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One of the sculptures displayed on a university campus consists of a hollow cube made of six aluminum sheets, each 5 × 5 ft, welded together and reinforced with internal braces of negligible weight. The cube is mounted on a fixed base at A and can rotate freely about its vertical diagonal AB. As she passes by this display on the way to a class in mechanics, an engineering student grabs corner C of the cube and pushes it for 1.2 s in a direction perpendicular to the plane ABC with an average force of 12.5 lb. Having observed that it takes = s for the cube to complete one full revolution, she flips out her calculator and proceeds to determine the weight of the cube. What is the result of her calculation?
the working substance of an engine is 1.00 mol of a diatomic ideal gas. the engine operates in a cycle consisting of
Two blocks are connected by a string. The smooth inclined surface makes an angle of 35 degrees with the horizontal, and the block on the incline has a mass of 5.70 kg. The mass of the hanging block is m= 2.90 kg. Find the direction of the hanging blo..
Calculate the polarisation vector, molecular/atomic polarisability and the refractive index of the glass and derive the wave equation for the z-component of the electric field of an electromagnetic wave.
What are the units of the spring constant k in SI units, which are also called MKS units (MKS = meter-kilogram-seconds)? What are the units in the cgs system (centimeter-gram-second)?
He passes the Brownsburg, IN exit at 12:30pm and maintains a constant speed of 65 mph all the way to Champaign. Assume that the Brownsburg and Prospect exits are 105 miles apart, and that the road is straight.
an unpolarized light beam traveling along the x-axis is sent into a system of three polarizers. the polarization axis
An airplane flies overhead at a speed of 100 m/s while a child on the ground watches at the angle shown. Express the velocity in terms of its radial and tangential (polar) coordinates.
John's mass on the Earth is 65 kg. What are his metric mass and weight on Mars where g=3.72m/s^2
A light beam strikes a piece of glass at a 60 degree incident angle. The beam includes two wavelengths, 450 nm and 700 nm, for which the index of refraction of the glass is 1.4820 and 1.4742, respectively. What is the angle among the two refracted be..
The coefficient of static friction between the ladder and the ground is 0.55, and the ladder makes a 50.0° angle with the ground. Explain how far up the ladder can an 720 N person climb before the ladder begins to slip?
A 0.113 kg remote control 17.4 cm long rests on a table, as shown in the figure below, with a length L overhanging its edge. How large is the normal force when the button is pressed
Five forces act on an object: (1) 60.0 N at 90°, (2) 40.0 N at 0°, (3) 80.0 N at 270°, (4) 40.0 N at 180°, and (5) 50.0 N at 60°. What is the magnitude and direction of a sixth force that would produce equilibrium?
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