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A car has a total mass of 1800kg. The volume of air space in the passenger compartment is 5.00m^3. The volume of the motor and front wheels is 0.750m^3 and thevolume of the rear wheels, gas tank, and trunk is 0.800m^, water cannot enter these areas. The car is parked on a hill; the handbrake cable snaps and the car rolls down the hill into a lake. (a) At first, no water enters the passenger compartment. How much of the car, in cubic meters, is below the water surface with the car floating. (b) As water slowly enters, the car sinks. How many cubic meters of water are in the car as it disappears below the water surface? (The car with a heavy load in the trunk, remains horizontal.)
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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