Engine Cycles

a. Write a description of an 'engine cycle'. Use figures, grabs and/or image to help support your description. Cite and material that used to prepare this description.

b. Provide a real world example of an engine cycle(that is NOT a car, truck, lawn mower or other engine). Describe the transfer of energy through the cycle.

Would the voltage of a battery in circuit be larger or smaller than the voltage of a battery out of circuit? Why?

A Ferris wheel with a diameter of 35.0 m in , starts from rest and achieves its maximum operational tangential speed of 2.20 m/s in a time of 15.0 s. a.) what is the magnitude of the wheel

A proton moving to the right at 6.2 × 10^5 ms^-1 enters a region where there is an electric field of 62 kNC^-1 directed to the left. Describe qualitatively the motion of the proton in this filed. What is the time taken by the proton to come back to the point where it entered the field? (Use the standard values of the mass and charge of a proton) Be as descriptive as possible, please!

In the vertices of a square of side 2x10 ^ -7 four protons are placed. A fifth proton is initially perpendicular to the square at its center at a distance of 2x10 ^ -9 m from it. Calculate (a) the minimum initial velocity of the fifth proton you need to get to the center of the square (b) your initial and final accelerations. (c) graph the potential energy of the proton as a function of its distance from the center of the square.

Find the radius of an electron's orbit when it moves perpendicular to a magnetic field of 0.46 T with a speed of 6.29×10⁵ m/s .

Express your answer using two significant figures.

Electric Potential and Potential Energy (Uniform Fields) The potential difference ∆V needed to stop a moving charged particle is called the “stopping potential.” Suppose a proton is moving in the +x direction with an initial speed of 7.1 x 106 m/s. Assume the electric force is the only relevant force in this problem. a) Find the stopping potential necessary to bring the proton to rest. b) In which direction is the electric field pointing in order to slow the proton down? c) At the initial position of the proton, the electric potential is 220,000 Volts (220 kilovolts or kV). What is the electric potential at the position where the proton comes to rest? d) Would an electron traveling at the same speed requires greater or lesser magnitude stopping potential? Explain your answer (hint: do an electron and proton moving at the same speed have the same kinetic energy?).

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An electron is initially at ground level, and the electric potential at that point is assumed to be exactly zero. The electron is immersed in a uniform electric field that points down with a magnitude of 4.4 x 10-11 N/C as well as Earth’s gravitational field (9.8 N/kg, pointing down). Only gravity and the electric force have any effect in this problem. a) If the electron is given an initial upward velocity of 36 m/s, to what maximum height above ground level does it reach? b) What is the change in electric potential energy (final - initial) during this motion? c) How much work is done by the electric force during this motion? d) What is the voltage at the electron’s maximum height?

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will vote, please show work and signs

1.The Celestar 8 telescope available in the Physics Lab is described on Blackboard. The primary mirror of a Celestar 8 has an aperture of 203 mm, and the secondary mirror that blocks the primary mirror has a diameter of 70 mm. The focal length of the primary mirror is 2032 mm. Using this information calculate the following:

a) [2 marks] The fraction of the incoming light blocked by the secondary mirror.

b) [3 marks] The light gathering power of the Celestar 8 telescope, relative to the human eye with a pupil size of 7 mm, in each of these cases: i) Taking into account that the secondary mirror blocks some of the incoming light. ii) Ignoring the blockage of light by the secondary mirror.

c) [2 marks] The resolution of the telescope under ideal conditions (no air turbulence) measured in seconds of arc. Assume that you are observing with the visible wavelength of 550 nm.

d) [2 marks] The diameter, in metres, of the smallest crater that you can observe on the Moon’s surface with the Celestar 8 telescope, assuming ideal seeing conditions (no atmospheric turbulence), visible light with wavelength 550 nm, and the distance to the Moon found on the course formula sheet.

e) [1 mark] The magnification of the Celestar 8 telescope if a 15 mm focal length eyepiece is used.

A 1220-kg car pulls a 390-kg trailer. The car exerts a horizontal force of 3.6 × 10³ N against the ground in order to accelerate.

What force does the car exert on the trailer? Assume an effective friction coefficient of 0.19 for the trailer.

(Express your answer to two significant figures and include the appropriate units.)

