Exam 1: A: Foundations

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Light from a 600 nm source goes through two slits 0.080 mm apart.What is the angular separation of the two first order maxima occurring on a screen 2.0 m from the slits?

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Consider a plot of the displacement (x)as a function of the applied force (F)for an ideal elastic spring.The slope of the curve would be

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A 25 kg object is undergoing lightly damped harmonic oscillations.If the maximum displacement of the object from its equilibrium point drops to 1/3 its original value in 1.8 s,what is the value of the damping constant b?

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A very long nonconducting cylinder of diameter 10.0 cm carries charge distributed uniformly over its surface.Each meter of length carries +5.50 µC of charge.A proton is released from rest just outside the surface.How far will it be from the SURFACE of the cylinder when its speed has reached 2550 km/s? (k = 1/4πε0 = 8.99 × 109 N • m2/C2,e = 1.60 × 10-19 C,mproton = 1.67 × 10-27 kg)

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A car travels at a steady 40.0 m/s around a horizontal curve of radius 200 m. What is the minimum coefficient of static friction between the road and the car's tires that will allow the car to travel at this speed without sliding?

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You are generating traveling waves on a stretched string by wiggling one end.If you suddenly begin to wiggle more rapidly without appreciably affecting the tension,you will cause the waves to move down the string

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A toy rocket is launched vertically from ground level (y = 0.00 m),at time t = 0.00 s.The rocket engine provides constant upward acceleration during the burn phase.At the instant of engine burnout,the rocket has risen to 72 m and acquired a velocity of 30 m/s.The rocket continues to rise in unpowered flight,reaches maximum height,and falls back to the ground with negligible air resistance.The speed of the rocket upon impact on the ground is closest to

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In the figure,a 10.0-m long bar is attached by a frictionless hinge to a wall and held horizontal by a rope that makes an angle θ of 53° with the bar.The bar is uniform and weighs 39.9 N.How far from the hinge should a 10.0-kg mass be suspended for the tension T in the rope to be 125 N? In the figure,a 10.0-m long bar is attached by a frictionless hinge to a wall and held horizontal by a rope that makes an angle θ of 53° with the bar.The bar is uniform and weighs 39.9 N.How far from the hinge should a 10.0-kg mass be suspended for the tension T in the rope to be 125 N?

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A charged particle is moving with speed v perpendicular to a uniform magnetic field.A second identical charged particle is moving with speed 2v perpendicular to the same magnetic field.If the frequency of revolution of the first particle is f,the frequency of revolution of the second particle is

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A lens is made with a focal length of -40 cm using a material with index of refraction 1.50.A second lens is made with the SAME GEOMETRY as the first lens,but using a material having refractive index of 2.00.What is the focal length of the second lens?

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The magnitude of a vector can never be less than the magnitude of one of its components.

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A block is on a frictionless horizontal table,on earth.This block accelerates at 3.6 m/s2 when a 90 N horizontal force is applied to it. The block and table are then set up on the moon where the acceleration due to gravity is 1.62 m/s2. A horizontal force of 45 N is applied to the block when it is on the moon.What acceleration does this force impart to the block?

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Three forces,F1 = 20.0 N,F2 = 40.0 N,and F3 = 10.0 N act on an object with a mass of 2.00 kg which can move along a frictionless inclined plane as shown in the figure.The questions refer to the instant when the object has moved through a distance of 0.600 m along the surface of the inclined plane in the upward direction.Calculate the amount of work done by (a) F1 (b) F2 (c) F3. Three forces,F<sub>1</sub> = 20.0 N,F<sub>2</sub> = 40.0 N,and F<sub>3</sub> = 10.0 N act on an object with a mass of 2.00 kg which can move along a frictionless inclined plane as shown in the figure.The questions refer to the instant when the object has moved through a distance of 0.600 m along the surface of the inclined plane in the upward direction.Calculate the amount of work done by (a) F<sub>1</sub> (b) F<sub>2</sub> (c) F<sub>3</sub>.

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In the figure,the radius of curvature of the curved part of the lens is 24.0 cm,and the refractive index of the lens material is 1.750.What is the focal length of the lens? In the figure,the radius of curvature of the curved part of the lens is 24.0 cm,and the refractive index of the lens material is 1.750.What is the focal length of the lens?

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For a fixed amount of gas,if the absolute temperature of the gas is doubled,what happens to the pressure of the gas?

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An object is placed in front of a lens which forms an image of the object.

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Four resistors are connected across an 8-V DC battery as shown in the figure.The current through the 9-Ω resistor is closest to Four resistors are connected across an 8-V DC battery as shown in the figure.The current through the 9-Ω resistor is closest to

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Vectors Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  and Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  Are shown in the figure.Vector Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  Is given by Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  = Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  - Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  )The magnitude of vector Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  Is 16.0 units,and the magnitude of vector Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  Is 7.00 units.What is the angle of vector Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?  ,measured counterclockwise from the +x-axis? Vectors   and   Are shown in the figure.Vector   Is given by   =   -   )The magnitude of vector   Is 16.0 units,and the magnitude of vector   Is 7.00 units.What is the angle of vector   ,measured counterclockwise from the +x-axis?

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In the figure,a 0.24-kg ball is suspended from a very light string 9.79 m long and is pulled slightly to the left.As the ball swings without friction through the lowest part of its motion it encounters an ideal massless spring attached to the wall.The spring pushes against the ball and eventually the ball is returned to its original starting position.Find the time for one complete cycle of this motion if the spring constant of the spring is 21 N/m.(Assume that once the pendulum ball hits the spring there is no effect due to the vertical movement of the ball.) In the figure,a 0.24-kg ball is suspended from a very light string 9.79 m long and is pulled slightly to the left.As the ball swings without friction through the lowest part of its motion it encounters an ideal massless spring attached to the wall.The spring pushes against the ball and eventually the ball is returned to its original starting position.Find the time for one complete cycle of this motion if the spring constant of the spring is 21 N/m.(Assume that once the pendulum ball hits the spring there is no effect due to the vertical movement of the ball.)

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A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 5)75 × 1014 Hz that is incident normally on the pane.If the material has an index of refraction of 1.375 and the glass has an index of refraction of 1.537,what is the minimum thickness the coating should have? (c = 3.00 × 108 m/s)

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