Content Outcomes CO18. Free -Body Diagrams CO19. Applications of Newton’s Laws to single-body and multibody dynamics CO20. Problem solving using Newton’s Laws MOST ESSENTIAL LEARNING OUTCOMES LO23. Draw free-body diagrams LO24. Apply Newton’s 2nd law and kinematics to obtain quantitative and qualitative conclusions about the velocity and acceleration of one or more bodies, and the contact and noncontact forces acting on one or more bodies LO25. Solve problems using Newton’s Laws of motion in contexts such as, but not limited to, ropes and pulleys, the design of mobile sculptures, transport of loads on conveyor belts, force needed to move stalled vehicles, determination of safe driving speeds on banked curved roads
Table of contents 02 EXTERNAL FORCES ACTING ON THE OBJECT FORCES 01 FREE BODY DIAGRAM FBD 04 ACTIVITES OF ENRICHMENT PROBLEM SOLVING 03 APPLICATION OF FBD NEWTON’S LAW
“Stop acting so small. You are the universe in ecstatic motion.” –philosophical interpretation inspired by Newton’s perspective of forces and motion. — Eliezer Yudkowsky
FBD AN ILLUSTRATION OF ALL FORCES ACTING ON AN OBJECT.
WEIGHT NORMAL FORCE APPLIED FORCE FRICTION TENSION SPRING TRUST F orces in FBD
WEIGHT FORCE A downward force by the pull of gravity on an object. A gravitational force acting on an object. Surface Surface 1
NORMAL FORCE A contact force exerted by a surface on an object. A force perpendicular to a plane or surface Surface Surface Surface 2
A 10 kg box is resting on a flat horizontal surface. A. What is the normal force acting on the box? B. What is the normal force if a 2N force is pressed on the box? C. What is the normal force if 2N tension force is applied on the box? = mg = 10 kg (9.8 m/s 2 ) = 98 N = mg + = 10 kg (9.8 m/s 2 ) + 2N = 100 N = mg - = 10 kg (9.8 m/s 2 ) - 2N = 96 N
APPLIED FORCE A mechanical force exerted by a body on an object. A force applied causes the object to accelerate in the same direction. 3 a a Surface a = ma = mg = m( g+a ) if additional acceleration is applied = mg sin
A 5 kg crate is placed on a smooth, horizontal surface. A constant horizontal force of 25 N is applied to the crate. What is the acceleration of the crate? = ma a = a = a = 5 m/s 2
A weightlifter carrying a 2 kg box and lift it up with an upward acceleration of 0.25 m/s 2 . What is the force applied before lifting it up? What is the force after lifting it up? = m( g+a ) = 2 kg (9.8 m/s 2 + 0.25 m/s 2 ) = 2 kg (10.05 m/s 2 ) = 20.1 N a = mg = 2 kg (9.8 m/s 2 ) = 19.6 N
A baseball player hits a 0.145 kg baseball with a bat, accelerating it from rest to a speed of 40 m/s in just 0.005 seconds. What is the average force exerted by the bat on the ball? = ma ) = 1160N = a = a = 8000 m/s 2
FRICTION FORCE A force that acts opposite the motion of an object. A force parallel to the surface of contact 4 f Surface f a a
FRICTION FORCE A force that acts opposite the motion of an object. A force parallel to the surface of contact 4 f Surface f a a 5N 5 10N 10 13.32N 13.72 15.9N 9.9 6N 25N 15 10N 5N 5 10N 10 13.32N 13.72 15.9N 9.9 6N 25N 15 10N = 0.7 = 0.5 = = 0.7(19.6N)=13.72 = = 0.5(19.8N)=9.9 2kg
A force of 65N is needed to start an 8kg box moving across a horizontal surface. A. Calculate the coefficient of static friction. B. Calculate the coefficient of kinetic friction if the box move with 1.4 m/s 2 acceleration.. = F - mg = - ma = - mg 8(1.4) = 65 - (8)(9.8) 11.2 = 65 - 78.4 11.2 - 65= - 78.4 = = 0.69N F = F = F = mg 65N = (8kg)(9.8) 65N = (78.4N) = = 0.83N f a
Activity Time Answer Exercise on page 130 on your General Physics 1 e-Book. Write answers in your notebook.
