Homework 14 Solution
Graded Problem
1. A pendulum of mass m is released from a height of h. It collides with another pendulum of
mass 3m. The two pendulums stick together. To what height h does the two pendulums rise?
h
h
m
3m
2. Beginning the same way as
Homework 13 Solution
Practice Problem Chapter 9
4, 5, 13, 14, 15, 16, 19, 20, 22, 25, 26, 30, 32, 33, 34, 35, 36, 37, 39, 42
Graded Problem
This is an exercise to compare the application of all of the concepts we have now
We have a system of a cart attach
Homework 10 (due Monday 7/27/15)
Practice Problem will be forthcoming
Graded Problem
A skateboarder goes down, from rest, the frictionless hill below that has two rough patches on it,
and the skateboarder is stopped at the end by a spring.
60 kg
10 m
k =
Homework 12 Solution
Graded Problem
I have the following machine.
50 g
1m
50 g
At the moment, the two masses are equal and no force is acting on them from outside the
machine
1. What is the total kinetic energy of the system of both masses?
2. What is the
Homework 8 Solution
Practice Problems Chapter 6
Circular Motion: 55, 56, 58, 59, 61, 76, 105, 107
Others: 71, 72, 75, 77, 81, 87, 93, 98
Graded Problem
A 100 g water bottle is resting on a 2 g piece of paper resting on a table. I pull on the paper with a
Homework 9 Solution
Graded Problem
A skateboarder rolls down a 20 ramp into a circular section with a radius of 4 meters. The
skateboarder can only stand up to 3 times his own weight in normal force before he crumbles.
What is the maximum height from whic
Homework 7 Solution
Practice Problems Chapter 6
3, 4, 5, 6, 9, 10, 12, 20, 21, 22, 23, 25, 27, 28, 31, 35, 37, 44, 45, 46, 47, 49
Graded Problem
We have the following setup. A rough ramp (with friction) has a mass on it whose mss is M and it
is pulled up
Homework 4 Solution
Practice Problems Chapter 4
4, 7, 10,12, 13, 15, 17, 25, 27, 28, 31, 33, 37, 39, 40, 43, 44, 48, 66, 72, 79
Graded Problem
A group of very smart barbarians are hiding in a forest with a catapult. Every time they launch a
rock from thei
Homework 5 Solution
Practice Problems Chapter 5
2, 3, 4, 5, 6, 11, 13, 18, 19, 20, 21, 25, 27, 28, 29, 30, 32, 33, 34, 36, 38, 41, 42, 43, 44, 46, 49, 50
Graded Problem
Two people are pulling on a 300 kg rock. Person A is pulling from the east with a forc
Homework 6 Solution
Graded Problem
A 10 kg block is on a 30 frictionless ramp. In the following situations, what are the net force and
the normal force on the block? Remember the direction.
a.
10 kg
30
b.
10 kg
40 N
30
c.
10 kg
40 N
30
d.
40 N
10 kg
30
e.
Homework 1 Soluiton
Practice Problems Chapter 3
6, 10, 11, 14, 20, 23, 24, 28, 29, 30, 31
38, 39, 40, 41, 42
49, 51, 52, 53, 57
79, 80, 81, 82
Graded Problem
We nd a treasure map in a hut. It tells you that to nd the treasure, you need to travel 3 km east
Homework 2 Solution
Graded Problem
a. For the following position vs time graph, sketch the corresponding velocity and acceleration
graphs. The graph here is parabolic.
x
t
v
a
t
t
b. For the following position vs time graph, sketch the corresponding veloc
Lab 10 Ballistic Pendulum
Introduction
We will use the ballistic pendulum to examine how a complex set of physical processes can be
broken down into simpler processes for analysis.
Description
The ballistic pendulum is a tool for measuring the launch spee
Lab 9 Collisions
Objective
The purpose of this lab is to examine the properties of momentum and the application of the
principle of momentum conservation to collisions.
Equipment
Two carts and two motion sensors, track.
Experiment 1: Sticky Collision Mome
Lab 7 Work and Energy II
Objective
The purpose of this experiment is to compare the method of the work-energy theorem to the
version of the work-energy theorem using potential energy.
Equipment
cart and track, motion and force sensors.
Experiment
Here is
Lab 2 Acceleration
Names
Objective
The purpose this lab is to observer the features of an accelerating object.
Equipment
Cart, track, motion sensor, table clamps and bars, rubber ball
Exercise 1: Simple Acceleration
Set up the track with a motion sensor a
Lab 7 Work and Energy
Objective
The purpose of this experiment is to compare the method of the work-energy theorem to the
method of Newtons second law.
Equipment
cart and track, motion and force sensors.
Experiment
We will do both experiments at the same
Lab 6 Rotational Motion
Objective
The purpose of this lab is to examine the properties of the force
that is required to make an object travel in a circle.
force
sensor
Equipment
Force sensor, motion sensor, table clamp and bars, centripetal
force balance.
Lab 3 Force and Motion
Objective
The purpose of this lab is to examine how force and motion are related.
Equipment
Cart, track, force sensor,
Force Sensor
We are going to use the force sensor. The force sensor needs to be zeroed or calibrated
depending on
Lab 4 Projectile Motion
Objective
The purpose of this lab is to examine various aspects of projectile motion and to use it to predict
ight characteristics.
Equipment
Ballistic launcher, table clamp
Experiment 1: Measuring the Launch Speed
We will measure
Lab 5 Friction and Spring
Objective
The purpose of this lab is to examine the properties of the frictional force and the spring force.
Equipment
Friction block and masses, spring, cart and track, force sensor and pulley
Experiment 1: The Two Frictions
Her
Lab 1 Introduction to Motion
Names
Objective
The purpose of this lab is to learn to use the motion detector and to learn about representing
position and velocity graphically.
Equipment
motion sensor, cart, track
Exercise 1: Stationary Object
Set up the mo
Note 35 Collisions
The cases in which we would want to remove the need to know about the interactions or forces
between objects via the impulse-momentum theorem for a system are collectively referred to as
collisions. In a collision, two objects approach
Note 37 Multiple Processes
Most of the processes that you observed in the real world require more than one step to analyze.
Now that you have the tools, ew will look at several examples of these processes.
Ballistic Pendulum
The ballistic pendulum is a ma
Note 36 Center of Mass
There is an application of the impulse-momentum theorem that is specically for the description of
a system of objects or masses.
!
!
Iext,system = psystem
Example
Two people are in space next to each other with no force acting on th
Note 28 Work and Springs
Position Dependent Forces
With energy, we can now deal with forces that change. Specically, we can deal with forces that
change with position. Lets say there is a force acting on an object that is described by the
following graph.
Note 31 Using Potential Energy
Example
A block of mass 1 kilogram is dropped from rest through 0.50 meter onto a resting spring of spring
constant 400 N/m. How far does the spring compress before the block stops?
1 kg
0.5 m
1 kg
x
400 N/m
I will approach
Note 34 Using Impulse and Momentum
Example
I drop a ball and it falls for 0.50 second, how fast is it traveling?
This is a straight-forward motion problem with time. Applying the impulse-momentum theorem to
the ball,
!
!
Iext = p
There is only one force o