Thursday 16 Sep

Key concept: Vectors & Density

1. If vector A = 5 m north and vector B = 10 m east, find the resultant of vector (polar form).

2.      300 @ 240⁰   find rectangular form.

3. Find speed, displacement & velocity of the following

East @ 20km/hr for 1.5 hours,

South @ 20km/hr for 1 hours,

North @ 30km/hr for 2 hours,

West @ 40km/hr for 2 hours,

North @ 20km/hr for 0.5 hours

1. If vector A = 5 m north and vector B = 10 m east

Ans =   11.2m ∟26.5⁰

2. 300 @ 240⁰ 

Ans =   x = -150    y = -260

3.  East @ 20km/hr for 1.5 hours,

   South @ 20km/hr for 1 hours,

   North @ 30km/hr for 2 hours,

   West @ 40km/hr for 2 hours,

   North @ 40km/hr for 0.5 hours

                  Speed  = 200/7 = 28.5 km/hr

            Displacement = 70.7 ∟135⁰  km

          Velocity =    10.1 ∟135⁰  km/hr

Thursday 16 Sep Lab: Mass, Weight & Density

 L#5:  1-15, 21   Due Fri 17 Sep

(More Vectors, Equilibrium)

 L#6:  1-16, 20   Due Monday 20 Sep

(Temperature)

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Vector Worksheet

1. If vector A = 5 m north and vector B = 10 m east, find the resultant of vector (polar form).

2.      300 @ 240⁰   find rectangular form.

3. Find speed, displacement & velocity of the following

East @ 20km/hr for 1.5 hours,

South @ 20km/hr for 1 hours,

North @ 30km/hr for 2 hours,

West @ 40km/hr for 2 hours,

North @ 20km/hr for 0.5 hours

4. What is the result (polar) of the following three vectors:
                    

      100 @ 90⁰

                                                                 90 @ 0⁰

                                                                      200 @ 340 ⁰

5. What is the result (polar) of the following three vectors:

                                                                                      100 @ 60⁰

               200 @ 180⁰

                                                                                                 100 @ 315⁰

6. A person bikes for 3 hours. Their displacement is 50 km ∟120⁰  Provide a logical path (x and y) that the would be at for 1^st , 2^nd, and 3 hour in order to arrive at this displacement

x₁  =                     y₁  =

x₂  =                     y₂  =

x₃  =                     y₃  =

 Answers:

1. If vector A = 5 m north and vector B = 10 m east

Ans =   11.2m ∟26.5⁰

2. 300 @ 240⁰ 

Ans =   x = -150    y = -260

3.  East @ 20km/hr for 1.5 hours,

   South @ 20km/hr for 1 hours,

   North @ 30km/hr for 2 hours,

   West @ 40km/hr for 2 hours,

   North @ 40km/hr for 0.5 hours

                  Speed  = 200/7 = 28.5 km/hr

            Displacement = 70.7 ∟135⁰  km

          Velocity =    10.1 ∟135⁰  km/hr

4.   280 ∟6.6⁰

      100 @ 90⁰

     90 @ 0⁰

                                                                                 200 @ 340 ⁰

5.  80.9 ∟168.7⁰

 100 @ 60⁰

               200 @ 180⁰

    100 @ 315⁰

6. 50 km ∟120⁰ 

x =  - 25    y = 43.3