Problem 2-0
A baseball pitcher throws a fastball at a horizontal speed of 160 km/h. Home plate is 18.4 m away? a) How long (in seconds) does it take the ball to reach home plate? b) If the batters reaction time is .135 s, how much time does the batte
1
Newtons First Law v v v v
Newtons Second Law Fnet v1 v2 a v3
Net Force F1
F4 F2 F3 = Fg
a
F1 = 8.0 N F2 = -2.0 N m = 1.5 kg a=?
F1
F2
Newtons Third Law
F2
F1
Friction
N F1 Ff
Fg
Friction (cont) N
Ff F1
F1
Fg
-N
Fg
Force of G
What is Physics?
Creativity in Physics
How you can determine the height of a tall building with the use of a barometer?
H S
H
h s
Creativity in Physics cont)
Models in Physics
8,000 mi
Significant Digits
A B CD
8 A= B=
9 C= D=
Significant D
Why Study Motion?
How do we know that the Earth interacts with the man?
Earth
Types of Motion
Constant velocity.
Both speed and direction are constant.
Accelerated motion.
Speed or direction or both change.
Speed
Some Common Speeds
8,000 mi
1
Work & Kinetic Energy F m vi d F m vf
Work
inetic inal K gy F Ener
itial Kinetic In Energy
Work m F x
F
m
Fcos
x
Work with a Variable Force Work = Fx This is true if F is constant. If F is not constant. Work = Fdx
F
F
x
Fs
x FS x
Co
1
Impulse & Momentum 1
t F m vi F m vf
t F m vi
Impulse & Momentum 2
F m vf
Sample Problem 1 F vi
m
vf
m
t
Sample Problem 2 F vi
m
t
Variable Impact Force
v
F
-v
F Fmax Fav
t
t1 t2
t
m = .0200 kg v = 30.0 m/s t2 = .0110 s Fmax = ?N
F
Chapter 3
u
r
A (25 m)i (45 m) and the positive x axis is:
j
19. The angle between
A) 29
B) 61
C) 151
D) 209
E) 241
u
r
u
r
u u
r r
A (2 m)i (6 m) (3 m)k and B (4 m)i (2 m) (1 m)k. Then A B equals:
j
j
27. Let
A) (8 m)i (12 m) j (3 m)k
B) (12 m)i (14 m) j
Name: _ Date: _
3. Each of the three 25- F capacitors shown is initially uncharged. How many coulombs
of charge pass through the ammeter A after the switch S is closed?
CAPACITANCE
1. Each of the four capacitors shown is 500 F. The voltmeter reads 1000V.
Final Reveiw Problems 1 Solutions
Final Reveiw Problems 1 Solutions
Final Reveiw Problems 1 Solutions
Final Reveiw Problems 1 Solutions
Final Reveiw Problems 1 Solutions
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Final Review Problems 2 Solutions
Final Review Problems 2 Solutions
Final Review Problems 2 Solutions
Final Review Problems 2 Solutions
Final Review Problems 2 Solutions
Problem 11-41
A man stands on a platform that is rotating (without friction) with an angular speed of 1.2 rev/s; his arms are outstretched and he holds a brick in each hand. The rotational inertia of the system consisting of the man, bricks, and plat
Problem 10-4
The angular position of a point on the rim of a rotating wheel is given by = 4.0 t 3.0 t2 + t 3, where is in radians and t is in seconds. What are the angular velocities at (a) t = 2.0 s and (b) t = 4.0 s? (c) What is the average angu
Problem 9-26
vf vi F
A 1.2 kg ball drops vertically onto a floor, hitting with a speed of 25 m/s. It rebounds with an initial speed of 10 m/s. (a) What impulse acts on the ball during the contact? (b) If the ball is in contact with the floor for 0.0
1
Work & Kinetic Energy F m vi d F=ma vf2 = vi2 + 2ad a = (vf2 - vi2 )/ 2d F d = m (vf2 - vi2 ) F m vf
F = m (vf2 - vi2 )/ 2d
F d = m vf2 - m vi2
Work
W = (KE)f - (KE)i
itial Kinetic In Energy
inetic inal K gy F Ener
Work m F
W = F x
x
F
m
1
Impulse & Momentum 1
t F m vi F m vf
F=ma
F = m v/t
F = m (vf vi)/t
F t = m (vf vi)
F t = mvf mvi
Impulse
l Fina m u ment Mo
Initial Momentum
t F m vi
Impulse & Momentum 2
F m vf
F t = mvf mvi
F
t
= mvf mvi
F
t = mv mv
F
t
=
1
ds d
Translational vs Rotational Motion
Translational speed v = ds/dt Rotational speed = d/dt For one complete rotation Rotational speed Translational speed = 2/T v = 2r/T v = r
Angular and Rotational are used interchangeably. Angular acceler
Albert Einstein (1879 1955)
E = mc2
Special Relativity
vr/T vT/E
vl/T
=c
vT/E
Simultaneity
t0 A c d
tB B 2d
tC C
Simultaneity (cont)
A Einstein's Train Paradox illustrating the relativity of simultaneity.
B C
A: Lightning strikes the front
Albert Einstein (1879 1955)
E = mc2
Albert Einstein (1879 1955)
1879 Born in Germany. Some considered him retarded as a child. 1894 At age 15 he dropped out of school as he was about to be expelled. He rebelled at the practice of education by r
Albert Einstein (1879 1955)
E = mc2
General Relativity Special Relativity deals with inertial frames of reference (constant velocity). General Relativity deals with accelerated frames of reference.
+
General Relativity 2
a
a
General Relativit
Albert Einstein (1879 1955)
E = mc2
Mass and Energy
E = mc2
Mass and Energy (cont)
The science of chemistry was initially developed with the assumption that in chemical reactions, energy and mass are conserved separately. In 1905, Einstein showe
Fission Model
Chain reaction 1
Chain Reaction 2
Critical Mass
The probability of a neutron colliding with a nucleus increases as the ratio between the surface area and the volume decreases. When the critical mass is reached the chain reaction occu
Problem 5-4
Three astronauts, propelled by jet backpacks, push and guide a 120 kg asteroid toward a processing dock, exerting the forces shown in Figure 5-31, with F1 = 32 N, F2 = 55 N, F3 = 41 N, 1 = 30, and 3 = 60. What is the asteroid's accelerati
The coefficient of static friction between Teflon and scrambled eggs is about 0.04. What is the smallest angle from the horizontal that will cause the eggs to slide across the bottom of a Teflon-coated skillet?
Problem 6-1
= 2.3o
Problem 6-7
A 3
Problem 7-13
Figure 7-29 shows three forces applied to a trunk that moves leftward by 3.00 m over a frictionless floor. The force magnitudes are F1 = 5.00 N, F2 = 9.00 N, and F3 = 3.00 N, and the indicated angle is q = 60.0. During the displacement,