boiler burning gas with 5.9MJ calorific value and 34m^2 of heating surface not exceeding 1200 kpa,needs safety valves.Find the code requirement for a)safety valve capacity b)max diameter of surface for connection c)ma

    Working with Youngs Modulus

    Copper has a breaking stress of 3 x 10^8 N/m2. (a) What is the maximum load that can be hung from a copper wire of diameter of 0.42 mm before it breaks? (b) If half this maximum load is hung from the wire, by what percentage of its length will it stretch?

    Working with static equilibrium

    A ladder rests against a frictionless vertical wall. The coefficient of static friction between the ladder and the floor is 0.44. What is the smallest angle at which the ladder will remain stationary?

    Working with stress, strain and Hooke's Law.

    An 1800 kg car, being lifted at a steady speed by a crane, hangs at the end of a cable whose radius is 6.0 * 10^-3 m. The cable is 15m in length and stretches by 8.0 *10^-3 m because of the weight of the car. Find: (a) the stress (b) the strain (c) Young's modulus for the cable

    Working with elastic potential energy and a bowstring.

    An archer pulls the bowstring back for a distance of 0.470 m before releasing the arrow. The bow and string act like a spring whose spring constant is 425 N/m. (a) What is the elastic potential energy of the drawn bow? (b) The arrow has a mass of 0.0300 kg. How fast is it traveling when it leaves the bow?

    Moment of Inertia of a thin uniform rod by integration

    A thin, uniform rod has length L and mass M. a. Find by integration its moment of inertia about an axis perpendicular to the rod at one end. b. Find by integration its moment of inertia about an axis perpencicular to the rod at its center of mass.

    Working with constant force to make the net work equal to 0.

    A 1.00 * 10^2 kg crate is being pulled across a horizontal floor by a force P that makes an angle of 30 degrees above the horizontal. The coefficient of kinetic friction is 0.200. What should be the magnitude of P, so that the net work done by it and the kinetic frictional force is zero?

    Work and Force: A Moving Toboggan Over Snow

    A person pulls a toboggan for a distance of 35.0 m along the snow with a rope directed 25 degrees above the snow. The tension in the rope is 94.0 N. A) How much work is done on the toboggan by the tension force? B) How much work is done if the same tension is directed parallel to the snow?

    Projectile problemA marble fired from a roof at a known angle.

    A marble is fired at angle +30° from a roof top x,y origin 50 m above ground with velocity such that it falls into a bowl on the ground at (218, -50). a. Find the original speed Vo. b. Find the total time of flight of the marble. See diagram attachment for picture showing known data.

    Working with spring oscillations and friction.

    A block attached to a spring is acted on by a spring with spring constant k and a weak frictional force of constant magnitude f. The block is pulled a distance Xo from the equilibrium and released. It oscillates many times and eventually comes to rest. a) Show that the decrease of amplitude is the same for each cycle of osci

    Electricity Problem

    A +30e-6 charge is placed 32 cm form an idnetical +30e-6 charge. How much work would be required to move a +50e-6 test charge from a point midway between them to a point closer to either of the charges?

    Projectile Motion: Determining Angle to Aim Arrow

    William Tell must split the apple atop his son's head from a distance of 27 meters. When he aims directly at the apple, the arrow is horizontal. At what angle must he aim the arrow to hit the apple if the arrow travels at a speed of 35m/sec?

    Problem relating to centroid

    The asking problem: For the semiannular area, determine the ratio of r1 to r2 for which the centroid of the area is located at x=-1/2*r2 and y=0. Note: This problem is a 2D problem and not a 3D. It was taken from the «Distributed forces: Centroids and Centers of Gravity» section of my static course. The files is in word97

    Physics: Sound wave in pipes

    A very large pipe is set up in a science museum. It is open at both ends, and it is large enough to walk inside it. A large loud speaker is set up at one end of the pipe. A student walks along the pipe and makes the following observations. While walking through the entire length of the pipe the student encountered 3 soft zones

    Determining the elongation in a spring when the mass is immersed in water.

    A copper piece of mass 10g is suspended by a vertical spring. The spring elongates 1cm over its natural length to keep the piece in equilibrium. A beaker containing water is now placed below the piece so as to immerse it completely in water. Find the elongation of the string. Density of copper is 9000 kg/m^3 g = 10 m/s^2

    Projectile Motion - Trajectory of a Football

    A foot ball is kicked with a velocity of 20m/s at an angle of 45 deg with the horizontal. (a) Find the time taken by the ball to strike the ground. (b) The maximum height it reaches (c) How far away from the kick does it hit the ground? Take g = 10m/s^2.

    Simple Pendulum - Tension in the string

    A simple pendulum having a bob of mass m undergoes small oscillations. If theta is the small angle that makes with the vertical at the extreme positions, find the tension in the string as a function of the angle made by the string with the vertical. When is the tension maximum and when it is a minimum?

    Electomagnetic Induction

    1. Imagine a superconductor in its normal state in the shape of a ring immersed in a magnetic field parallel to the central axis (that is, perpendicular to the plane of the ring.) Suppose the ring is cooled and becomes superconducting. (a) Describe what happens to the field (b) If the ring is pulled parpendicularly out of the

    Motion with Constant Acceleration Two space crafts approaching

    Spacecraft A and spacecraft B are traveling on paths parallel to an x axis. Initially, at t=0, A is located at XoA= -30 m, moving at VoA=+25 m/sec, and having constant acceleration aA = -4.5 meters per second squared. Also at t=0, spacecraft B is located at XoB= +60 m, moving with initial velocity VoB= -9.5 m/sec and accelerati

    Sound Waves Examined

    1. Imagine two symmetrical pulses that are identical in every way, except tht one is inverted. These pulses are moving toward each other on a rope in opposite directions. What happens to the energy of the rope at the instant of complete cancellation? 2. In the real world, a pulse sent down a very long, taut rope diminishes in

    Thermionic emission of electrons

    Find the value of the thermionic current in Amp/cm<sup>2</sup> for a platinum filament whose work function is 4.1 eV and temperature is 2000 K. The emission constant A is 120 A/(cm<sup>2</sup> K<sup>2</sup>).