EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
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Textbook Question
Chapter 3, Problem 3.6P
Let the polar coordinates of the point (x, y) be (r, θ). Determine the polar coordinates for the points (a) (−x, y), (b) (−2x, −2y), and (c) (3x, −3y).
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m
C
A block of mass m slides down a ramp of height hand
collides with an identical block that is initially at rest.
The two blocks stick together and travel around a loop of
radius R without losing contact with the track. Point A is
at the top of the loop, point B is at the end of a horizon-
tal diameter, and point C is at the bottom of the loop, as
shown in the figure above. Assume that friction between
the track and blocks is negligible.
(a) The dots below represent the two connected
blocks at points A, B, and C. Draw free-body dia-
grams showing and labeling the forces (not com
ponents) exerted on the blocks at each position.
Draw the relative lengths of all vectors to reflect
the relative magnitude of the forces.
Point A
Point B
Point C
(b) For each of the following, derive an expression in
terms of m, h, R, and fundamental constants.
i. The speed of moving block at the bottom of
the ramp, just before it contacts the stationary
block
ii. The speed of the two blocks immediately…
The velocity of an elevator is given by the graph shown.
Assume the positive direction is upward.
Velocity (m/s)
3.0
2.5
2.0
1.5
1.0
0.5
0
0
5.0
10
15
20
25
Time (s)
(a) Briefly describe the motion of the elevator.
Justify your description with reference to the
graph.
(b) Assume the elevator starts from an initial position
of y = 0 at t=0. Deriving any numerical values
you
need from the graph:
i. Write an equation for the position as a
function of time for the elevator from
t=0 to t = 3.0 seconds.
ii. Write an equation for the position as a
function of time for the elevator from t = 3.0
seconds to t = 19 seconds.
(c) A student of weight mg gets on the elevator
and rides the elevator during the time interval
shown in the graph. Consider the force of con-
tact, F, between the floor and the student. How
Justify your answer with reference to the graph
does F compare to mg at the following times?
and your equations above.
i. = 1.0 s
ii. = 10.0 s
Students are asked to use circular motion to measure the
coefficient of static friction between two materials. They
have a round turntable with a surface made from one of
the materials, for which they can vary the speed of rotation.
They also have a small block of mass m made from the sec-
ond material. A rough sketch of the apparatus is shown in
the figure below. Additionally they have equipment normally
found in a physics classroom.
Axis
m
(a) Briefly describe a procedure that would allow you
to use this apparatus to calculate the coefficient of
static friction, u.
(b) Based on your procedure, determine how to
analyze the data collected to calculate the
coefficient of friction.
(c) One group of students collects the following
data.
r (m)
fm (rev/s)
0.050
1.30
0.10
0.88
0.15
0.74
0.20
0.61
0.25
0.58
i. Use the empty spaces in the table as needed to
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Chapter 3 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 3 - Which of the following are vector quantities and...Ch. 3 - The magnitudes of two vectors A and B are A = 12...Ch. 3 - If vector B is added to vector A, which two of the...Ch. 3 - Choose the correct response to make the sentence...Ch. 3 - For which of the following vectors is the...Ch. 3 - What is the magnitude of the vector (10i 10k)...Ch. 3 - A vector lying in the xy plane has components of...Ch. 3 - Figure OQ3.3 shows two vectors D 1, and D2. Which...Ch. 3 - The culling tool on a lathe is given two...Ch. 3 - The magnitude of vector A is 8 km, and the...
