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A 0.287-kg particle undergoes simple harmonic motion along the horizontal x-axis between the points x1= -0.269 m and x2= 0.473 m. The period of oscillation is 0.583 s. Find the frequency, f, the equilibrium position, Xeq, the amplitude A, the maximum speed, Vmax, the maximum magnitude of acceleration, amax, the force constant, k, and the total mechanical energy, Etot.
A 55.0 kg circus performer oscillates up and down at the end of a long elastic rope at a rate of once every 8s. The elastic rope obeys Hooke's Law. By how much is rope extended beyond its unloaded length while the performer hangs at rest?
Note that one chain connects the upper pulley to the ceiling and a second chain connects the lower pulley to the crate. Assume that the masses of the chains, pulleys, and ropes are negligible and the crate is rising with an acceleration of 3.3 m/s..
The elevator is firstly at rest. How far does the elevator move even as accelerating to full speed from rest.
A 6 kg block, starting from rest, slides down a frictionless incline of length 2 m. When it arrives at the bottom of the incline its speed is vf. At what distance from the top of the incline is the speed of the block 0.5 vf.
Consider the following vector fields: C=2x(x-direction), D=5x(y-direction), F=4s(phi-direction), G=3s(s-direction), For each field which could be magnetic, calculate the current density at the origin in two different ways
A car travelling 92 {rm km/h} is 150 {rm m} behind a truck travelling 80 {rm km/h}. How long will it take the car to catch the truck.
While a roofer is working on a roof that slants at 39.0 degrees above the horizontal, he accidentally nudges his 93.0 N toolbox, causing it to start sliding downward, starting from rest.
A 1650-kg car is travelling at 31.2 m/s. How fast must a 91.0-kg bicycle and rider be travelling to have the similar kinetic energy as the car.
A beaker of mass 1.5kg containing 3.2kg of water rests on a scale. A 3.2kg block of a metallic alloy of density 53400 kg/m is suspended from a spring scale is submerged in water of density 1000 kg/m.
On one of the shelves in your physics lab is displayed an antique telescope. A sign underneath the instrument says that the telescope has a magnification of 20, what is the focal length fe of the eyepiece
A near-sighted woman cannot focus on any object farther away than a distance x = 57 cm. Find the focal length of the lens which will correct her vision
What is the number of conduction electrons. A centrifuge rotor has a moment of inertia of 3.40 x10-2 kg·m2. How much energy is required to bring it from rest to 8000 rpm.
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