TENSION FORCE A pulling force by the string, cable, wire, rope or cord on an object. A force parallel with the string and away from the object Surface 5 Surface Cable Rope
TENSION FORCE Formula for different scenarios: 5 Surface Cable Surface Cable Surface Cable
A 10 kg box is hanging from the ceiling by a single rope. The box is at rest. (a) What is the tension in the rope? (b) If a person pulls the box upward with an acceleration of 2 m/s², what is the new tension in the rope? Surface Cable = = 10 (9.8 ) = 98N = = 10 (9.8 ) = 118N
Imagine an elevator of mass 𝑚=1000 kg suspended by a cable. We’ll analyze three cases: Case 1: Elevator at Rest or Moving at Constant Speed Case 2: Elevator Accelerating Upward Case 3: Elevator Accelerating Downward
A horizontal cord is attached to a 6.0 kg body on a smooth tabletop. The cord passes a pulley attached at the edge with a body of mass 8.0 kg hanging at the edge. Calculate the tension force at both ends. Surface Cable = = ( ) = ( ) = ( ) = = = = 6.0 ( ) = = = = 58.8N 6.0kg 8.0kg = = 6.0 ( ) = 33.6N = = 8.0 ( ) = 33.6N = =
SPRING FORCE A force exerted by a compressed or stretched spring upon any object attached to it. The direction of force is opposite the displacement of the object at the end of the spring 6
THRUST FORCE A mechanical force exerted by an engine to move object such as rockets, airplanes, or any aircrafts through the air. The direction of force is the same as the acceleration of the object barring any resistive forces. 6
Features of this topic Mercury is the closest planet to the Sun Mercury Venus is the second planet from the Sun Venus Despite being red, Mars is actually cold Mars
Key numbers Venus is the second planet from the Sun Venus Mercury is the closest planet to the Sun Mercury 40,000 150,000
An image is worth a thousand words
Practical uses of this subject Neptune is very far away from Earth Neptune Despite being red, Mars is actually cold Mars Mercury is the closest planet to the Sun Mercury Venus is the second planet from the Sun Venus
Demo for the lesson You can replace the image on the screen with your own work. Just right-click on it and select “Replace image”
Did you know this? Jupiter is the biggest planet of them all Neptune is very far away from Earth Neptune Jupiter Earth is the beautiful planet we all live on Earth Mercury is the closest planet to the Sun Mercury Venus is the second planet from the Sun Venus Despite being red, Mars is actually cold Mars
Problem vs. solution Mercury is the closest planet to the Sun and the smallest one Problem Venus has a beautiful name and is the second planet from the Sun Solution
The process Mercury is the smallest planet Step 01 Venus has a beautiful name Step 02 Mars is actually a cold planet Step 03 Neptune is the farthest planet Step 04
Awesome words
This is a map Venus has a beautiful name Venus Mars is actually a cold planet Mars Neptune is the farthest planet Neptune
This is a graph Venus has a beautiful name Venus Mars is actually a cold planet Mars Neptune is the farthest planet Neptune Mercury is the smallest planet Mercury 20% 10% 40% 30% Follow the link in the graph to modify its data and then paste the new one here. For more info, click here
150,000 Big numbers may help you catch your audience’s attention
Overview diagram Mercury is the smallest planet Mercury Jupiter Venus has a beautiful name Venus Neptune is the farthest planet Neptune Mercury Neptune Mars Jupiter Saturn Mercury Earth Venus Mercury
The exercise Exercise A Exercise B Exercise C Part 01 Mercury is the smallest planet Jupiter is the biggest planet Neptune is the farthest planet Time: 5 min 7 min 9 min Part 02 Despite being red, Mars is cold Saturn is a gas giant and has rings Earth is our beautiful planet Time: 7 min 9 min 10 min Part 03 Venus has a beautiful name Pluto is considered a dwarf planet The Moon orbits around the Earth Time: 5 min 7 min 9 min
The assignment 1 Mercury is the smallest planet Mercury Venus has a beautiful name Venus Neptune is the farthest planet Neptune 2 3
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