Dynamics and Statics What is the resultant velocity
- Slides: 151
Dynamics and Statics {
What is the resultant velocity vector on a boat that is traveling at 10 m/s north and is being blow by the wind 0. 5 m/s east? Include the magnitude and angle. Bellringer
Learn more vocabulary that will help you solve dynamics and statics problems Practice identifying objects in a system Concurrent forces problems Objectives
Kinematics Test In order to get any points back you must complete the following by next Friday (10/17) 1. Add the correct equation and units when substituting where you forgot to on the Part Two to receive full points back. 2. Correct all problems you got wrong (Part One and Part Two) to receive half points back. 3. Hand them in to me in person during one of my free mods.
You get to pick the two other teams forces. Pick some numbers between 0. 1 N and 1. 962 N Also pick the angle between them. Pick some angle between 95 and 135 degrees The plastic hangers have a mass of 5 grams Lab #5
Bellringer – 2 mins to hand in Find the horizontal component of a 15 N vector that is 15 degrees above the horizon. DO STOP WORK
Learn more vocabulary that will help you solve dynamics and statics problems Practice identifying objects in a system Concurrent forces problems Objectives
Kinematics Test In order to get any points back you must complete the following by next Friday (10/17) 1. Add the correct equation and units when substituting where you forgot to on the Part Two to receive full points back. 2. Correct all problems you got wrong (Part One and Part Two) to receive half points back. 3. Hand them in to me in person during one of my free mods.
Robots?
Dynamics: The study of forces and motion Statics: The study of forces in static equilibrium Some words
Static: Not moving. Equilibrium: The condition of a system in which all competing influences are balanced (Net Force = 0) More words
System: A set of interacting or interdependent pieces forming one thing. Net Force: The overall force acting on a system (all the forces added together) Even more words
1. 2. 3. 4. If an object is moving at constant velocity is it in static equilibrium? What is the net force on an object that is moving at constant velocity? If an object is moving at constant velocity is it at equilibrium? If there is a non-zero net force on a system can it be moving at constant velocity? Checkpoint
Baseball in the catcher’s mitt. Your dinner on a table. Define all objects in each system.
Baseball in the catcher’s mitt. Your dinner on a table. Free-Body Diagrams
1. 2. 3. 4. For each of the following situations, specify the system and draw a free-body diagram. Label all forces, and indicate the direction of the acceleration and the net force. A skydiver falls downward through the air at constant velocity. (The air exerts an upward force on the person. ) You hold a softball in your hand move it up. Two people pushing equally on a table in opposite directions. Two equally strong huskies pulling a sled in the same direction. Practice
Demo Force and mass
Two identical huskies are pulling a sled through the snow. They are each pulling with a force of 40 N in the same direction. Neglecting friction (snow) what is the total net force on the sled? Happy Huskies
Two identical huskies are pulling a sled through the snow. They are each pulling with a force of 40 N in the opposite direction. Neglecting friction (snow) what is the total net force on the sled? Hateful Huskies
Two identical huskies are pulling a sled through the snow. They are each pulling with a force of 40 N at an angle of 90 degrees from one another. Neglecting friction (snow) what is the total net force on the sled? Hungry Huskies
What have our little husky buddies taught us? What is the maximum resultant of two forces and the angle between them? What is the minimum resultant of two forces and the angle between them? Humble Huskies
Concurrent Forces are the Regent’s exams fancy way of saying forces that act on a system at the same time. Concurrent Forces
Which pair of concurrent forces may have a resultant of 40 N? 1 N and 5 N 20 N and 10 N 20 N and 30 N 50 N and 5 N Which pair of concurrent forces may have a resultant of 20 N? 5 N and 10 N 20 N and 50 N 30 N and 5 N Concurrent Forces Examples
Two concurrent force of 50 N and X Newtons have a resultant of 100 N. Force X could be 10 N 40 N 90 N 160 N Two concurrent force of 40 N and X Newtons have a resultant of 100 N. Force X could be 20 N 40 N 80 N 150 N Concurrent Forces Examples
The resultant of two concurrent forces is minimum when the angle between them is 0 degrees 45 degrees 90 degrees 180 degrees As the angle between two concurrent forces is increased from 10 to 75 degrees, the magnitude of the resultant force decreases increases Remains the same Concurrent Forces Examples
Mary is holding a pillow with a mass of 0. 3 kg when Sarah decides that she wants it and tries to pull it away from Mary. If Sarah pulls horizontally on the pillow with a force of 10 N and Mary pulls with a horizontal force of 11 N, what is the horizontal acceleration of the pillow? Pillow Fight!