A 7800 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.15 m/s2 and feels no appreciable air resistance. When it has reached a height of 575 m , its engines suddenly fail so that the only force acting on it is now gravity. A) What is the maximum height this rocket will reach above the launch pad? b)How much time after engine failure will elapse before the rocket comes crashing down to the launch pad? c)How fast will it be moving just before it crashes?

Beginning with the Weizsäcker semi-empirical mass formula, show that the minimum in a mass parabola occurs at a value of atomic number, Zmin, given by

Note: The Weizsäcker semi-empirical mass formula for the binding energy, B, of a nucleus is where A is the atomic mass number of the nucleus and Z is the atomic number of the nucleus. Hint: Although atomic number, Z, only takes integer values, assume it is a continuous variable for the purpose of this exercise.

The expression for atomic mass, m, at the bottom of Page 4/10 of the lecture notes can then be regarded as a quadratic function of Z.

Take ¶m/¶Z, the partial derivative of the expression as a function of Z. ¶m/¶Z is zero at the minimum value of m. Therefore, setting ¶m/¶Z to zero and solving for Z gives you Zmin. Zmin = mn −m p ( −me )c2 +aC A−1/3 +4asym 2aC A−1/3 +8asym A−1 B=+ aV A − aS A2/3 − aC Z(Z −1) A1/3 − asym (A−2Z ) 2 A −aP 1 A3/4

QUESTION 1

1. If the metallic ball is launched at an angle of 25° above the horizontal at a speed of 14 m/s. The ball returns to level ground. Which combination of changes must produce an increase in time of flight of a second launch?

   		decrease the launch angle and decrease the ball’s initial speed
   		increase the launch angle and decrease the ball’s initial speed
   		decrease the launch angle and increase the ball’s initial speed
   		increase the launch angle and increase the ball’s initial speed

10.00000 points   

QUESTION 2

1. If the metallic ball is thrown vertically upward into the air. What is the instantaneous acceleration of the ball at its highest point?   

   		changing from 9.8 m/s2 up to 9.8 m/s2 down
   		9.8 m/s2 up.
   		9.8 m/s2 down.
   		zero.

10.00000 points   

QUESTION 3

1. A projectile is fired with an initial velocity of 120.0 m/s at an angle, θ, above the horizontal. If the projectile’s initial horizontal speed is 55 meters per second, then angle θ measures approximately

   		13°
   		27°
   		63°
   		75°

10.00000 points   

QUESTION 4

1. If the metallic ball is propelled with an initial velocity of 60. m/s at 37° above the horizontal. The horizontal component of the golf ball’s initial velocity is

   		30. m/s
   		40 m/s
   		48 m/s
   		36 m/s

10.00000 points   

QUESTION 5

1. A projectile is thrown with an initial velocity of 100 m/s north is given an acceleration of 10 m/s2 south. What will its velocity be after 6.0 s?
   

   		60 m/s north
   		40 m/s north
   		40 m/s south
   		60 m/s south

10.00000 points   

QUESTION 6

1. A projectile is fired at an angle of 45° above the horizontal. Assume that air resistance is not significant. While the projectile is in flight, the acceleration…….

   		increases
   		decreases
   		is maximum
   		is constant

10.00000 points   

QUESTION 7

1. If the metallic ball is shot with an initial velocity of 10 meters per second at an angle of 30.° above the horizontal. The magnitude of the horizontal component of the ball’s initial velocity is

   		9.8 m/s
   		8.7 m/s
   		5.0 m/s
   		10 m/s

10.00000 points   

QUESTION 8

1. If the metallic ball is thrown straight down with an initial velocity of 50 m/s. (g = 10 m/s2 down). After 2.0 s the magnitude of its velocity is:

   		70  m/s
   		62  m/s
   		110 m/s
   		30  m/s
   		2.5 m/s

A(n) 7.8-kg object is sliding across the ice at2.34 m/s in the positive x direction. An internal explosion occurs, splitting the object into two equal chunks and adding 12 J of kinetic energy to system. The explosive separation takes place over a 0.16-s time interval. Assume that the one of the chunks after explosion moves in the positive xdirection. The x component of the average acceleration of this chunk during the explosion is afrontx, the x component fo the average acceleration of the other chunk during the explosion is arearx.

What are the x components of the average accelerations of the two chunks during the explosion?

Enter your answers numerically separated by a comma.