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Set up the equation of motion in the xy plane and solve for the radius of the curvature and the trajectory when the magnetic field is small. (Hint: the velocity component in the x-direction is virtu
The radius of gyration of the wheel is 0.3 m. A 1.2 kg mass hangs at the end of a cord that is wound around th rim of the wheel. This mass falls and causes the wheel to rotate. What is the accelerat
During an expansion process, the pressure of a gas changes from 100 to 700 kPa according to the relation "P=aV+B", where a=1220 kPa/m^3 and b is a constant. If the initial volume of the gas is 0.2 m
A sample of blood is placed in a centrifuge of radius 13.0 cm. The mass of a red blood cell is 3.0 multiplied by 10-16 kg, and the magnitude of the force acting on it as it settles out of the plasma i
A boat has a mass of 6800 kg. Its engines generate a drive force of 4100 N, due west, while the wind exerts a force of 740 N, due east, and the water exerts a resistive force of 1200 N due east. Wha
What is the formula that describes how the acceleration of an object on an inclined plane depends on the angle the incline is elevated (with respect to the horizontal)?
Particle A of charge 7.00 10-4 C is at the origin, particle B of charge -8.00 10-4 C is at (6.00 m, 0) and particle C of charge 2.00 10-4 C is at (0, 4.00 m). (a) What is the x-component of the elec
A parallel plate capacitor has plates each of area 100 cm2 and with separation 0.25 mm. If this capacitor is charged with 25 pC, what is the average charge density on the positive plate?
A parallel plate capacitor is charged to 12 V and the voltage source is then disconnected. When the air space between the plates is then filled with a dielectric of constant 6.0, what is the resulti
When an insulator with dielectric constant 5.0 is inserted between the plates, what happens to the electric field strength if the surface charge density does not change?
A magnetic field Hz is now superimposed. Set up the equation of motion in the xy plane and solve for the radius of the curvature and the trajectory when the magnetic field is small. (Hint: the veloc
a. Doubling both charges changes the potential energy for a pair of a pint charges by a factor of? b. Tripling the separation between charges changes the potential energy of a pair of a point charges
If the coefficient of friction between the axe and grindstone is 0.4, find the normal force with which the axe was pressed aginst the grindstone.
Nitrogen gas in an expandable container is cooled from 50.0°C to 10.0°C with the pressure held constant at 3.00 x 105 Pa. The total heat liberated by the gas is 2.50 x 104 J. Assume that the g
Suppose 5.00 g of hydrogen is separated into electrons and protons. Suppose also the protons are placed at the earth's North Pole and the electrons are placed at the South Pole. What is the resulti
A charged particle A exerts a force of 2.60 µN to the right on charged particle B when the particles are 14.0 mm apart. Particle B moves straight away from A to make the distance between them
Calculate the absolute pressure at an ocean depth of 1000m. Assume that the density of sea water is 1024 kg/m^3 and that the air above exerts a pressure of 101.3 kPa.
A clock balance wheel has a period of oscillation of 0.300 s. The wheel is constructed so that its mass of 10.0 g is concentrated around a rim of radius 0.600 cm. What is the torsion constant of th
What is the maximum speed at which a 234-kg car can safely travel if the radius of the track is 80 m and the coefficient of friction is 0.46?
It collides and sticks to an identical stick, with an overlap length equal to x. Immediately before the collision, the pivot is removed. What should x be so that after the collision the double-stick
A person who weighs 625 N is riding a 98-N mountain bike. Suppose that the entire weight of the rider and bike is supported equally by the two tires. If the gauge pressure in each tire is 7.60 X 10^
Starting from rest, an electric drill rotates with constant angular acceleration. After the drill has rotated through a certain angle, the magnitude of the centripetal acceleration of a point on the
If two such drops of the same charge and radius combine to form a single spherical drop, what is the potential at the surface of the new drop?
A 3.6 vC change is moved from a position where its electric potential energy is 7.2 mJ to a position where its potential energy is 1.8 mJ. What is the change in potential from, the initial position
Determine the magnitude and direction of the net electrostatic force on the charge at x = +3.0 m. Specify the direction relative to the -x axis.