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A single conservative force F(x) acts on a 3.2 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = -5.0xe-x/2 where x is in meters. At x = 5.0 m the particle has a kinetic energy of 3.0 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?
The radius of the circular orbit is 8.92 × 106 m. Examine the magnitude of the gravitational force exerted on the satellite by the planet.
A 1290kg car and 4860kg truck undergo a perfectly inelastic collision. Before the collision, the car was traveling southward at 1.80m/s, Find the velocity of the wreckage immediately after the collision
The telescope at a small observatory has objective and eyepiece focal lengths of 16.0 m and 12 cm, respectively. determine angular magnification of the telescope
a point charge q = +87.1 micro coulombs is held fixed at the origin. A second charge, with mass m = 0.0576 kg and charge q = +3.5 micro coulombs, Find the electric potential energy of the system of charges
Given the angular speed omega, find out the radius R(omega) at which the mass rotates without moving toward or away from the origin. Determine the radius in terms of k, L, M, and omega.
The velocity of a plane relative to still air is 135 mr/hr. The pilot wants to fly straught north over the ground. What is the direction of the wind relative to the ground
You place a 3.63-mm-high diamond on the axis of and 12.7 cm from a lens with focal length -5.15 cm. How high is the image
Write at least one paragraph in which you define diffraction and interference, discuss Huygens' Principle and explain why light passing through a narrow slit
An experimental apparatus includes a prism made of sodium chloride (n=1.54). what is the required apex angle of the prism
The mast of a sailboat is supported at the bow and stern by stainless steel wires, the forestay and backstay, Find the tension in the backstay and the force that the mast exerts on the deck
Using a vernier caliper of least count 0.01 cm, the length of a cylinder is measured to be 3.76 cm, and its diameter 1.28 cm. Calculate the probable percent error in the volume
A typical wall outlet is 120 volts in the U. S. Personal MP3 players require much smaller voltages, calculate the number of turns on the secondary coil of the adapter transformer
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