PHY1105_LG3_MomentumRotation_JElyWasinger
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Chapter 6 and 8- Momentum and Rotational Motion Jay Ely-Wasinger
Learning Guide
I. Vocabulary & Terminology:
Explain each of the following vocabulary terms in 1-2 full, coherent sentences
. Include pictures or diagrams to increase the clarity of your explanation. -Momentum- Momentum is the measurement of the motion of an object calculated by the product of the mass and velocity of the object. -Inelastic Collisions are collisions in which there is a loss in kinetic energy.
-Torque is the measurement of the force required to move an object about its axis
of rotation.
-Impulse describes or quantifies the effect of a force acting over time to change an
object's momentum.
-Radian is a unit of measurement used for angles of circles, where one radian is the arc length of the circle that is equal to the radius.
-Moment of Inertia is the measurement of how an object resists angular acceleration.
-Elastic Collisions are collisions where there is no loss in kinetic energy.
-Angular Velocity is the rate at which an object revolves around its axis.
-Angular Momentum the measurement of the rotation of an object, which is the product of its moment of inertial and its angular velocity.
Make sure the 1-d box is checked. Use the PhET collision simulation at: https://phet.colorado.edu/sims/html/collision-
lab/latest/collision-lab_all.html
to work out the answers to the following questions.
Before you start:
●
Turn elasticity down to zero
●
Click “more data” to allow you to enter in values for the mass and velocity.
●
For each question, fill out the table with values extracted from the question.
Use these to fill in the data on the app.
1)
A ball travelling at 2m/s with a mass of 0.5kg collides with a stationary ball of 1kg, and they stick together. What is the momentum before and after the collision?
Mass (
.....
)
Velocity before collision (
......
)
Velocity after collision (
.......
)
Momentum
before (
..........
)
Momentum
after(
........
)
Ball 1
0.5 kg
2 m/s
0.67 m/s
1.0 kg m/s
0.33 kg m/s
Ball 2
1.0 kg
0 m/s
0.67 m/s
0 kg m/s
0.67 kg m/s
Both balls
1.5 kg
1.34 m/s
1.0 kg m/s
1.0 kg m/s
2)
What do you notice? What do we call this concept?
The momentum before and after the collision were the same, due to the law of conservation of momentum. 3)
What is the unit of momentum? The unit of momentum is kg m/s, or a Newton Second.
4)
How fast must a 0.3kg ball be moving to have a momentum of 2.1kg.m/s?
Mass
Velocity
Momentum
Ball 1
0.3 kg
7.0 m/s
2.1 kg m/s
5)
A 0.66kg ball travelling at 0.4 m/s collides with a ball of 0.33kg, and they stick together...
a)
What is the total momentum after the collision?
b)
How fast will the two balls (which are now stuck together) be moving after the
collision?
Mass (kg)
Velocity before collision (m/s)
Velocity after collision (m/s)
Momentum
before (kg.m/s)
Momentum after (kg.m/s)
Ball 1
0.66 kg
0.4 m/s
0.27 m/s
0.26 kg m/s
0.18 kg m/s
Ball 2
0.33 kg
0.0 m/s
0.27 m/s
0.0 kg m/s
0.09 kg m/s
Both balls
0.99 kg
0.27 m/s
0.26 kg m/s
0.26 kg m/s
6)
What happens to the momentum of a 1kg ball if it collides head on with a 2kg ball coming the other way with an equal and opposite velocity?
Mass (kg)
Velocity before collision (m/s)
Velocity after collision (m/s)
Momentum
before (kg.m/s)
Momentum after (kg.m/s)
Ball 1
1 kg
0.5 m/s
-0.17 m/s
0.5 kg m/s
-0.17 kg m/s
Ball 2
2 kg
-0.5 m/s
-0.17 m/s
-1.0 kg m/s
-0.33 kg m/s
Both balls
3 kg
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Related Questions
Choose the correct letter
We can apply the laws of conservation of linear momentum and angular momentum to the description of the motion of rigid bodies because
A. Forces that maintain constant distances between different pairs of point masses are internal forces (i.e. forces of constraint)
B. Forces of constraint come in pairs and obey Newton’s third law (i.e. they are equal and act along the same line of action)
C. In any displacement the relative distances and the orientations of different particles remain the same with respect to each other
D. No network is done by the internal forces or the forces of constraint
E. All of the above are correct
F. None of the above is correct
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Needs Complete typed solution with 100 % accuracy.
