A muon and an antimuon, both with negligible kinetic energy, annihilate each other to produce two photons. The mass of each particle is 1.89×10−28kg, Planck's constant h=4.14×10−15eV⋅s,1eV=1.6×10−19J.

Part A:

Determine the energy in electron volts (eV) of each photon.

Part B:

Determine the frequency of each photon.

Part C:

Determine the wavelength of each photon.

Professor Modyn wants to power his refrigerator with a heat engine. A Carnot heat engine receives heat from a reservoir at 493.0°C at a rate of 767 kJ/min and rejects heat to the ambient air at 29.1°C. The entire work output of the heat engine is used to drive a refrigerator that removes heat from the refrigerated space at -3.23°C and transfers it to the same ambient air at 29.1°C. Note: The IUPAC sign conversion for work is used. Work into the system has a positive value.

a) Determine the maximum rate of heat removal from the refrigerated space (kW)

b) Determine the total rate of heat rejection to the ambient air. Heat rejection is a negative value. Account for both the heat engine and refrigerator. (kW)

A force, in the direction of increasing x, acts on an object moving along the x axis. If the magnitude of the force is F = 10·eN, where x is in meters, find the work done by the force as the object moves from x = 0 to x = 2.0 m

plz answer asap! thank you

On average, both arms and hands together account for 13% of a person's mass, while the head is 7.0% and the trunk and legs account for 80%. We can model a spinning skater with her arms outstretched as a vertical cylinder (head, trunk, and legs) with two solid uniform rods (arms and hands) extended horizontally. Suppose a 75.0 kg skater is 1.60 m tall, has arms that are each 66.0 cm long (including the hands), and a trunk that can be modeled as being 33.0 cm in diameter. If the skater is initially spinning at 79.0 rpm with her arms outstretched, what will her angular velocity ?2 be (in rpm ) after she pulls in her arms and they are at her sides parallel to her trunk? Assume that friction between the skater and the ice is negligble.

A. A ball is launched from ground level, as in the simulation above, with initial velocity components of 40.0 m/s horizontally and 42.0 m/s vertically. Use g = 10 m/s/s, and neglect air resistance.

Exactly 2.00 seconds after launch, what is the angle of the ball’s velocity, measured from the horizontal? _______ degrees

B. A ball is launched from ground level, as in the simulation above, with initial velocity components of 40.0 m/s horizontally and 42.0 m/s vertically. Use g = 10 m/s/s, and neglect air resistance.

What is the range of the ball? We're looking for the horizontal distance from the launch point to the landing point, assuming the ground is completely level. _______ m

Answer questions 1-3 with clockwise, counterclockwise, or zero. Show your work.

1. A loop of wire is oriented horizontally, so that a vector normal to the loop is oriented downward. An external magnetic field is directed due west, at an angle of 14° above the horizontal. The magnitude of the field is decreasing over time. As viewed from above, the induced current is:

2. ____________________

3. A loop of wire is oriented horizontally, so that a vector normal to the loop is oriented upward. An external magnetic field is directed northeast, at an angle of 34° above the horizontal. The magnitude of the field is increasing over time. As viewed from above, the induced current is:

   ____________________

4. A loop of wire is oriented vertically, so that a vector normal to the loop is oriented to the east. An external magnetic field is directed east. The loop begins to rotate around a vertical rotation axis. As viewed from the east, the induced current is:

   ____________________

5. A circular loop of radius 1.79 m is mounted on top of a truck. Initially the truck is at rest oriented so that a vector normal to the loop points north. At this location, the Earth’s magnetic field has a magnitude of 49.6 μT and a direction of due north, 63° below the horizontal.

1. Over the course of 9.0 seconds, the truck accelerates north, so that at the end of the time interval, the truck is moving at 14.0 m/s north. Find the magnitude of the average induced emf in the loop during this time interval and the direction of the induced current, as viewed from the south.

   ६ Ind = ____________________ direction of Iind = ____________________

2. Over the course of the next 5.0 seconds, the truck turns, so that at the end of the time interval, the truck is moving at 14.0 m/s east. Find the magnitude of the average induced emf in the loop during this time interval and the direction of the induced current, as viewed from the east.

   ६ Ind = ____________________ direction of Iind = ____________________

IP A soccer ball is kicked with an initial speed of 10.8 m/s in a direction 26.0 ∘ above the horizontal.

a) Find the magnitude of its velocity 0.250 s after being kicked.

b) Find the direction of its velocity 0.250 s after being kicked.

c) Find the magnitude of its velocity 0.500 s after being kicked.

d) Find the direction of its velocity 0.500 s after being kicked.

e) Is the ball at its greatest height before or after 0.500 s ? before or after

A ceiling fan with 90-cm-diameter blades is turning at 68 rpm . Suppose the fan coasts to a stop 29 s after being turned off.

part A) What is the speed of the tip of a blade 10 s after the fan is turned off?

part B) Through how many revolutions does the fan turn while stopping?

Bowling balls can be made from a variety of substances and are required to have a circumference of roughly 27.4 inches. The construction of the ball typically consists of a high density core surrounded by a lower density shell. Suppose a bowling ball floats in water with half of its volume submerged. If the specific gravity of the shell is 0.350 and the specific gravity of the core is 0.800, calculate the thickness of the shell.

How much heat is required to convert 12.0 g of ice at-10.0 degrees C to steam at100.0 degrees C ? Express your answer in joules and in calories.

Although gas station owners lock their tanks at night, a gas station owner in your neighborhood was the victim of theft because his employee had a key to the tank. The owner of the gas station wants to bury the gasoline so deep that no vacuump pump, no matter how powerful, will be able to extract it. He has hired you as a general contractor to dig the holes for the tanks. What is the minimum depth needed for the surface of the gasoline to be unsiphonable? Assume the specific gravity of gasoline is 0.744. (You can ignore the drop rate of the gasoline level inside the tank.)

The gas station owner balks at your estimate. He neither has the funds nor approval from the city to dig that deeply. However, you tell him that the best a thief could hope to have at his disposal is a 194-mbar vacuum pump. Anything better would be enormously expensive. Given this information, how deep would the gasoline have to sit below the surface to keep it safe from thieves?

A 1.30 kg , horizontal, uniform tray is attached to a vertical ideal spring of force constant 200 N/mand a 275 g metal ball is in the tray. The spring is below the tray, so it can oscillate up-and-down. The tray is then pushed down 13.3 cm below its equilibrium point (call this point A) and released from rest.

A) How high above point A will the tray be when the metal ball leaves the tray? (Hint: This does not occur when the ball and tray reach their maximum speeds.) B)How much time elapses between releasing the system at point A and the ball leaving the tray? c)How fast is the ball moving just as it leaves the tray?

a. How long (in s) would it take a 1.50 ✕ 105 kg airplane with engines that produce of 100 MW of power to reach a speed of 300 m/s and an altitude of 12.0 km if air resistance were negligible? b. If it actually takes 850 s, what is the power applied, in megawatts? c. Given this power, what is the average force (in kN) of air resistance if the airplane takes 1200 s? (Hint: You must find the distance the plane travels in 1200 s assuming constant acceleration.)