If 39.6 cm of copper wire (diameter = 0.872 mm, resistivity = 1.69

A 40.0 kg child swings in a swing supported by two chains, each 3.00 m long. The tension is each chain at the lowest point is 350 N. Find (a) the child's speed at the lowest point and (b) the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.)

2. A cylinder is filled with helium gas at 323 K and 118 atmospheres. The volume of the cylinder is 3.07 liters. What is the total number of atoms in the gas?

3. One mole of helium gas at 297 K is allowed to expand slowly (isothermally) from an initial volume of 3.50 liters to a final volume of 16.1 liters. How much heat flows into the gas?

4. Helium gas is kept in a container surrounded by perfect vacuum p=0 (e.g. in space). The pressure inside the container is 288 Pa. Suddenly, the container breaks and the gas expands rapidly (i.e. adiabatically). What is the pressure of the gas when the volume has tripled?

A test rocket starting from rest at point A is launched by accelerating it along a 200.0-m incline at 1.80 m/s2 (Figure 1).The incline rises at 35.0∘ above the horizontal, and at the instant the rocket leaves it, its engines turn off and the rocket is subject to gravity only (ignore air resistance).

a) Find the maximum height above the ground that the rocket reaches.

b) Find the rocket's greatest horizontal range beyond point A.

The temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K at constant volume. What are (a) the work W done by the gas, (b) the energy transferred as heat Q , (c) the change ?E_int in the internal energy of the gas, and (d) the change ?K in the average kinetic energy per atom?

What is the result of increasing the number of slits on the resulting diffraction pattern? What is a diffraction grating? What are they used for? Assuming you have light incident on a diffraction grating, at what angle do you except the second-order diffraction maximum to appear?

Place the following list of scenarios in order from greatest energy required to least energy required, and explain using physics why you chose that order: i) A charge +q is brought in from ∞ to a distance r from a conducting sphere holding charge +Q; ii) A charge +q is brought in from ∞ to a distance r/2 from a conducting sphere holding charge +Q; iii) A charge +q is brought in from ∞ to a distance r from a conducting sphere holding charge +2Q; iv) A charge +q is brought in from ∞ to a distance r from a conducting sphere holding charge −Q; v) A charge +q is brought in from ∞ to an equidistance r from a conducting sphere of charge +Q and another sphere of charge −Q.

Consider the light passing from a means of refractive index n₁ to another of index n₂. Use the Fermat principle to minimize travel time and                                                                                     deduce the law of refraction: n₁sen (θ₁) = n₂sen (θ₂).

A 63.0 kg ice hockey goalie, originally at rest, catches a 0.150 kg hockey puck slapped at him at a velocity of 28.0 m/s. Suppose the goalie and the ice puck have an elastic collision and the puck is reflected back in the direction from which it came. What would their final velocities (in m/s) be in this case? (Assume the original direction of the ice puck toward the goalie is in the positive direction. Indicate the direction with the sign of your answer.)

masses m1 and m2 are stacked together on a level surface that has friction. The blocks are accelerating together to the right. There is static friction between the two blocks. Analyze the forces on each block

Three charges are placed in the following locations: Q1 of -90.0µC at the origin; Q2 of +94.5µC at (0, 40.0 cm); and Q3 of +69.6 µC at (68.0 cm, 0).

a) Determine the total electric field at “P” located at (68.0 cm, 40.0 cm).

b) A fourth charge, q4 of +52.0 µC is placed at P. Find the total force on q4.

c) Determine the total potential V at P.

d) Does q4 have any electrical potential energy at P?

e) How much work is involved to move q4 from P to a new location “S” at (136 cm, 0)? Did the electric field do the work or was an outside agent involved to get q4 from P to S?

Please be as clear and detailed as possible, explaining each step if possible

A 460 turn solenoid, 25 cm long, has a diameter of 2.2 cm. A short 2.6 cm diameter 12 turn coil is wound around the solenoid at its midpoint. What rate of change of current in the solenoid, will cause a 220

A freight company uses a compressed spring to shoot 1.90kg packages up a

The rechargeable batteries for a laptop computer need a much smaller voltage than what a wall socket provides. Therefore, a transformer is plugged into the wall socket and produces the necessary voltage for charging the batteries. The batteries are rated at 9.0 V, and a current of 272 mA is used to charge them. The wall socket provides a voltage of 120 V.

(a) Determine the turns ratio of the transformer

(b) What is the current coming from the wall socket?
I_p =

(c) Find the average power delivered by the wall socket and the average power sent to the batteries.
P_p =
P_s =