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Question1
A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a measurement grid. To include an extra degree of randomness, coordinates of the center of mass of the three dice are used as well. The mases of the three dice are 12.7 g, 14.5 g, and 18.3 g, and their particular coordinates after one particular throw are (0.459 m, -0.225 m), (-0.231 m, 0.307 m), and (-0.427 m, -0.411 m). What is resulting coordinates of the center of mass of the dice, xcm and ycm?
Question2
Solar radiation enters a narrow, rectangular, east-west canyon at noon. The valley is 100m wide and sides of the canyon are 100m tall. The walls and floor of canyon have an albedo of 0.30. Think about how an individual solar beam is depleted by reflection within canyon.
This beam enters the canyon at 45 and strikes south slope at 70m from the valley floor and is reflected at 90o. Using your computer or graph paper and a straight edge (such as do not draw freehand), illustrate a diagram showing these exchanges and calculate the efficient canyon albedo.
Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in an elastic, glancing collision. Determine the final speed of each disk
A charge +7.4 %u03BCC is placed at the center of the hollow spherical conductor with the inner radius 3.2 cm, What is the total charge on the interior
In a diesel engine, the piston compresses air at 302 K to a volume that is 0.0612 of the original volume and the pressure that is 46 times the original pressure. What is the temperature of the air after the compression.
A dentist uses a mirror to examine a tooth. The tooth is 1.04 cm in front of the mirror, and the image is formed 11.1 cm behind the mirror. Determine the mirror's radius of curvature
A hiker's trip consists of three segments. Path A is 8-km long heading 60.0 degrees north of east. Path B is 7.0 km long in a direction due east. Path C is 4sa-km long heading 315 degrees counter clockwise from east. Graphically add hiker's displa..
A large wheel is coupled to a wheel with half the diameter. How does the rotational speed of the smaller wheel compare with that of larger wheel? How do the tangential speeds at the rims compare (assuming the belt doesn't slip).
The x-position of a particle is given by the expression x(t)=(4.0 m)cos(4.0?t+ 5.0?) , where x is in meters and t is in seconds. What is the maximum velocity of the particle
Calculate the peak output voltage of a simple generator whose square armature windings are 5.50 cm on a side
A. The rate of hydrogen fusion (proton-proton chain) near 10^7 K increases with temperature as T^5. If you raise the temperature of the hydrogen-burning core by 10 percent, how much does the hydrogen fusion energy increase?
If the length of the field between goal lines in the Earth frame is 85.2 m, what length is measured in the rest frame of the particle
How much of the rope must be pulled. Find the magnitude of the magnetic field at the point x = 0, y = 0.7 m, z = 0.
While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier swings back, Calculate the frequency of oscillation (in Hertz) of the chandelier
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