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Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which charge is continuously deposited by a moving belt. Charge can be added until the electric field at the surface of the dome becomes equal to the dielectric strength of air. Any more charge leaks off in sparks as shown in the figure below. Assume the dome has a diameter of 40.0 cm and is surrounded by dry air with a "breakdown" electric field of3.00 106 V/m.
(a) What is the maximum potential of the dome?
(b) What is the maximum charge on the dome?
what is the maximum weight of the crate that the system can support? What is the angle needed for equilibrium.
The pilot of an airplane travelling 200 km/h wants to drop supplies to flood victims isolated on a patch of land 165m below. The supplies should be dropped how various seconds before plane is directly overhead.
A particle moves along the x-axis. Its position varies with time according to the expression x(t) = -4t + 2t2, where x is in meters and t is in seconds. a) Determine the displacement of the particle in the two time intervals t = 0 to t = 1 s and t..
An athlete at the gym holds a 2.5 kg steel ball in his hand. His arm is 70 cm long and has a mass of 4-kg. What is the magnitude of the torque about his muster if he holds his arm straight out to his side, parallel to the floor.
To determine the specific heat of an object, a student heats it to 100 in boiling water. She then places the 68.5 object in a 196 aluminum calorimeter containing 135 of water. The aluminum and water are initially at a temperature of 19.5, and are ..
A paratrooper pilot fell 360 m after jumping without his parachute opening. He landed in a snow bank, creating a crater 1.50 m deep, but survived with only minor injuries. Assume the pilot's mass was 80 kg and his terminal velocity was 50 m/s.
An alert physics student stands beside the tracks as a train rolls slowly past. He notes that the frequency of the train whistle is 443 Hz when the train is approaching him.
The longest "string" (a thick metal wire) on a particular piano is 3.0 m long and has a tension of 300.0 N. It vibrates with a fundamental frequency of 27.5 Hz. What is the total mass of the wire.
Assume, instead, that the observer had been moving away from Earth with a speed of 0.80c. How much time would observer have measured for the car to be filled in this case.
An airplane flies eastward and accelerates uniformly. At one position along its path it has a velocity of 33.5 m/s. It then flies a further distance of 46.9 km and its velocity is 43.1 m/s. Find the airplane's acceleration and calculate how much t..
The plates of a parallel plate capacitor are separated by d = 2.8 cm. The potential of the negative plate is 0 V, and the potential halfway between the plates is +15 V. What is the electric field between plates (take the upward direction as the po..
It takes a minimum distance of 48.96 m to stop a car moving at 12.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance when the car is moving at 26.0 m/s.
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