First identify the system and what is acting on it: Pillow Fight
Then draw a free body diagram: Pillow Fight
Then solve for the unknown: Pillow Fight
Finally; as always, evaluate the answer: Pillow Fight
Buddy is learning how to ice skate. He wants his momma to pull him along so that he has an acceleration of 0. 8 m/s^2. If Buddy’s mass is 27. 2 kg, with what force does his momma need to pull him? (Neglect any resistance between the ice and Buddy’s skates. ) Use the same steps as the pillow fight problem. Ice Skating
Bellringer – 2 mins to hand in What is the acceleration of a baseball (0. 145 kg) that is hit with a force of 150 N DO STOP WORK
Know the difference between weight and mass, and be able to solve problems. Objectives
Vector Quiz
Kinematics Test In order to get any points back you must complete the following by next Friday (10/17) 1. Add the correct equation and units when substituting where you forgot to on the Part Two to receive full points back. 2. Correct all problems you got wrong (Part One and Part Two) to receive half points back. 3. Hand them in to me in person during one of my free mods.
Use inertia and Newton’s first law of motion to explain this picture. (Write your response)
Car crash demo Newton’s First Law
An object’s weight is the gravitational force experienced by that object. Weight = Mass x Gravitational Field on Earth is 9. 81 m/s^2 So this is the same equation as F=ma What is weight?
How do scales find your weight? ? ? ? ? Scales are not accelerating so the net force on them must be zero. The scale pushes up with the same force that gravity pushes you down. This action reaction pair causes calibrated springs to stretch and turn a dial that displays your weight. Scales
Karan holds a golden puppy in each hand. Puppy A has a mass of 4 kg and puppy B has a mass of 12 kg. What upward forces do her two hands exert to keep the puppies at rest? If she then drops the two puppies, with what acceleration do they fall? (Ignoring air resistance. ) Comparing weights
Does an object’s mass change depending on what gravitational field it is in? Does an objects weight change depending on what gravitational field it is in? Changing mass
If you have a mass of 72 kg what is your weight, in Newtons, of Earth? What is the weight, in Newtons, on the moon? (The acceleration due to gravity there is 1. 62 m/s^2) So what’s the easiest way to lose some weight? ? What is the weight in Newtons on Jupiter? (The acceleration due to gravity there is 24. 79 m/s^s) Changing Weight Checkpoint
Gravity map of the Moon
What is the gravitational acceleration on a planet where a 4 kg mass has a weight of 16 N on the planet’s surface? What is the gravitational acceleration on a planet where a 2 kg mass has a weight of 8 N on the planet’s surface? Weight Training
If your weight on Earth is 500 N, what is your weight on a planet where the acceleration due to gravity is 6 m/s^2 Weight Training
It is impossible to be massless, but is it impossible to be weightless? ? No you always have a weight too. Sometimes it just doesn’t seem like you do. This is called apparent weightlessness. Weightlessness
Apparent Weightlessness means that there are no contact forces acting to support the object, and the object’s apparent weight is zero. What are contact forces? Any forces that need to be in contact with an object to exert a force on it. The feeling of weightlessness is most common when you or an object is in free-fall. Apparent Weightlessness
Big drops on rollercoasters Dips in airplanes Orbiting the Earth Going down a big hill Falling Examples
Review sheet Homework
Bellringer – 2 mins to hand in 1. 2. 3. What have you done to make sure your grade is what you want it to be? What will you do to improve your grade (or keep it at a 100)? What do you want your grade to be at the end of the quarter? (Can’t lower it) DO STOP WORK
Homework
Kinematics Test In order to get any points back you must complete the following by next Friday (10/17) 1. Add the correct equation and units when substituting where you forgot to on the Part Two to receive full points back. 2. Correct all problems you got wrong (Part One and Part Two) to receive half points back. 3. Hand them in to me in person during one of my free mods.
