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Two equal positive charges are on the axis; one point charge is at y = +a and the other is at y = -a. (a) Show that on the x axis the x component of the electric field is given by Ex = 2kqx/(x2 + a2)3
The gravitational and electric forces between the particles happen to have the same magnitude, so each particle experiences zero net force and the distance between the particles remains constant.
An electron is released from rest at a point midway between the charges and moves along the line connecting them. What is the electric potential energy of the electron when it is 15.0 cm from the 3.
A satellite is placed in orbit 5.00 105 m above the surface of the planet Jupiter. Jupiter has a mass of 1.90 1027 kg and a radius of 7.14 107 m. Find the orbital speed of the satellite.
Suppose that one of the capacitors is first disconnected and then reconnected with its terminals reversed. Find the final voltage drop across the capacitors.
A jetliner is moving at a speed of 210 m/s. The vertical component of the plane's velocity is 45.1 m/s. Determine the magnitude of the horizontal component of the plane's velocity.
Rotating Fan A rotating fan completes 1200 revolutions every minute. Consider a point on the tip of a blade, at a radius of 0.16 m. aWhat is the magnitude of acceleration??
A uniform electric field of magnitude 450 N/C pointing in the positive x-direction acts on an electron, which is initially at rest. The electron has moved 3.10 cm. (a) What is the work done by the f
A car travels at a constant speed around a circular track whose radius is 3.1 km. The car goes once around the track in 370 s. What is the magnitude of the centripetal acceleration of the car?
A 20.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi. Finally, a 25.0-kg dog stands on the piston, further compressing the air, wh
A spring with a mass on the end of it hangs in equilibrium a distance of 0.4200m above the floor. The mass is pulled down a distance 0.0600m below the original position, released,and allowed to osci
What is the tangential acceleration of an object on the equator of this neutron star?
During the cycle, what are (a) the net energy entering the system (the gas) as heat and (b) the net work done by the gas? (c) What is the efficiency of the cycle?
An air conditioner operating between 93°F and 67°F is rated at 4000 Btu/h cooling capacity. Its coefficient of performance is 27% of that of a Carnot refrigerator operating between the same
To make ice, a freezer that is a reverse Carnot engine extracts 38 kJ as heat at -10°C during each cycle, with coefficient of performance 6.0. The room temperature is 33.9°C. How much:work p
The efficiency of a particular car engine is 26% when the engine does 6.3 kJ of work per cycle. Assume the process is reversible. What are (a) the energy the engine gains per cycle as heat Qgain fro
In a hypothetical nuclear fusion reactor, the fuel is deuterium gas at a temperature of about 9.8 x 108 K. If this gas could be used to operate a Carnot engine with TL = 496°C, what would be the
Find (a) the energy absorbed as heat and (b) the change in entropy of a 3.94 kg block of copper whose temperature is increased reversibly from 21.1°C to 88.4°C. The specific heat of copper i
With what minimum average speed must he move? (Ignore the fact that he can stretch, so that his racket can reach the ball before he does.)
You are traveling in a convertible with the top down. The car is moving at a constant velocity 24.5 m/s, due east along flat ground. You throw a tomato straight upward at a speed of 14.6 m/s. How fa
Relative to the ground determine the angle of the velocity vector of the package just before impact.
Suppose the water at the top of Niagara Falls has a horizontal speed of 3.1 m/s just before it cascades over the edge of the falls. At what vertical distance below the edge does the velocity vector
Particles of charge +75 µC and -85 µC are placed 0.7 m apart. If a third particle (charge: +48 µC) is placed exactly halfway between them, determine the net force on this third par
What is the ratio of the electric force holding an electron in (an assumed circular) orbit around a hydrogen nucleus (proton) to the gravitational force between the same two charged particles? (mp =
A quarterback claims that he can throw the football a horizontal distance of 183 m (200 yd). Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 25° a