PHYSICS 2 Lecture Notes - Lecture 10: Conversion Of Units, Hypotenuse, Polar Coordinate System

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31 Oct 2018

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PHYSICS 2 Lecture 8: PHYSICS 2 - Lecture 8 - Differentiation, Slopes, Maxima and Minima

PHYSICS 2 Lecture Notes - Lecture 10: Conversion Of Units, Hypotenuse, Polar Coordinate System

PHYSICS 2 Lecture Notes - Lecture 12: Dot Product, Joule, Euclidean Vector

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Physics 2 - lecture 10 - introduction to vectors. A scalar quantity is fully described by a magnitude (a single number) alone. Ex: the number of people in this room. A vector quantity is described by both a magnitude and a direction. The magnitude of a vector may have units attached to it for example, the magnitude of the velocity of a particle has dimensions [l/t] and may have units of m/s. The direction is given by an angle with respect to some reference line. This angle can be given in degrees or in radians. Which of the following is a vector quantity: your age, temperature, mass, speed, none of the above. A coordinate system is used to describe the position of a point in space. A fixed reference point called the origin. Clearly defined positive and negative directions for each axis. We will discuss coordinate systems in 2 dimensions.

Related Questions

1. An object is dropped from a height.Once it is moving,which ofthe following statements are true,at least at one point?
a)its velocity is more than its accelerations
b)its velocity is less than its acceleration
c)its velocity is the same as its acceleration
d)its velocity is never equal to its acceleration

2. Which type of quantity is characterized by both magnitude anddirection?
a)scalar
b)vector
c)trigonometric
d)algebraic variable

3. A hiker walks 200m west and then walks 100m north. In whatdirection is her resulting displacement?
a)north
b)west
c)northwest
d)none of the answer is correct

4. Vector 1 is 7 units long and is at 70 degree. Vector 2 is 5units long and is at 225 degree. Vector 3 is a 3 units long and isat 150 degree. Which vector has equal magnitude components?
a)Vector 1
b)vector2
c)vector 3
d)none of the vectors has equal magnitude components??????

5. Which of the following is an example of the type of force thatacts at a distance?
a)gravitational
b)magnetic
c)electrical
d)all of the above

6. A crate weight W is being pushed across a horizontal surface bya force directed at an angle of 20 degrees below the horizontal.What is the magnitude of the normal force on the crate?
a)it is less then W
b)it equals W
c)it is more than W
d)none of the above since the coefficient of kinetic friction isnot given

7. The net force on an object is in the positive x-direction.Consider the following statements.
(i) The object can be moving in the negative x-direction.
(ii) The object can be speeding up.
(iii) The object can be slowing down.
(iv) The object can be moving in the positive y-direction.

Which of the statements are true?
a. (i) and (ii)
b. (ii) and (iii)
c. (iii) and (iv)
d. Choose this answer if all the statements are true.

8.The work done by static friction can be:
a. positive.
b. negative.
c. zero.
d. Any of the above.

9.The rate at which work is done is equivalent to which of thefollowing?
a. increase in potential energy
b. thermal energy
c. potential energy
d. power

10.The dimensional equivalent of the quantity impulse in terms ofthe fundamental quantities (mass, length,
time) is which of the following?
a. MLT-1
b. ML2T-2
c. MLT
d. MLT-2

11. The dimensional equivalence of the quantity "momentum" in termsof the fundamental quantities (mass,
length, time) is:
a. MLT-1.
b. ML2T-2.
c. MLT.
d. MLT-2.

12.In order for a satellite to be geosynchronous, its orbitmust:
a. go over the North and South Poles.
b. be over the equator.
c. be over a single longitude.
d. emit television signals.

13. The quantity "angular momentum" (in terms of the fundamentalquantities of mass, length, and time) is equivalent
to:
a. MLT-2.
b. ML2T-1.
c. ML2T-3.
d. ML3T.
d. MLT-2.

