1.1. a) Calculate the resultant force X.a) Calculate the resultant force X.

© 2010 James Ferguson

P5b Vectors and Equations of MotionSPACE FOR REFLECTIONHomework 30mins approx

Resultant ForcesResultant Forces

Resultant Force = √ ForceA2 + ForceB2

Resultant Force = √ 32 + 82

Resultant Force = 8.54N

b) Calculate the resultant angle b) Calculate the resultant angle θθ..

Θ = tan-1 opposite / adjacent

Θ = tan-1 3 / 8

Θ = 20.56°

1 mark1 mark

1 mark1 mark

Total 6 marksTotal 6 marks

1 mark1 mark

1 mark1 mark

1 mark1 mark

1 mark1 mark

3N

8N

Θ

X

2.2. a) Calculate the resultant force X.a) Calculate the resultant force X.

© 2010 James Ferguson

P5b Vectors and Equations of MotionSPACE FOR REFLECTIONHomework 30mins approx

Resultant ForcesResultant Forces

Resultant Force = √ ForceA2 + ForceB2

Resultant Force = √ 5.52 + 7.32

Resultant Force = 9.14N

b) Calculate the resultant angle b) Calculate the resultant angle θθ..

Θ = tan-1 opposite / adjacent

Θ = tan-1 7.3 / 5.5

Θ = 53.00°

1 mark1 mark

1 mark1 mark

Total 6 marksTotal 6 marks

1 mark1 mark

1 mark1 mark

1 mark1 mark

1 mark1 mark

5.5N

7.3N

ΘX

3.3. a) Calculate the resultant force X.a) Calculate the resultant force X.

© 2010 James Ferguson

P5b Vectors and Equations of MotionSPACE FOR REFLECTIONHomework 30mins approx

Resultant ForcesResultant Forces

Resultant Force = √ ForceA2 + ForceB2

Resultant Force = √ 10.02 + 4.82

Resultant Force = 11.09N

b) Calculate the resultant angle b) Calculate the resultant angle θθ..

Θ = tan-1 opposite / adjacent

Θ = tan-1 4.8 / 10.0

Θ = 25.64°

1 mark1 mark

1 mark1 mark

Total 6 marksTotal 6 marks

1 mark1 mark

1 mark1 mark 1 mark1 mark

1 mark1 mark

4.8N

10.0N

Θ

X

4.4. a) Calculate the resultant force X.a) Calculate the resultant force X.

© 2010 James Ferguson

P5b Vectors and Equations of MotionSPACE FOR REFLECTIONHomework 30mins approx

Resultant ForcesResultant Forces

Resultant Force = √ ForceA2 + ForceB2

Resultant Force = √ 4.52 + 4.52

Resultant Force = 6.36N

b) Calculate the resultant angle b) Calculate the resultant angle θθ..

Θ = tan-1 opposite / adjacent

Θ = tan-1 4.5 / 4.5

Θ = 45°

1 mark1 mark

1 mark1 mark

Total 6 marksTotal 6 marks

1 mark1 mark

1 mark1 mark

1 mark1 mark

1 mark1 mark

4.5N

4.5N

ΘX

5.5. a) Calculate the resultant force X.a) Calculate the resultant force X.

© 2010 James Ferguson

P5b Vectors and Equations of MotionSPACE FOR REFLECTIONHomework 30mins approx

Resultant ForcesResultant Forces

Resultant Force = √ ForceA2 + ForceB2

Resultant Force = √ 13.22 +3.32

Resultant Force = 13.61N

b) Calculate the resultant angle b) Calculate the resultant angle θθ..

Θ = tan-1 opposite / adjacent

Θ = tan-1 3.3 / 13.2

Θ = 14.04°

1 mark1 mark

1 mark1 mark

Total 6 marksTotal 6 marks

1 mark1 mark

1 mark1 mark

1 mark1 mark

1 mark1 mark

3.3N

13.2N

Θ

X