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a) A beam of light traveling in a block of glass (n=1.60) is incident on the top surface at an angle of 55° with respect to the normal. When a layer of oil is placed on the top surface, the light is totally reflected in the glass. What is the maximum possible index of refraction of the oil?
b) You look at the center of one face of a solid cube of glass on a line of sight that makes a 55° angle with the normal to the cube face. What minimum refractive index of the glass will let you see through the cube's opposite face?
The position of an object as a function of time is (3.2t + 1.8t^2)i + (1.7t + 2.4t^2), Find the magnitude and direction of the object
At t = 0 the current to a dc electric motor is reversed, resulting in an angular displacement of the motor shaft given by ?(t) = (240 rad/s)t ? (21.0 rad/s2)t2 ? (1.60 rad/s3)t3. At what time is the angular velocity of the motor shaft zero
In the sketch, the small hydraulic piston has a diameter of 2.3cm. how many newtons of force are exerted by the large piston
A scooter begins at rest at t0 = 0 seconds. The scooter then accelerates and covers a distance d = 526 m, What is the scooters average speed during this period
Water leaks out of a dam through a small hole 4.2 m below the level of the water behind the dam. Find the speed of the water emerging from the hole
A hoop and a disk, both of 0.72- m radius and 4.0- kg mass, are released from the top of an inclined plane 2.5 m high and 8.9 m long. What is the speed of the hoop
Two blocks with mass m1=2kg and m2=3kg hang on either side of a pulley. Block m is on an incline at 30 degrees, Find the maximum extension of the spring.
The internal energy of a gas is 553.J. The gas is compressed adiabatically, and its volume decreases by 105.cm3. what is the internal energy of the gas after the adiabatic compression
A 1.0-cm-diameter pipe widens to 2.0 cm, then narrows to 0.5 cm. What is the volume flow rate through the pipe
In an amusement park ride, cars are suspended from L = 4.20 m cables attached to rotating arms at a distance of D = 6.06 m from the axis of rotation. What is the angular speed of rotation
One liter (1000 cm ^3) of oil is spilled onto a smooth lake it the oil spreads out uniformly unit it makes an oil slick just one molecule thick with adjacent molecules just touching estimate the diameter of the oil slick
Take the mass of the sun to be m_s = 1.99×1030 {rm kg}, gravitational constant to be G = 6.67×10-11 {rm N} cdot {rm m^2/kg^2}, and an acceleration due to gravity at the earth's surface to be g = 9.810 {rm m/s^2}.
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