Like most Americans you weigh yourself on a bathroom scale in an elevator. If you have a mass of 75 kg, what will the scale read if the elevator is stationary? 735 N Elevator
What will the scale read if the elevator is moving at a constant velocity of 3 m/s? 735 N Elevator
If the elevator accelerates upward at 2 m/s^2 for 2 seconds what does the scale read during the 2 seconds of acceleration? 885 N Elevator
If the elevator accelerates downward at 2 m/s^2 for 2 seconds what does the scale read during the 2 seconds of acceleration? 585 N Elevator
Review sheet Homework
Bellringer – 2 mins to hand in What is the acceleration of a 75 kg person if the net force acting on them is -300 N? DO STOP WORK
Be able to solve stationary and moving elevator problems. Be able to calculate the force of air resistance. Know what tension is and use it to solve problems. Objectives
? ? ? Vector Quiz
If you failed the last test and did not complete corrections in order to raise your grade to a passing one you are one of the newest members of the science learning center! Can stay any day after school to catch up. Must stay Thursdays. You’re in the club until I think you’re good to go. Science Learning Center
Why do skydivers have a terminal velocity? Why do they need a parachute? Skydiving
What is a 80 kg skydiver’s drag force if his net acceleration is -2 m/s^2. Draw a free-body diagram of all the forces acting on the skydiver. Solve for the missing forces. Example
What is a 70 kg skydiver’s drag force if his net acceleration is -0. 5 m/s^2. Draw a free-body diagram of all the forces acting on the skydiver. Solve for the missing forces. You Try
What is the minimum acceleration a skydiver could have? What is the strongest drag force a 65 kg person could have? How does your velocity change the drag force? How does air density change the drag force? Maximum Drag Force
1. 2. What is the drag force on a 76 kg individual that is free-falling and has no acceleration? What is the drag force of a 100 kg food supply crate that is falling with zero net force? Checkpoint
http: //www. youtube. com/watch? v=rai. Frxb. Hx. V 0 Red Bull gives you wings
Lab Time
Parachute Lab
What is tension? ? Tension is simply a specific name for the force that a string or a rope exerts!! How many tensions can one rope have? Tension Force
Do tension forces push or pull? How do you know? Tension
Demos Nails and scales demo Tension and pulleys
You have a heavy crate of standard sized envelopes that has a mass of 50 kg. You decide the easiest way to move it is to pull it with a rope. If you put an acceleration on the box of 2. 5 m/s^2 what is the tension in the rope. (ignore friction) Two people are playing tug of war. If they each pull the rope with 50 N force in opposite directions what is the tension in the rope? Tension Examples
If two 5 kg masses hang from opposite sides of a rope around a pulley. What is the tension force in the rope? Tension examples
Find the tension force between two 1 kg boxes. The box on the left is being pulled with a force of 50 N and the box on the right is being pulled with a force of 80 N. Draw a free body diagram. Define the system you want to study. Solve for the missing forces. Back To Tension
When solving tension problems always start by looking at a system with the most known variables. Remember if objects or different parts of the system are physically connected they must have the same acceleration. Tension Problems
Find the tension force between two blocks that are hanging around a single fixed pulley. One block has a mass of 50 kg, the other has a mass of 80 kg. Draw a free body diagram. Define the system you want to study. Solve for the missing forces. Tension practice
Bellringer – 2 mins to hand in A 3, 000 kg Chevy is having a tug of war with a 2, 800 kg Ford. The Ford pulls with a force of 8, 000 N and the Chevy pulls with a force of 7, 500 N. What is the net force and the acceleration of the cars? DO STOP WORK
Be able to calculate the acceleration of a two mass system that is rotating around a pulley. Finish Lab Objectives
Today after school in room 122. Science Learning Center
The Atwood’s Machine: Invented by George Atwood in 1784 as a way to verify Newton’s Second Law of Motion F=ma Lab #7
Three blocks are each connected by separate strings, and are pulled along a frictionless surface. Box A is 4 kg, box B is 2 kg, and box c is 6 kg. If F is 36 N what is the acceleration of each box? What are the tension forces in each of the strings? Tension Example
Vector Quiz