Ch. 3 - Let vector point from the origin into the second...Ch. 3 - Yes or no: Is each of the following quantities a...Ch. 3 - What is the y component of the vector (3i 8k)...Ch. 3 - What is the x component of the vector shown in...Ch. 3 - What is the y component of the vector shown in...Ch. 3 - Vector lies in the xy plane. Both of its...Ch. 3 - A submarine dives from the water surface at an...Ch. 3 - A vector points from the origin into the second...Ch. 3 - Is it possible to add a vector quantity to a...Ch. 3 - Can the magnitude of a vector have a negative...Ch. 3 - Prob. 3.3CQCh. 3 - Prob. 3.4CQCh. 3 - Prob. 3.5CQCh. 3 - The polar coordinates of a point are r = 5.50 in...Ch. 3 - The rectangular coordinates of a point are given...Ch. 3 - Two points in the xy plane have Cartesian...Ch. 3 - Prob. 3.4PCh. 3 - The polar coordinates of a certain point are (r =...Ch. 3 - Let the polar coordinates of the point (x, y) be...Ch. 3 - A surveyor measures the distance across a straight...Ch. 3 - Vector A has a magnitude of 29 units and points in...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - A force F1 of magnitude 6.00 units acts on an...Ch. 3 - The displacement vectors A and B shown in Figure...Ch. 3 - Three displacements are A=200m due south, B=250m...Ch. 3 - A roller-coaster car moves 200 ft horizontally and...Ch. 3 - A plane flies from base camp to Lake A, 280 km...Ch. 3 - A vector has an x component of 25.0 units and a y...Ch. 3 - Vector has a magnitude of 35.0 units and points in...Ch. 3 - A minivan travels straight north in the right lane...Ch. 3 - A person walks 25.0 north of east for 3.10 km. How...Ch. 3 - Obtain expressions in component from for the...Ch. 3 - A girl delivering newspapers covers her route by...Ch. 3 - While exploring a cave, a spelunker starts at the...Ch. 3 - Use the component method to add the vectors A and...Ch. 3 - Prob. 3.23PCh. 3 - A map suggests that Atlanta is 730 miles in a...Ch. 3 - Your dog is running around the grass in your back...Ch. 3 - Given the vectors A=2.00i+6.00j and B=3.00i2.00j,...Ch. 3 - A novice golfer oil the green takes three strokes...Ch. 3 - A snow-covered ski slope makes an angle of 35.0...Ch. 3 - The helicopter view in Fig. P3.15 shows two people...Ch. 3 - In a game of American football. a quarterback...Ch. 3 - Consider the three displacement vectors m, m,...Ch. 3 - Vector A has x and y components of 8.70 cm and...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Vector A has a negative x component 3.00 units in...Ch. 3 - Given the displacement vectors A=(3i4j+4k)m and...Ch. 3 - Prob. 3.37PCh. 3 - Three displacement vectors of a croquet ball are...Ch. 3 - A man pushing a mop across a floor causes it to...Ch. 3 - Figure P3.28 illustrates typical proportions of...Ch. 3 - Express in unit-vector notation the following...Ch. 3 - A radar station locates a sinking ship at range...Ch. 3 - Review. As it passes over Grand Bahama Island, the...Ch. 3 - Why is the following situation impossible? A...Ch. 3 - Review. You are standing on the ground at the...Ch. 3 - In Figure P3.33, the line segment represents a...Ch. 3 - In an assembly operation illustrated in Figure...Ch. 3 - A fly lands on one wall of a room. The lower-left...Ch. 3 - As she picks up her riders, a bus driver traverses...Ch. 3 - A jet airliner, moving initially at 300 mi/h to...Ch. 3 - A person going for a walk follows the path shown...Ch. 3 - Find the horizontal and vertical components of the...Ch. 3 - Review. The biggest stuffed animal in the world is...Ch. 3 - An air-traffic controller observes two aircraft on...Ch. 3 - In Figure P3.55, a spider is resting after...Ch. 3 - The rectangle shown in Figure P3.56 has sides...Ch. 3 - A vector is given by R=2i+j+3k. Find (a) the...Ch. 3 - A ferry transports tourists between three islands....Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Two vectors A and B have precisely equal...Ch. 3 - Lei A = 60.0 cm at 270 measured from the...Ch. 3 - After a ball rolls off the edge of a horizontal...Ch. 3 - Review. The instantaneous position of an object is...Ch. 3 - Ecotourists use their global positioning system...Ch. 3 - A rectangular parallelepiped has dimensions a, b,...Ch. 3 - Vectors A and B have equal magnitudes of 5.00. The...Ch. 3 - A pirate has buried his treasure on an island with...
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