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A "biconvex" lens is one in which both surfaces of the lens bulge outwards. Suppose you had a biconvex lens with radii of curvature with magnitudes of |R1|=10cm and |R2|=15cm. The lens is made of glass with index of refraction nglass=1.5. We will employ the convention that R1 refers to the radius of curvature of the surface through which light will enter the lens, and R2 refers to the radius of curvature of the surface from which light will exit the lens.
What is the focal length f of this lens in air (index of refraction for air is nair=1)?
A gymnast with mass m1 = 43 kg is on a balance beam that sits on (but is not attached to) two supports. The beam has a mass m2 = 108 kg and length L = 5 m. Each support is 1/3 of the way from each end. at first the gymnast stands at the left end of..
A 275 ball is tied to a string. It is pulled to an angle of 4 and released to swing as a pendulum. A student with a stopwatch finds that 17 oscillations take 20.
Two very large parallel plates are oppositely and uniformly charged. The field between the plates is 1.7×106N/C, How much total charge is on each plate if they are 18.0cm on a side
two ropes support a load 312 kg. the two ropes are perpendicular to each other, and the tension in the first rope is 2.48 times that of the second rope. Find the tension in the second rope
A galvanometer has an internal resistance of 30?and deflects full scale for a 60??A current, What is the magnitude of this resistor
Two small plastic spheres are given positive electrical charges. When they are 17.0{\rm cm} apart, the repulsive force between them has magnitude 0.200{\rm N} . 1.What is the charge on each sphere if the two charges are equal? 2.What is the charge..
A quantity of carbon monoxide gas is slowly compressed adiabatically in an insulated container to one-half of its volume. determine the final pressure of the gas
An infinitely long uniformly charged cylinder of radius R is shown. (a) Using symmetry arguments, sketch the shape of the electric field of the cylinder. (h) Use Gauss's Law to show that the electric field magnitude within the cylinder is
Two people with a combined mass of 123kg hop into an old car with worn-out shock absorbers. Find the total load supported by the springs
Suppose a 0.250-kg ball is thrown at 15.0 m/s to a motionless person standing on ice who catches it with an outstretched arm, Calculate the final linear velocity of the person
An object of mass 10 kg is initially at rest. What is the change in the kinetic energy of this object
A tennis player swings her 1000g racket with a speed of 11m/s, If the tennis ball and racket are in contact for 12ms, find the average force that the racket exerts on the ball
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