Bellringer – 2 mins to hand in In your lab which mass rotates the pulley in the positive direction? DO STOP WORK
Be able to correctly label and calculate the normal force Figure out what variables effect the force of friction. Collect lab data Objectives
The Atwood’s Machine: Invented by George Atwood in 1784 as a way to verify Newton’s Second Law of Motion F=ma Lab #7
Vector Quiz
How would you label the force of: A table The floor The ground A chair The road The rug Labeling forces
The normal force is the perpendicular contact force that a surface exerts on another surface. Use free body diagrams to figure out what is going on. The Normal Force
The magnitude of the normal force is enough force to keep a system in equilibrium. Adding weights example The Normal Force
Examples
More Examples
Friction can come from a number of sources Heat Sound Air resistance Any kind of resistance Any unwanted loss of energy Friction Force
Though friction can come from a variety of sources there are only two types of friction that we are going to work with. Kinetic Friction Static Friction Types of Friction
Kinetic Friction Is exerted on one surface by another when the two surfaces rub against each other because one or both surfaces are moving against each other. Rubbing Friction Kinetic Friction
Static Friction Is the frictional force exerted on one surface by another when there is no motion between the two surfaces. Stationary Friction Increases to a point then becomes kinetic friction Static Friction
What factors do you think will change the friction force between two objects? Demo Would this be important to an athletic footwear manufacturer? BOOM! The labs never end! Friction Factors
http: //www. youtube. com/watch? v=c. Pp. Ox. Pl. CT Es https: //www. youtube. com/watch? v=Ek 5 Zyzn 3 Avw http: //www. youtube. com/watch? v=ibxtm. AVLa ag Foot Friction
Bellringer – 2 mins to hand in What is the normal force that a table exerts on a 5 kg textbook? DO STOP WORK
Figure out what variables control how much friction there is between two objects Finish Foot Friction Lab Objectives
The Atwood’s Machine: Staple it and hand it in Lab #7
What factors have you identified in your lab work that effect the magnitude of the friction force? Normal Force Type of surfaces that are rubbing Friction Factors
Kinetic Friction
What is the coefficient of kinetic friction between a 5 kg laptop and a table if the force of friction is 10 N? What is the kinetic friction force between waxed skis and snow if a 75 kg lady is skiing on level snow at constant velocity? Kinetic Friction example
Static Friction
What is the maximum static friction force between a 500 kg go kart with rubber tires and dry asphalt? What force is the minimum force required to push a 75 kg skier into motion on snow with freshly waxed skies? Static Friction example
Dynamics and Statics Review problems 1 -15 Homework
Label which part of the graph is static friction, kinetic friction, and at which point it starts to move. Bellringer
Be able to solve all kinds of friction problems Be able to solve force problems at an angle Objectives
Foot Friction Lab
Atwood’s Machine: Friction and Air Resistance Missing Labs…
Homework
Test next Monday and Tuesday Science Club on Thursday to catch-up/review for the test Is anyone interested in sending something into space? http: //space. 1337 arts. com/wpcontent/uploads/2009/09/1337 arts. Guide. pdf Updates
You push a 25 kg wooden box across a wooden floor at a constant speed of 1 m/s. The coefficient of kinetic friction is 0. 2. How large is the force that you exert on the box? Analyze and sketch Solve Evaluate Friction Practice
Gwen exerts a 36 N horizontal force as she pulls a 52 N sled across a cement sidewalk at constant speed. What is the coefficient of kinetic friction between the sidewalk and the metal sled runners? Ignore air resistance. More Practice
Mr. Ames is dragging a box full of books from his office to his car. The box and books together have a combined weight of 134 N. If the coefficient of static friction between the pavement and the box is 0. 55, how hard must Mr. Ames push horizontally on the box in order to start it moving? More Practice
Ricky Bobby is driving in his old Pontiac with rubber tires on dry concrete road. If he and his car have a combined weight of 10, 500 N what is his maximum static friction force before he starts to skid out and lose control of his vehicle? 9, 450 N What is the new force of friction if Ricky starts to skid? 7, 140 N Why is it so hard to regain control of your car once you lose it? Car Crash!!!