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Two particles are moving uniformly in opposite directions along parallel
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a. The total linear momentum of the particles.
b. The angular momentum of the particles with respect to point O.
c. Repeat part b. for points O, and O2.
d. Answer the questions a through c if p, = p.
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Statics of rigid bodies
I. Solve the following problems completely: Show your complete solution:
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I need help with this problem and an explanation of the solutions described below:
- A torque meter stick experiment
For experiment 2 (The image of the data below), suppose we remove M3 but keep everything else the same. The system will be unbalanced and will begin to rotate. For this problem, treat the meter stick as being rotated about its ideal center of mass of XCM = 50 cm.
a) Calculate the moment of inertia of the system (meter stick and hanging masses).
b) Calculate the angular acceleration of the system.
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Suppose the disk in Figure 1 below has a mass of 50.0 g and an initial velocity of 30.0 m/s when it strikes the stick that is 1.20 m long and 2.00 kg sticking at a distance 0.100 m from the pivot (where the board is nailed to the table). a. What is the angular velocity of the two after the collision? b. What is the kinetic energy before and after the collision? c. What is the total linear momentum before and after the collision?
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please submit the linear graph and the associated
data table and the answer to question for
particular grapgh.
Some of your variables are: F-applied force, f-frictional force, 40-displacement, a linear
acceleration, r time, v velocity, ve initial velocity, o3final angular velocity, g initial angular
velocity, a angular acceleration, r radius, 2-wavelength, f-frequency, and U-potential energy.
6.
0+2as6
Final Angular Velocity (rad/s)
3.98
5.30
7.51
8.86
10.89
12.96
Angular Displacement (rad)
0.35
0.91
1.48
2.10
2.78
4.93
Plot a graph for this data and find the acceleration and initial velocity.
let y
let x
Eq'n in y mxr+b form:
Slope from equation
Slope from graph=
Intercept from equation-
Intercept from graph
Coefficient of determination-
Ang. Acceleration-
Initial Ang. velocity-
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help please i need complete solutions asap. thanks!!
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A:17
"I| L3%
Q 2Med Physics.pdf >
E. z component of angular momentum
6
26-The amount of work required to stop a moving object is equal to:
A. the velocity of the object
B. the kinetic energy of the object
C. the mass of the object times its acceleration
D. the mass of the object times its velocity
E. the square of the velocity of the object
27- The mass of a hydrogen atom, in kilograms, is approximately:
А. 10-27
В. 10-31
C. 10-24
D. 10-13
E. 10-8
28- The isotopes of an element:
A. cannot be separated at all
B. occur well separated in nature
C. have similar chemical behavior
D. cannot be separated by physical methods
E. have equal masses
29-Which of the following groups does NOT contain a scalar quantity?
A. velocity, force, power
B. displacement, acceleration, force
C. acceleration, speed, work
D. energy, work, distance
E. pressure, weight, time
30- According to the theory of relativity:
A. moving clocks run fast
B. energy is not conserved in high speed collisions
C. the speed of…
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Problem Solving, write all your computations and always encircle your final answer. This is all about General Physics 1: Impulse and Momentum.
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I need help with this problem and an explanation of the solutions described below:
- A torque meter stick experiment
For each 3 experiments (Image of the data is below), calculate the net clockwise and counterclockwise torques acting on the meterstick. Show the full calculation being done with all numbers identified.
Experiment 1 Experiment 2 Experiment 3
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SPO15: TUTORIAL CHAPTER 6
Subjective Questions
1. A 200g of mass is moving with uniform angular velocity in a circle of radius 80 cm on a
smooth horizontal surface. If the mass completes 10 revolutions in one second, calculate:
a) Angular specd in rad s. JAnswer : 62.83 radsI
b) Lincar speed around the circular path. JAnswer : 50.26 ms')
2. A particle is moving on a circular path of a diameter 1.0 m at a constant speed of 10 ms.
Find the time taken to complete 20 revolutions. [Answer : 6.28 s]
3. What is the centripetal acceleration of a particle at a constant speed of 2.5 ms' which rotates
at 3 000 revolutions per minute? [Answer: 785.4 ms
4. The astronaut orbiting the Earth is preparing to dock with Westar VI satellite. The satellite
is in a circular orbit 600 km above the Earth's surface, where the free fall acceleration
(centripetal acceleration) is 8.21 m s2. Take the radius of the Earth as 6400 km. Determine
a) The speed of the satellite. [Answer : 7580.9 ms
b) The time interval…
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Activity 3 - Practice Problems
Solve the following problems with complete solutions.
