HW 15 Solutions
10.1. I DENTIFY : Use Eq. (10.2) to calculate the magnitude of the torque and use the right-hand
rule illustrated in Figure 10.4 in the textbook to calculate the torque direction.
(a) S ET U P : Consider Figure 10.1a.
E XECUTE :
= Fl
l =

Newtons Third Law Worksheet
PHYS 410
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Work out the answers on a separate sheet of paper and staple this sheet to the front before you turn in
your work. Dont forget to include the names of everyone in your group so you all get credit.
1.

Projectile Motion Worksheet 1
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get credit.

Newtons Second Law Worksheet
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get credit.
A

Projectile Motion 2 Worksheet
PHYS 410
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1. A quarterback and receiver are initially separated by 35.0 m. The quarterback then throws
the football with a speed of 20.0 m/s directed 50.00 above the horizontal. It leaves his hands
1.60 m abo

Uniform Circular Motion Worksheet
PHYS 410
B
The magnitudes of all velocity vectors are the same for uniform
circular motion. This is also true for all acceleration vectors.
Note that at A, B, and C, the velocity vector directions are tangent
to the circl

Vector Addition Worksheet
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get credit.
1. Y

Tension Forces
PHYS 410
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1. A woman pulls a strap fastened to a 5.00 kg suitcase. See figure below. When she pulls at an
angle of = 30.00, the suitcase starts from rest and moves 2.80 m in 2.00s. During this
motion, the friction force has

Uniform Circular Motion Worksheet
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get cred

Free Body Diagrams and N3L Worksheet
PHYS 410
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Look at the two forces you identified in 1a on the worksheet Free Body Diagrams and
N2L. One of these forces is the normal force by the table on the book, nby table/on book. The
second force

Analytical Solution to Pb 1
The equations derived in class were for a CCW motion. In this problem, the rotation is CW so we
must derive a different set of equations. Lets define as the angle
B
measured CW from the positive x-axis. This is so we match the

Inclined Planes
PHYS 410
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1. In the figure below, m1 accelerates down its incline and m2 accelerates up its incline. Find
all friction forces, all normal forces, the tension in the string, and the acceleration of each
block. a = 0.0765 m/

HW 3 Solutions
2.42. I DENTIFY : Apply constant acceleration equations to the vertical motion of the brick.
S ET U P : Let + y be downward. a y = 9.80 m/s 2
E XECUTE : (a) v0 y = 0, t = 2.50 s, a y = 9.80 m/s 2 . y y0 = v0 yt + 1 a yt 2 = 1 (9.80 m/s 2 )(

General Kinematics Worksheet
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get credit.
1

Motion Diagrams Worksheet
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get credit.
1. F

Freefall Worksheet
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get credit.
1. A ball i

Constant Acceleration 1 Worksheet
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get cred

Vector Components Worksheet
PHYS 410
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you turn in your work. Dont forget to include the names of everyone in your group so you
all get credit.
1.

HW 10 Solutions
6.3.
I DENTIFY : Each force can be used in the relation W = F| s = ( F cos ) s for parts (b) through
(d). For part (e), apply the net work relation as Wnet = Wworker + Wgrav + Wn + Wf .
S ET U P : In order to move the crate at constant vel

First /Last Names
1.
Application of Newtons Laws 1
PHYS 410
FBD and NL2
Example Problem
PHYS 350
1. A 4.00 kg block is pushed by a hand along the ceiling with a constant force of
A block has m = 4.00 kg and is pushed by a hand along the ceiling with a con

2D Kinematics Worksheet
PHYS 410
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W ork out the answers on a separate sheet of paper and staple this sheet to the front before
you turn in your work. Dont forget to include the names of everyone in your group so you
all get credit.
1. An

Friction Forces
PHYS 410
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1. Two boxes, connected by a rope, are pulled so that they both accelerate with a magnitude of
0.675 m/s2, directed to the left. See figure below. Find all normal forces, all friction forces,
the rope tension, an

Free Body Diagrams and N2L Worksheet
PHYS 410
First /Last Names
A free-body diagram is an important visualization tool for solving force problems. A
free-body diagram is a simplified line drawing of an object, with all of the

HW 2 Solutions
2.7.
(a) I DENTIFY :
Calculate the average velocity using Eq. (2.2).
x
S ET U P : vav-x =
so use x(t )
t
E XECUTE : t = 0 : x = 0
to find the displacement x for this time interval.
t = 10.0 s: x = (2.40 m/s 2 )(10.0 s) 2 (0.120 m/s3 )(10.0

Two-Dimensional Momentum Conservation Worksheet
PHYS 410
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1. A small car and an SUV have an inelastic collision where they stick together and move as
one unit after the collision. See figure below.
1200 kg
21.0 m/s
14.0 m/s
40.00
900 kg

Rotational Kinetic Energy Worksheet
PHYS 410
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1. Find the moment of inertia values, for the three rigid bodies shown below. Assume the mass
of the connecting rods is negligible. The lengths given are lengths of the connecting rods.
Assume

Static Equilibrium Worksheet
PHYS 410
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1. The 2.00 m long beam below has a cable attached at
its center of mass. The tension force in the cable is
1500 N. Find the mass of the beam and both hinge
forces. M = 209 kg, V = 750 N, H = 750 N
3

Work and Variable Forces Worksheet
PHYS 410
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1. One part of shock absorber in a car consists of a Hookes Law spring with k =
20.0 N/mm.
(a) How much work does the spring do on the car as it stretches from its relaxed
length to 3.00 cm? -9

Energy Equation Rotational Worksheet
PHYS 410
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1. A thin rod of unknown length, L, is pinned to the ground at one of its end. See figure below.
The rod starts horizontally with an initial angular velocity of 0. When the rod is vertical, i

Buoyancy Worksheet
PHYS 410
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1. A cube of wood 10.0 cm on a side is placed in water.
Then a cube of aluminum, with side of length L, is
placed on top of the wood so that the wood is completely
submerged but the aluminum is dry. See figure