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# 1.3 scalar & vector quantities

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### 1.3 scalar & vector quantities

1. 1. 1.3Understanding Scalar & Vector Quantities www.myfunphysicsworld.blogspot.com
2. 2. Chapter 1 Introduction To Physics 1.3Understanding Scalar & Vector Quantities www.myfunphysicsworld.blogspot.com
3. 3. Learning OutcomesDefine scalar and vectorquantitiesGive examples of scalar andvector quantities www.myfunphysicsworld.blogspot.com
4. 4. Physical Quantities Scalar vector Magnitude Magnitude no direction directionLength, mass, time Displacement,electric current, velocity, force,temperature, area, Acceleration,distance, speed, Momentum, weight,energy,density,power impulse, pressure www.myfunphysicsworld.blogspot.com
5. 5. Conduct simple activity (pg 10) O C 16 m 8m A B 14 m Physics Lab PlanIdea : distance & displacement ; speed & velocity www.myfunphysicsworld.blogspot.com
6. 6. Distance = total length of thepath travelledDisplacement = distancetravelled from its initial positionto its final position www.myfunphysicsworld.blogspot.com
7. 7. Total Displacement, time, speed/ velocity/ distanc d/m t/s m s-1 m s-1 e, s/m A 8 8 from O to A 2.40 3.33 3.33 from O to A B 22 16 from O to B 5.28 4.17 3.03 C 30 14 from O to 7.65 3.92 1.83 C O 44 0 from O to O 10.32 4.26 0.00Displacement = distance travelled from its initial position to its final position www.myfunphysicsworld.blogspot.com
8. 8. Total Displacement, time, speed/ velocity/ distanc d/m t/s m s-1 m s-1 e, s/m A 8 ___ from O to 7.51 1.07 1.07 A from O to A B 22 ___ from O to 15.51 1.42 1.03 B C 30 ___ from O to 22.05 1.36 0.63 C O 44 ___ from O to 25.50 1.73 0.00 ODisplacement = distance travelled from its initial position to its final position www.myfunphysicsworld.blogspot.com
9. 9. Total Displacement time, speed/ velocity/ distance , d/m t/s m s-1 m s-1 , s/mA 9.0 9 from O to 3.13 2.87 2.87 A from O to AB 15.5 11.1 from O 5.34 2.90 2.08 to B from O to BC 24.5 6.5 from O to 8.24 2.97 0.79 C from O to CO 31.0 0 from O to O 10.67 2.90 0.00 from O www.myfunphysicsworld.blogspot.com to O
10. 10. Scalar VectorQuantities Quantitiese.g: distance, Displacementspeed , velocityHas Hasmagnitude but magnitudeno direction and direction www.myfunphysicsworld.blogspot.com
11. 11. Addition Scalar &Vector Quantities www.myfunphysicsworld.blogspot.com
12. 12. Adding Scalar QuantityCan be added, subtracted, multiplied anddivided like ordinary numbers.e.g:(a) 3 kg of sand is added to 1 kg cement, resulting mixture has a mass of 4 kg(b) 5 liters of water are poured from a pail that has 8 liters of water in it. The resulting volume is 3 liters www.myfunphysicsworld.blogspot.com
13. 13. Scalar Quantities 5 kg 10 kgTotal mass = 5 + 10 = 15 kg www.myfunphysicsworld.blogspot.com
14. 14. Adding Vector QuantityAn arrow is used to represent the magnitudeand direction of a vector quantity. Same direction = sum Opposite direction = minus www.myfunphysicsworld.blogspot.com
15. 15. eg. 1 50 N 30 NTotal Force* = 50 + 30 = 80 N (80 N due west//to the left)*=resultant force//net force www.myfunphysicsworld.blogspot.com
16. 16. eg. 2 50 N 10 NTotal Force = 50 - 10 = 40 N (40 N due west//to the left) www.myfunphysicsworld.blogspot.com
17. 17. eg. 350 N 50 NTotal Force = 50 - 50 = 0N(object is not moving//at rest//stationary) www.myfunphysicsworld.blogspot.com
18. 18. How much is the resultant force? www.myfunphysicsworld.blogspot.com
19. 19. www.myfunphysicsworld.blogspot.com
20. 20. Adding Vector Quantity An arrow is used to represent the magnitude and direction of a vector quantity. e.g : velocity of airplane = 100 km/h wind velocity = 20 km/h(a) If same direction, Resulting velocity of airplane= 100 + 20 = 120 km/h(a) If opposite direction, resulting velocity of airplane = 100 -20 = 80 km/h www.myfunphysicsworld.blogspot.com
21. 21. Special Case:Non-parallel vectors www.myfunphysicsworld.blogspot.com
22. 22. Case 1Two vectors acting at a point can be replacedby a single vector with the same effect. www.myfunphysicsworld.blogspot.com
23. 23. Case 2 Resultant VectorTwo vectors acting at a point can be replacedby a single vector with the same effect. www.myfunphysicsworld.blogspot.com
24. 24. www.myfunphysicsworld.blogspot.com
25. 25. www.myfunphysicsworld.blogspot.com
26. 26. Homework  www.myfunphysicsworld.blogspot.com
27. 27. 1. Jeremy walked 3 m due east, and then 4 m due north. (a) What is his total distance? 3m+4m=7m (b) What is his displacement? 5m 5m 4m 3m www.myfunphysicsworld.blogspot.com
28. 28. 2. Every morning Amirul walks to Badrul’s house which is situated 80m to the east of Amirul’s house. They then walks towards their school which is 60m to the south of Badrul’s house. What is the distance traveled by Amirul and his displacement from his house? www.myfunphysicsworld.blogspot.com