1. The giant sequoia General Sherman in California has a mass of about 2.00
6
10° kg, making it the most massive tree in the world. Its height of 83.0 m is
also impressive. Imagine a uniform bar with the same mass and length as
the tree. If this bar is rotated about an axis that is perpendicular to and
passes through the bar's midpoint, how large an angular acceleration would
result from a torque of 4.60 10' N•m? (Note: Assume the bar is thin.)
2. A 43.0 kg wheel, essentially a thin hoop of radius 1.50 m, is rotating at 380
revs/min. It must be brought smoothly to a stop in 20.0 s. Calculate the
constant torque on the wheel.
OF PAS
LUNGS
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8
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1.See the picture at the left. Is the centroid and the
center of mass (COM) of the bird at the same point?
Why do you think so. Explain your answer.
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Multiple choice: choose the best answer
and explain or solve why
will rate if correct
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Which of the ff. best describes a scientific law?a.It implies something accurate b. It implies experimentation results c. It summarizes observed facts d.It describes and observes physical results
The rate of rotary motion is called a. Angular velocity b. Angular motion c. Angular displacement d. Angular acceleration
What average force is necessary to stop a .45 caliber bullet of mass 15 grams and speed of 300 m/s as it penetrates a block to a distance of 5 cm?a.12.6 kN b.13.5 kN c.13.0 kN d. 12.0 kN
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a) a force acts on an A-truss (as shown on the diagram attached). Determine the value of the individual torques and the total torque about point A.
our formula in solving Torque is (t = F x l ; where F is the torsional force applied, l is the level arm or the distance between the fulcrum)
pls help me understand this. thank you
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1. What are the equations for linear momentump and kinetic energy K? Please define the variables.
2. Please define concisely and in your own words the concept of conservation. Describe conservation of momentum and kinetic energy.
3. Briefly describe the difference between elastic and inelastic collisions and give an example of each. Describe these collisions in terms of the kinetic energy and
momentum.
4. A moving object collides with and sticks to a stationary object. Do the combined objects move slower, faster or at the same speed as the original moving object?
5. What is the expected value of the ratio of the final and initial momenta, pf/p; ?
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The class I'm taking is physics for scientists and engineers!
**I just need help with part G**
I have attached the problem below! Please view both attachments before answering. If you can please explain your answer so I can fully understand. Thank you so so much!
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Angular Collisions
How much thermal energy is created in the process of disk 1 falling on disk 2 such that they reach a common final angular velocity? You do not need to worry about the gravitational potential energy because the initial separation of the disks is small.
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Q3: In the adjacent figure, if you know that the mass
of the cylinder is (6 Kg) and the mass of the cubic is
(10 Kg), calculate:
1- Group acceleration.
2-Tension in the rope.
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Please answer the questions which match to specific points in the derivation.
Assume an object of mass ‘m’ is orbiting an object of mass ‘M’
Assume no friction, air resistance, or space debris.
Fnet is substituted for FG. What does this mean about how many forces are acting on the mass ‘m’?
‘a’ is substituted out for ac. What does variable ac represent? What does this mean about the motion of the mass ‘m’?
‘m’ is cancelled out in this step. What does this mean “in real life” for this quantity?
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What is called Simple Harmonic Motion?
What causes periodic motion?
Define Angular Momentum
What is called Conservation of Angular Momentum?
Define Angular Velocity
Define Angular Acceleration
Define Parallel axis theorem.
How can we determine the direction of Angular velocity?
What is called positive, zero and negative work?
Define Kinematic
Note
Please no plagiarism and simple and clear information
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This is 3rd tym I post it . all the given answers was chat gpt and was wrong. Needs Complete solution with 100 % accuracy don't use chat gpt or ai plz plz i definitely upvote you.
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i. The body of arbitrary shape has a mass m, mass center at G, and a radius of
gyration about G of kg. If it is displaced a slight amount from its equilibrium
position and released, Derived the Equation of Motion for the system using
Newton 2nd law and Energy Method.
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