MasteringPhysics: Assignment Print View
Uniform Circular Motion
Learning Goal: To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's pos
12.1.
Solve: (b)
Model: Model the sun (s), the earth (e), and the moon (m) as spherical. (a)
Fs on e =
Gms me (6.67 10 -11 N m 2 / kg 2 )(1.99 10 30 kg)(5.98 10 24 kg) = 3.53 10 22 N = (1.50 1011 m ) 2 rs2 e -
Fm on e =
GMm Me (6.67 10 -11 N m 2 / kg 2 )(
11.1. Visualize:r Please refer to Figure Ex11.1. r
Solve: (b) (c)
(a) A B = AB cos = ( 4)(5)cos 40 = 15.3. r r C D = CD cos = (2)( 4)cos120 = -4.0. r r E F = EF cos = (3)( 4)cos 90 = 0.
11.2. Visualize:r Please refer to Figure Ex11.2. r
Solve: (b) (c)
(a)
10.1. Model: We will use the particle model for the bullet (B) and the bowling ball (BB).
Visualize:
Solve:
For the bullet,
KB =
For the bowling ball,
1 1 2 mB vB = (0.01 kg)(500 m /s) 2 = 1250 J 2 2 1 1 2 mBB vBB = (10 kg)(10 m / s) 2 = 500 J 2 2
K BB =
Solve: (a) The momentum p = mv = (1500 kg)(10 m /s) = 1.5 10 4 kg m /s . (b) The momentum p = mv = (0.2 kg)( 40 m /s) = 8.0 kg m /s .
9.1. Model: Model the car and the baseball as particles.
9.2. Model: Model the bicycle and its rider as a particle. Also
8.1. Visualize:
Solve: Figure (i) shows a weightlifter (WL) holding a heavy barbell (BB) across his shoulders. He is standing on a rough surface (S) that is a part of the earth (E). We distinguish between the surface (S), which exerts a contact force, and
7.1. Solve: (a) From t = 0 s to t = 1 s the particle rotates clockwise from the angular position +4 rad to -2 rad. Therefore, = -2 - ( +4 ) = -6 rad in one sec, or = -6 rad s . From t = 1 s to t = 2 s, = 0 rad/s. From t = 2 s to t = 4 s the particle rotat
6.1. Model: We will assume motion under constant-acceleration kinematics in a plane.
Visualize:
Instead of working with the components of position, velocity, and acceleration in the x and y directions, we will use the kinematic equations in vector form. S
5.1.
Model: We can assume that the ring is a single massless particle in static equilibrium. Visualize:
Solve:
Written in component form, Newton's first law is
( Fnet ) x = Fx = T1x + T2 x + T3 x = 0 N
T1 x = - T1
T1y = 0 N Using Newton's first law: T2x =
4.1. Solve: A force is basically a push or a pull on an object. There are five basic characteristics of forces. (i) A force has an agent that is the direct and immediate source of the push or pull. (ii) Most forces are contact forces that occur at a point
3.1. Solve: (a) If one component of the vector is zero, then the other component must not be zero (unless the whole vector is zero). Thus the magnitude of the vector will be the value of the other component. For example, if Ax = 0 m and Ay = 5 m, then the
13.1. Model: The crankshaft is a rotating rigid body.
Solve: The crankshaft at t = 0 s has an angular velocity of 250 rad/s. It gradually slows down to 50 rad/s in 2 s, maintains a constant angular velocity for 2 s until t = 4 s, and then speeds up to 200
14.1. Solve: The frequency generated by a guitar string is 440 Hz. The period is the inverse of the frequency, hence
T= 1 1 = = 2.27 10 -3 s = 2.27 ms f 440 Hz
14.2. Solve: Your pulse or heart beat is 75 beats per minute. The frequency of your heart's osc
Material Science - involves investigating the relationships that exist between the structures and
properties of materials.
Materials Engineering - on the basis of the structure property correlations, designing or engineering the
structure of a material to
Topic 4: Plane and Solid Geometry
1. Deals with the properties of plane figures or geometrical shapes of two
dimensions.
