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A single conservative force F(x) acts on a 2.9 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = -3.8xe^-x/5 where x is in meters. At x = 4.5 m the particle has a kinetic energy of 12 J.
(a) What is the mechanical energy of the system?
(b) What is the maximum kinetic energy of the particle and
(c) the value of x at which it occurs?
find the velocity of their center of mass before the collision.
Electron microscopy has proved invaluable for investigations of viruses, cell membranes and subcellular structures, bacterial surfaces, visual receptors, chloroplasts, and the contractile properties of muscles. The "lenses" of an electron microsco..
A particle of mass 7.7 × 10-8 kg and charge +8.0 ?C is traveling due east. It enters perpendicularly a magnetic field whose magnitude is 3.2 T, How much time does the particle spend in the magnetic field
In extremely cold weather conditions where the inside thermostat is set to 27 C and the outside temperature is -20 C, your 1200 square ft house might lose heat through the walls at a rate of 4000 W.
A 5000 kg helicopter accelerates upward at 0.50 m/s2 while lifting a 2000 kg car. What is the lift force exerted by the air on the rotors? Evaluate the tension in the cable that connects the car to the helicopter?
A small object begins a free-fall from a height of H = 82.5 m at t0 = 0 s. After ? = 2.85 s, a second small object is launched vertically up from the ground with the initial velocity v0 = 40.2 m/s. At what height from the ground will the two objec..
A wire loop of radius 0.3 m lies so that an external magnetic field of magnitude 0.30T is perpendicular to the loop. The filed reverses its direction, and its magnitude changes to 0.20T in 1.5s. Find out the magnitude of the average induced emf in..
Two identical 0.13 kg blocks (labeled 1 and 2) are initially at rest on a nearly frictionless surface, connected by an unstretched spring, where x2 = 0.04 m.
A simple pendulum with a period T = 2.00 s is attached to the ceiling of an elevator which is initially at rest, Calculate the period of oscillations when the elevator accelerates downwards
The four tires of an automobile are inflated to a gauge pressure of 2.10E+5 Pa. Each tire has an area of 0.0267 m2 in contact with the ground. Find out the weight of the automobile.
A convex spherical mirror with a radius of curvature of 11.0 cm produces a virtual image one third the size of the real object. Where is the object
When it rains water vapour in the air condenses into liquid water and energy is released. How much energy is released when 0.0244m of rain falls over an area of 2.59 x 10^6 m^2? If the average energy needed to heat one home for a year is 1.40 x 10^11..
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