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The velocity gradient u(y) near the surface of a single plate over which a fluid flows is given by the function: u(y) = ay + by^2 + cy^3. Where y is the distance from the plate's surface and a, b and c are constants with the values: a = 10.0s^-1, b = 0.02(m^-1)(s^-1), and c = 0.005(m^-2)(s^-1). If the fluid is water at 20 degrees celcius (u = 1.0x10^-3 Pa*s), find the shear force at the surface of the plate (at y = 0).
A hiker determines the length of a lake by listening for the echo of her shout reflected by a cliff at the far end of the lake. Estimate the length of the lake
An infinite line of charge with linear density ?1 = 8.5 ?C/m is positioned along the axis of a thick insulating shell of inner radius a = 2.9 cm and outer radius b = 4.0 cm. What is the linear charge density of the insulating shell
A rotating cylinder about 25 km long and 9 km in diameter is designed to be used as a space colony. with what angular speed must it rotate so that residents on it would experience the same acceleration due to gravity as on earth? In radians per se..
A 100 g cube of ice at 0 degrees C is dropped into 1.3 kg of water that was originally at 82 degrees C. find the final temperature of the water after after the ice melts
Monochromatic light is incident on a diffraction grating and the first maximum is observed at an angle 5.2 degrees. At what angle is the 4th maximum seen
A constant force of magnitude F makes an angle ? (measured counterclockwise) with the positive x direction as it acts on an object of mass m moving in the xy plane. How much work is done on the object by the force
A 78-kg base runner begins his slide into second base when he is moving at a speed of 4.2 m/s. The coefficient of friction between his clothes and Earth is 0.70. He slides so that his speed is zero just as he reaches base.
Physics and Chemistry Found in Vital Signs of Planet Earth
A mini-fridge needs to maintain a temperature of 277 K. The air outside the mini-fridge has a temperature of 301 K. What is the coefficient of performance of this mini-fridge
A 0.15 kg baseball is hit by a baseball bat. Right before it is hit, the ball's speed is 30 m/s, find the magnitude of the net impulse that is applied to the ball
A 45-m length of wire is stretched horizontally between two vertical posts. Find the magnitude of the earth's magnetic field at the location of the wire
a proton and an electron are separated by 3.5 nm, what is the magnitude of the force on the electron and proton
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