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Xavier and Yvette are the only two persons on an island. There are only two goods, nuts and berries. Xavier's utility function is U(Nx; Bx) = NxBx. Yvette's utility function is U(Ny; By) = 2Ny + By. Xavier has 3 berries and 8 nuts. Yvette has 6 berries and 8 nuts. In a competitive equilibrium for this island economy, how many units of berries will Xavier consume?
A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0o from its original direction. What is the speed of the init..
A worker pushes horizontally on a large crate with a force of 185 N, and the crate is moved 4.4 m. How much work was done
A car traveling at 30 m/s runs out of gas while traveling up a 10 slope. how far up the hill what coast before starting to roll back down
Consider the circuit shown below, consisting of four resistors and two (ideal) R1= 9.0 ohm R7 = 12 ohm, R3 = 18 ohm, R4 = 6 ohm, V1 = 20V, V2= 12 V. What is the current through resistor R4? (Hint: Can you do this with one loop equation?)
A wire carrying a 32.0 A current passes between the poles of a strong magnet perpendicular to its field and experiences a 2.12 N force on the 4.00 cm of wire in the field. What is the average field strength
In 1911, Ernest Rutherford discovered the nucleus of the atom by observing the scattering of helium nuclei from gold nuclei. how close will the helium atom come to the gold nucleus
Discover the electric field produced with an infinitely long cylindrical shell whose uniform surface density is? (I.e. this is charge per unit area) and radius is R both inside and outside the cylinder.
A 5.0 µC point charge is placed in an external uniform electric field of 2.00 104 N/C. At what distance from the charge is the net electric field zero
A train is moving slowly eastward at 4m/s. A child in the train has sent his robot walking at 1.2 m/s from the left side to the right side of the train, How long does it take the robot to move across the train
Calculate the self-inductance of a 55.0 cm long, 10.0 cm diameter solenoid having 1000 loops. How fast can it be turned off if the induced emf cannot exceed 3.00 V
Because Earth's rotation is gradually slowing, the length ofeach day increases: The day at the end of 1.0 century is 1.0 mslonger than the day at the start of the century. In 16 centuries, what is the total (in hours) of the daily increases in tim..
a uniform electric field of magnitude 380 nc pointing in the positive x-direction acts on an electron which is
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