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a. By using integral calculus, find the area of the region bounded by the graphs of y = x^2 and y = 4. (x and y are in meters.)
b. Consider with the shape with the area calculated in a). The area mass density (sigma=dm/dA) of this material is given by sigma(x, y) = 1 + 2y + 6x2. [in kg/m2]. Obtain the mass of this object.
c. Calculate the rotational inertia of this object when it is spinning around y-axis.
d. Calculate the rotational inertia of this object when it is spinning around x-axis.
A solenoid is to be constructed that will have a resistance of 5.00 ohms and produce a magnetic field of 0.0400 T at its center when it carries a current of 4.00 A. The solenoid will be made of wire that is 0.500 mm in diameter and have a radius that..
A 1.00 kg glider on a horizontal air track is pulled by a string at an angle θ. The taut string runs over a pulley and is attached to a hanging object of mass 0.500 kg .
A 5.2 x10^2-newton girl takes 10. Seconds to run up two flights of stairs to a landing, a total of 5.0 meters vertically above her starting point. What power does the girl develop during her run.
The ice has a thickness of 4.75 10-4 m, and the windshield has an area of 1.25 m2. The density of ice is 917 kg/m3. Explain how much heat is required to melt the ice?
A major-league pitcher can throw a baseball in excess of 41.9 m/s. If a ball is thrown horizontally at this speed, how much will it drop by the time it reaches the catcher who is 18 m away from the point of release.
Two converging lenses are placed 88.0 cm apart. An object is placed 1.100 m to the left of the first lens, What is the focal length of the second lens
Two ball shells are nested together ( centers exerting). The smaller balls diameter is R1 and bigger ones R2, Derive capacitance of the system from its definition C=Q/I?VI
A sealed tank containing seawater to the height of 11.10 m also contains air above the water at a gauge pressure of 3.20 atm. Water flows out from the bottom throughout a small hole.
At the start of his race, an 84-kg runner pushes against the starting block, Determine the horizontal speed of the runner after the force is exerted for 0.32s
If the average frequency emitted by a 200,-, rm W light bulb is 5.00 times 10^ {14}, {rm Hz}, and 10.0 percent of the input power is emitted as visible light, about how many visible-light photons are emitted per second.
You have a cube with electic potential that varies with V=kx3. What is the total charge enclosed in the cube
Explain how long will it take her to reach the bottom of the hill, assuming she starts from rest and accelerates uniformly, if the elevation change is 425 {rm m}?
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