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A cylindrical section of a tree trunk 50 cm in diameter and 75 cm long is seen rolling at a speed of 12 m/s down a sloping road below a sawmill. (Wood has a density of 750 kg/m3.) Assuming that the road has an incline of 5% (meaning that if you travel 100 m along the road, you go up or down by 5 m), at least how far up the road is the sawmill? Describe any assumptions or approximations that you make.
The potential is constant throughout an entire volume. What must be true of the electric field within that volume
A thick-walled copper pipe (inner radius a and outer radius b) is centered on the z-axis and carries a current density of magnitude J(r)=B*r. (The parameter B has units A/m^3). A wire runs parallel to the pipe a distance R=2*b away from the z-axis..
A series RCL circuit has a resonant frequency of 1470 Hz. When operating at a frequency other than1470 Hz, the circuit has a capacitive reactance of 5.0 and an inductive reactance of 29.0. What is the value of L? What is the value of C?
A thermos contains 140 cm3 of coffee at 85° C. To cool the coffee, you drop two 15-g ice cubes into the thermos. What is the final temperature of the coffee
Two conductors having net charges of +16.0 µC and -16.0 µC have a potential difference of 16.0 V between them. (a) Determine the capacitance of the system.
Through a particular thunderstorm, the electric potential between a cloud and the ground is V cloud – V ground = 2.9 x 108 V, with the cloud being at the higher potential. What is the change in an electron's potential energy when the electron moves f..
A bullet of mass 0.2 kilogram moving horizontally at 450 m/s hits a 3 kilogram block that is at rest on a frictionless table. Find the speed of the block and momentum after impact
The tropical year, the time from vernal equinox to the next vernal equinox, is the basis for our calendar. Find the number of seconds in one and a half tropical years
The molecular mass of helium is 4 g/mol, the Boltzmann's constant is 1.38066 × 10?23 J/K, the universal gas constant is 8.31451 J/K · mol, What is the average kinetic energy of each helium atom
A softball of mass 0.220 kg that is moving with a speed of 5.5 m/s (in the positive direction) collides head-on and elastically with another ball initially at rest. Calculate the velocity of the target ball after the collision
A uniform electric field of magnitude 4.10 × 105 N/C points in the positive x direction, Find the change in electric potential energy
the pilot of an aircraft wishes to fly due west in a 67 kmh wind blowing toward the south. the speed of the aircraft
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