A Plane Geometry
C Euclidean Geometry
B Solid Geometry
D Projective Geometry
2. Deals with the study of those properties of plane fig
REVIEW QUESTIONS IN MATHEMATICS
1. What is the absolute temperature of the freezing point
of water in degree Rankine?
a) 492
b) 0
c) 460
d) 273
2. A 10-liter pail is full of water. Neglecting the weight of
the pail, how heavy is its water content?
a) 5 kg
Node Equations for Op Amp Circuits
Introduction
The circuits in this problem each contain one or more ideal op amps. To analyze these circuits,
we write and solve a set of node equations.
Ideal op amps are described in Section 6.4 of Introduction to Elect
Statistics and Probability
1.In how many different ways can a ten question true false examination be
answered?
A 12
C 20
B 10
D 210
2.In how many can seven trees be planted in a circle?
A 720
C 1440
B 5040
D 49
3.What is the number of permutation of the l
1) What occurs in pn diodes when the minority carriers
that cross the depletion region under the influence
of the electric field gain sufficient kinetic energy to
be able to break covalent bonds in atoms with
which they collide?
A) Drif
B) Avalanche Break
GENERAL COMMANDS:
HOLD THE CHECKLIST
RESUME THE CHECKLIST
CANCEL THE CHECKLIST
SAY LAST
REPEAT LAST
LETS START AGAIN
RESTART THE CHECKLIST
LETS RESTART THE CHECKLIST FROM THE BEGINNING
VISUAL (Used during an approach. FO will no longer make approach callo
ANALYTIC GEOMETRY
Points and Lines
1. Point P2 is located at (-3, 13). If point P1 has an abscissa of 3, determine its ordinate if the distance between
P1 and P2 is 10 units.
2. Determine the coordinates of the point which is 3/5 of the way from the point
MasteringPhysics: Assignment Print View
Reading Quiz 3.1
Part A What is a vector? ANSWER: A quantity having both size and direction The rate of change of velocity A number defined by an angle and a magnitude The difference between initial and final displa
MasteringPhysics: Assignment Print View
Reading Quiz 2.1
Part A The slope at a point on a position-versus-time graph of an object is ANSWER: the object's speed at that point. the object's average velocity at that point. the object's instantaneous velocity
2.1.
Solve:
Model: The car is represented by the particle model as a dot. (a) Time t (s) Position x (m) 0 1200 1 975 2 825 3 750 4 700 5 650 6 600 7 500 8 300 9 0
(b)
2.2. Solve:
Diagram (a) (b) (c)
Position Negative Negative Positive
Velocity Positive Ne
1.1.
Solve:
1.2.
Solve:
Solve: (a) The basic idea of the particle model is that we will treat an object as if all its mass is concentrated into a single point. The size and shape of the object will not be considered. This is a reasonable approximation of
MasteringPhysics: Assignment Print View
Vector Cross Product
Let vectors , , and .
Calculate the following, expressing your answers as ordered triples (three comma-separated numbers). Part A Hint A.1 The cross product Hint not displayed ANSWER: Part B ANS
MasteringPhysics: Assignment Print View
Reading Quiz 14.1
Part A What is the name of the quantity represented by the symbol ANSWER: Angular momentum Angular frequency circular motion Centripetal acceleration ? Phase constant Uniform
Reading Quiz 14.2
Part
MasteringPhysics: Assignment Print View
Reading Quiz 13.1
Part A A new way of multiplying two vectors is introduced in Chapter 13. What is it called? ANSWER: Dot product Scalar product Angular product Tensor product Cross product
Reading Quiz 13.2
Part A
MasteringPhysics: Assignment Print View
Reading Quiz 12.1
Part A Who discovered the basic laws of planetary orbits? ANSWER: Newton Kepler Copernicus Faraday Einstein
Reading Quiz 12.3
Part A The gravitational force between two objects of masses is ANSWER:
MasteringPhysics: Assignment Print View
Reading Quiz 11.1
Part A The statement ANSWER: is called the law of conservation of energy. work-kinetic energy theorem. energy equation. weight-kinetic energy theorem. kinetic
Reading Quiz 11.2
Part A What is the t