Why don’t magnets fall down? Magnets
Forces at an angle
Normal If Gary pushes the lawn mower at constant velocity with a force of 50 N down the handle. What is the magnitude of the force moving the mower forward? The handle is 50 degrees above the level ground. Fric. 32. 1 N N The Lawn Mower mg 38. 3 N 50
What angle is the most efficient to pull something? As the angle of the applied force on an object decreases from 90 degrees to 0 degrees what happens to the X component of the force vector? Angle Concepts
Tony is pulling a wagon at constant velocity. The wagon handle is 35 degrees above the level ground. If Tony pulls the handle with his 100 N force directed 35 degrees above the horizon what is the magnitude of the force in the direction of the motion? If the wagon weighs 150 N what is the normal force from the ground on the wagon? Angle Practice
If a 40 kg block is pulled across a frictionless floor at 30 degrees above the horizontal with a 75 N force what is the acceleration of the block in the horizontal direction? What is the original pull force if the Xcomponent is 25 N and the angle is 60 degrees? Checkpoint
1. 2. 3. What have you been doing since the last check to improve your grade? What will you do to improve you grade? What do you want your grade to be at the end of the quarter? Grades
Bellringer – 2 mins to hand in What is the force of kinetic friction between a 100 N steel plate sliding on copper surface at constant velocity? DO STOP WORK
Be able to solve dynamic problems at an angle. Objective
Test next week https: //twitter. com/Windsor_Physics Updates
Demo Video: http: //www. youtube. com/watch? v=k. Pf 8 FMJ 5 i. Js Inclined Plane
Inclined Plane
As the angle of an incline increases The normal force decreases The force from gravity down the incline increases The force from gravity into the incline decreases The frictional force decreases Inclined Plane
A 30 kg kid slides down a frictionless slide that is 30 degrees above the horizon. What is his force down the slide? 147. 15 N What is normal force from the slide? 254. 9 N Inclined Plane
A 2 kg rubber stopper is sliding down a 35 degree ice slide. What is the normal force acting on the stopper? 16. 1 N What is the friction force acting on the stopper? 2. 4 N What is the force of the stopper down the slope? 11. 3 N What is the net force on the stopper parallel to the slide? 8. 9 N What is the acceleration of the stopper down the slide? 4. 5 m/s^2 Inclined Plane
If a 1, 500 kg car is put in neutral on a 25 degree hill, how much force will it have as it rolls down? Ignore friction 6, 218. 8 N What is the normal force of a 50 kg boy that slides down a 15 degree frictionless snow slope? 473. 8 N What is that same boy’s force down the slope? 127. 0 N Checkpoint
Finish the rest of your Dynamics and Statics Packet Homework
Online demo https: //phet. colorado. edu/en/simulatio n/forces-1 d Force Demo
If the ramp is frictionless and m 1 is 35 kg and m 2 is 15 kg which way will the system move? Down the slope or up the slope? Incline plane
Make sure you review this homework assignment! Newton’s Laws HW
This is an outline of the concepts that you will be tested on. Make sure you understand every concept on here. You should also know what problems I might ask about each concept. How do these concepts relate to the labs and demonstrations we have done the past few weeks? Dynamics and Statics “Study Guide”
Bellringer – 2 mins to hand in DO STOP WORK
Be able to solve and statics or dynamics problem I throw at you! Objective
If you were there last week, I expect you there again today. Science Club
Begins Tuesday (11/4): 2: 35 to 3: 15 Physics Club: Our Journey to Space
Partner Up Gang!!! Station Activity
Bellringer – 2 mins to hand in DO STOP WORK
Bellringer – 2 mins to hand in What is the acceleration of a 10 kg block that is sliding down a frictionless slope of 30 degrees? DO STOP WORK
Be a dynamics and statics master. Objective
Begins Wednesday (11/5): 2: 35 to 3: 15 Physics Club: Our Journey to Space
Part 1: 25 multiple choice questions Part 2: 5 long answer questions Statics and Dynamics Test
Homework
Stations – Answers on website Sample Part Two Questions Study Guide Newton's HW Dynamics and Statics Review HW Chapters 4 and 5 Review
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