A 1.71 kg ball and a 3.27 kg ball are connected by a 1.76 m long rigid, massless rod. The rod is rotating clockwise about its center of mass at 24 rpm. What torque will bring the balls to a halt in 10.06 s? (Give an absolute value of torque.)

Particle X has a speed of 0.850 c and a momentum of 8.61×10^-19kgm/s. What is the mass of the particle?

What is the rest energy of the particle?

What is the kinetic energy of the particle?

What is the total energy of the particle?

Suppose a 10.0 kg fireworks shell is shot into the air with an initial velocity of 69.0 m/s at an angle of 80.0° above the horizontal. At the highest point of its trajectory, a small explosive charge separates it into two pieces, neither of which ignite (two duds). One 9.00 kg piece falls straight down, having zero velocity just after the explosion. Neglect air resistance (a poor approximation, but do it anyway).

(a) At what horizontal distance from the starting point does the 9.00 kg piece hit the ground?
m
(b) Calculate the velocity of the 1.00 kg piece just after the separation.
m/s
(c) At what horizontal distance from the starting point does the 1.00 kg piece hit the ground?
m

a) What is the speed of a beam of electrons that go undeflected when passing through crossed electric and magnetic fields of magnitude 1.39x10⁴ V/m and 2.92x10^-3 T, respectively? Give your answer to 3 sf.

b) Protons move in a circle of radius 5.2 cm in a 0.502 T magnetic field. What value of electric field could make their paths straight? Give your answer to 3 sf.

c) The beam of electrons goes undeflected when passing through crossed electric and magnetic fields of magnitude 1.37x10⁴ V/m and 2.92x10^-3 T, respectively. What is the radius of the electron orbit, in mm, if the electric field is turned off? Give your answer to 2 sf.

A fisherman notices that his boat is moving up and down periodically, owing to waves on the surface of the water. It takes 2.5 s for the boat to travel from its highest point to its lowest, a total distance of 0.62 m. The fisherman sees that the wave crests are spaced 6.0 m apart. (a) How fast are the waves traveling? (b) What is the amplitude of each wave? (c) If the total vertical distance traveled by the boat were 0.30 m, but the other data remained the same, how would the answers to parts (a) and (b) be affected?

What is the new charge density on the outside of the sphere?   Calculate the strength of the electric field just outside the sphere? What is the electric flux through a spherical surface just inside the inner surface of the sphere?

A small object moves along the xx-axis with acceleration ax(t)ax(t) = −(0.0320m/s3)(15.0s−t)−(0.0320m/s3)(15.0s−t). At tt = 0 the object is at xx = -14.0 mm and has velocity v0xv0x = 8.70 m/sm/s.

What is the xx-coordinate of the object when tt = 10.0 ss?

Express your answer with the appropriate units.

A mass m slides down a frictionless ramp and approaches a frictionless loop with radius R. There is a section of the track (between the ramp and the loop) with length 2R that has a kinetic friction coefficient of 0.5. From what height h must the mass be released to stay on the track? No figure.

1.5R 2.5R 3.5R 4.5R or 5.5R

In an experiment on the photoelectric effect, a beam of monochromatic light is aimed at a nickel-plated cathode. A scientist uses mathematical formulas to calculate the maximum speed of the electrons that the cathode releases. Which constant most limits the precision of the calculation?

Which example illustrates a behavior called “photoconductivity”?

A metallic film conducts electricity when an electric potential is applied across it.

A cathode emits electrons when it is struck by white light, which is a mixture of light of many frequencies.

A film with metallic properties becomes a better electrical conductor when light is shined upon it.

A cathode emits electrons when monochromatic light of a certain frequency strikes it.

Parasitic power theft:

A power line running East-West at 150kVAC carrying a 75 MWatt load is 10 meters overhead. A thief makes a 100 turn loop of insulated copper wire around a plastic garbage can with a 70cm diameter. The voltage generated in this coil is used to charge batteries for a fish-finder, lights and radio in his fish hut. The battery charger is electrically equivalent to a 5 ohm resistor.

a) What orientation of the garbage pail winding will allow the greatest rate of electricity theft?

b) Determine the voltage generated across the battery charger.

c) Residential power costs $0.10/kWh. What is the value of the power stolen per day.

d) Why would metal can be a bad choice?

e) Above the indication is that the other wire for the AC power transmission is very far away. In fact they both hang from the same structure. If each wire carries a 100amp current and they are separated by 50cm, determine the force per unit length on the wires

A 100 g lead ball at a temperature of 100◦C is immersed in 300 g of water with the temperature 20◦C contained in an insulated boiler whose heat capacity can be neglected. What will be the mixing temperature? What entropy change does the ball produce? What entropy change does the water bring?What will be the total entropy change?

A 0.10 kg heavy steel ball with a temperature of 200◦C is thrown into a lake with temperatures 20◦C. Which is the entropy change for the ball, for the sea and for the whole system (universe)

A typical American household uses 26.5 kW-hour of electricity per day, and that electricity is mostly supplied by fossil fuels. If we wanted to instead power a house by solar panels, which receive on average 370 W/m2 from the Sun each day and are 15.7% efficient (fraction of solar energy converted into useable electrical energy), what area of solar panels is needed to power an average American home?

Suppose that a molecular ion with charge -10e is embedded within the 5.0-nm-thick cell membrane of a cell with membrane potential -70 mV.

What is the electric force on the molecule?

Summarizing metaphysics in film. Provide a summary and explain the metaphysical concepts found in the film, the Sixth Sense.

One of the harmonic frequencies of tube A with two open ends is 836 Hz. The next-highest harmonic frequency is 912 Hz. (a) What harmonic frequency is next highest after the harmonic frequency 228 Hz? (b) What is the number of this next-highest harmonic? One of the harmonic frequencies of tube B with only one open end is 2940 Hz. The next-highest harmonic frequency is 3220 Hz. (c) What harmonic frequency is next highest after the harmonic frequency 3780 Hz? (d) What is the number of this next-highest harmonic?