A square loop of wire with sides of length 34 cm is in a uniform magnetic field perpendicular to its area.

Part A

If the field's strength is initially 110 mT and it decays to zero in 0.011 s , what is the magnitude of the average emf induced in the loop?

Part B

What would be the average emf if the sides of the loop were only 17 cm ?

Express your answer using two significant figures.

A blow-dryer and a vacuum cleaner each operate with a voltage of 120 V. The current rating of the blow-dryer is 9.2 A, while that of the vacuum cleaner is 5.9 A. Determine the power consumed by (a) the blow-dryer and (b) the vacuum cleaner. (c) Determine the ratio of the energy used by the blow-dryer in 18 minutes to the energy used by the vacuum cleaner in 56 minutes.

In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines:

2.5 km 45° north of west; then
4.70 km 60° south of east; then
5.1 km straight east; then
7.2 km 55° south of west; and finally
2.8 km 10° north of east.

What is his final position relative to the island?
______ km
______ ° south of east

A refracting telescope with a lens whose diameter is 26.0cm is used to view a binary star system that emits light in the visible region.

What is the minimum angular separation of the two stars for them to be barely resolved?

If the binary star is a distance of 4.00

Why does the very thin region at the top of a soap bubble sometimes appear black?

1. It is too thin to reflect light. 2. Inverted light waves and non-inverted light waves reflecting from the two surfaces cancel each other. 3. Both reflected waves are inverted or else neither is inverted. 4. No light passes through them.5. The rest of the film creates a shadow that obscures the colors we would otherwise see.

As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaint concerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area (55 mph) is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibility can reduce to only 155 ft. Since fog is a common occurrence in this region, you decide to investigate. The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt ranges between 0.689 and 0.770, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt ranges between 0.450 and 0.617. Vehicles of all types travel on the road, from small VW bugs weighing 1070 lb to large trucks weighing 8550 lb. Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimum and maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reaching the intersection. minimum braking distance: ft maximum braking distance: ft Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximum desired speed limit. maximum speed limit: mph Which factors affect the soundness of your decision? Precipitation from the fog can lower the coefficients of friction. Newton's second law does not apply to this situation. Drivers cannot be expected to obey the posted speed limit. Reaction time of the drivers is not taken into account.

An alpha particle with kinetic energy 14.0 MeV makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude L=p0b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.50×10−12 m . (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number of lead is 82. The alpha particle is a helium nucleus, with atomic number 2.)

A) What is the distance of closest approach?

B) Repeat for b=1.50×10⁻¹³ m .

C) Repeat for b=1.50×10⁻¹⁴ m .

Various models are used to explain the interactions between science and religion. Discuss the NOMA model and its advantages and disadvantages.

According to Charles Townes, do you find paradoxes in religion and science? Give an example for each subject.

The power (in watts) used to move air out of the lungs is equal to the air pressure (in N/m²) multiplied by the air flow rate (in m³/s). For quiet breathing (where p = 100 N/m² and flow rate = 100 cm³/s or 1.0 x 10^-4 m³/s), the power involved = 0.01 W ; for loud singing (where p = 4000 N/m² and flow rate = 400 cm³/s or 4.0 x 10⁴ m³/s), the power involved = 1.6 W.

In problem P7 (above), we determined that the total power involved in moving the air at a pressure of 4000 N/m² (loud singing) = 1.6 W. The fraction (in %) of this total power that is converted into and radiated as sound = _______ %.

A 40-g block of ice is cooled to

−69°C

and is then added to 570 g of water in an 80-g copper calorimeter at a temperature of 23°C. Determine the final temperature of the system consisting of the ice, water, and calorimeter. (If not all the ice melts, determine how much ice is left.) Remember that the ice must first warm to 0°C, melt, and then continue warming as water. (The specific heat of ice is 0.500 cal/g · °C = 2,090 J/kg · °C.)

1. How does the center of mass velocity of the two objects which collide change during an elastic collision? Inelastic collision? Explain.

2. In an inelastic collision, the forces between the two gliders are equal and opposite according to newtons 3rd law. What makes the energy gained by one object unequal (less) than the energy lost by the other in an inelastic collision?

6. Using Gauss’s Law, find the electric field a distance r from a line of positive charge of infinite length and a constant charge per unit length λ. Draw a diagram, a Gaussian surface and completely prove your answer

The drive propeller of a ship starts from rest and accelerates at 2.56 x 10^-3 rad/s² for 2.48 x 10³ s. For the next 1.47 x 10³ s the propeller rotates at a constant angular speed. Then it decelerates at 2.80 x 10^-3 rad/s² until it slows (without reversing direction) to an angular speed of 2.88 rad/s. Find the total angular displacement of the propeller.