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The spring attached to the 10-kg mass is nonlinear, having the force-deflection relationship shown in the figure, and is unstretched when x = 0. If the mass is moved to the position x = 100 mm and released from rest, determine its velocity v when x = 0. Determine the corresponding velocity v' if the spring were linear according to F = 4x where x is in meters and the force F is in kilonewtons.
Find the diameter of an aluminum rod that would conduct heat at the same rate as a 2.816 cm diameter copper rod of the same length
A dentist uses a small mirror of radius 44mm to locate a cavity in a patient's tooth. If the mirror is concave and is held 13 mm from the tooth, what is magnification of the image.
charges are placed on an equilateral triangle all angles are equal and equal to 60 degrees. the length of each side of
Two particles with masses 2m and 3m are moving toward each other along the x axis with the same initial speeds vi. Find the final speeds of the two particles
Suppose you have a near-point distance of 16 cm. The angular resolution of the eye is determined by diffraction, What is the smallest object your bare eye can resolve
The parachute on a race car of weight 8940 N opens at the end of a quarter mile run when the car is traveling at 38.0 m/s. What total retarding force must be supplied
A spherical hydrogen-filled balloon is used to lift a load of 5705 N (in addition to the weight of the hydrogen). Find the minumum necessary radius for the balloon
Two atoms of masses m1 and m2 are bound together in a molecule with energy so low that their separation is always close to the equilibrium value r0. With the parabola apporximation, the effective spring constant is k = (d2U)/(dr2) evaluated at r0
To save on heating costs, the owner of a greenhouse keeps 580 kg of water around in barrels. What is the minimum ampere rating of an electric heating system
A long horizontal wire carries 28.0 Amp of current due north. Find what is the angle of the net magnetic field
A canoe has a velocity of 0.400 southeast relative to the earth. Find the magnitude of the velocity of the canoe relative to the river
A 45 kg trunk is pushed 7.8 m at constant speed up a 30° incline by a constant horizontal force. Calculate the work done by the weight of the trunk.
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