This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. Two vectors A and B lie in the xy plane and are given by A = Ax i + Ay j B = Bx i + By j, where Ax = 3.58 m, Ay = 2.85 m, Bx = 7.09 m, By = -6.36 m. Find the magnitude of R = A + B. Answer in units of m Find the angle theta (between -180 degree and + 180 degree with counterclockwise positive) that the vector R makes from the positive x axis. Answer in units of degree When the Sun is directly overhead, a hawk dives toward the ground at a speed of 7.23 m/s. If the direction of his motion is at an angle of 39.8 below the horizontal, calculate the speed of his shadow along the ground. Answer in units of m/s Vector A has a magnitude of 10 and points in the positive x-direction, Vector B has a magnitude of 17 and makes an angle of 32 degree with the positive x-axis. What is the magnitude of A - B? An airplane starting from airport A (lies 342 km east, then 531 km at 62.2 degree west of north, and then 778 km north to arrive finally at airport B. The next day, another plane flies directly from A to B in a straight line. In what direction should the pilot trawl in this direct flight? Use counterclockwise its the positive angular direction from due east, between the limits of - 180 degree ami 180 degree . Assume there is no wind during these flights. Answer in units of degree How far will the pilot travel in this direct flight? Answer in units of km A projectile is fired straight upward at 126 m/s. How fast is it moving at the instant it reaches the top of its trajectory? Answer in units of m/s How fast is it moving at the instant it reaches the top of its trajectory if the projectile is fired upward at 12 degree from the horizontal? Answer in units of m/s At one instant the velocity of a particle is and a very short time later its velocity has changed to . Qualitatively, what was the direction of the particle's acceleration during the interval between the first and second instance?

You are given a circular conducting wire loop with one
end cut out and connected to a resistor, R, as shown in
the figure to the right. A metal rod of length l is set at an
initial angle ?0 from the resistor, and then rotates
clockwise about the center of the wire loop with angular
frequency through a uniform magnetic field B
directed into the page. The metal rod stays in contact
with the wire loop at all points of its motion. Unless
otherwise requested, all answers should be in simplified
algebraic form using the above given variables.

(a) Given that the initial angle ?0 is in radians, what is theinitial area of the closed circuit âwedgeâdefined by ?0? (2pts.)
(b) What is the magnetic flux through this initial âwedgeâ areadefined by ?0? (2 pts.)
Starting at time t=0 at position ?0, the rod is rotated clockwisewith angular velocity as shown in
the figure. Given this configuration, answer questions (c)-(g)below:
(c) What is the direction of the induced magnetic field inside theâwedgeâ? (2 pts)
(d) What is the direction of the induced current around the closedcircuit? (2 pts)
(e) What is the magnitude of the induced emf, E in the circuit? (4pts)
(f) What is the magnitude of the induced current in the circuit? (4pts)
(g) What is the power used by the resistor? (4 pts)
(h) The metal rod is now rotated in the opposite direction, i.e. inthe counter-clockwise direction. Given this information, completethe chart below as to what quantities you just calculated change,and what ones do not change. You do not have to show work, justgive the result. No partial credit will be given here. (5pts)

Direction of induced magnetic field inside the âwedgeâ.
Direction of the induced current around the closed circuit.
Magnitude of the induced emf, E in the circuit.
Magnitude of the induced current in the circuit.
Power used by the resistor.

The setup is now modified slightly so that the circular conductingwire loop no longer has a small
section removed as shown in both figures below. This modificationwould allow the metal rod to
continuously rotate on the circular wire loop as clearlyillustrated in the 3D side view. The metal rod
is rotated clockwise, as in the initial part of the problem.

(i) Given this information, complete the chart below. You do nothave to show work, just give the
result. No partial credit will be given here. (5 pts)

Direction of induced magnetic
field inside the âwedgeâ.
Direction of the induced current
around the closed circuit.
Magnitude of the induced emf, E in
the circuit.
Magnitude of the induced current
in the circuit.
Power used by the resistor.

PHYSICS 2 Lecture Notes - Lecture 10: Conversion Of Units, Hypotenuse, Polar Coordinate System

PHYSICS 2 Lecture 8: PHYSICS 2 - Lecture 8 - Differentiation, Slopes, Maxima and Minima

PHYSICS 2 Lecture Notes - Lecture 10: Conversion Of Units, Hypotenuse, Polar Coordinate System

PHYSICS 2 Lecture Notes - Lecture 12: Dot Product, Joule, Euclidean Vector

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