In this worksheet, we will practice solving problems on the resolution of a force into two directions using the properties of a parallelogram and applying the sine rule.

**Q3: **

A force of magnitude 41 N acts due south. It is resolved into two components as shown on the diagram. Find the magnitudes of and . Give your answer to two decimal places.

- A ,
- B ,
- C ,
- D ,

**Q4: **

The angle between two forces, and is . Their resultant is 2,900 N and makes an angle of with . Find the forces and . Give your answers to two decimal places.

- A ,
- B ,
- C ,
- D ,

**Q5: **

A force of magnitude 99 N acts due south. It is resolved into two components as shown on the diagram. Find the magnitudes of and giving values to two decimal places.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q6: **

A force , acting in a northerly direction, is the resultant of two forces and . The force has a magnitude of 172 N and is acting north of east, and the force acts in a westerly direction. Find the magnitudes and .

- A ,
- B ,
- C ,
- D ,

**Q11: **

A force of magnitude 89 N acts due south. It is resolved into two components as shown on the diagram. Find the magnitudes of and . Give your answer to two decimal places.

- A ,
- B ,
- C ,
- D ,

**Q12: **

A force of magnitude 10 N acts due south. It is resolved into two components as shown on the diagram. Find the magnitudes of and . Give your answer to two decimal places.

- A ,
- B ,
- C ,
- D ,

**Q13: **

A force of magnitude 137 N acts due south. It is resolved into two components as shown on the diagram. Find the magnitudes of and giving values to two decimal places.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q14: **

A force of magnitude 157 N acts due south. It is resolved into two components as shown on the diagram. Find the magnitudes of and giving values to two decimal places.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q15: **

The angle between two forces, and is . Their resultant is 6,200 N and makes an angle of with . Find the forces and . Give your answers to two decimal places.

- A ,
- B ,
- C ,
- D ,

**Q16: **

The angle between two forces, and is . Their resultant is 2,600 N and makes an angle of with . Find the forces and . Give your answers to two decimal places.

- A ,
- B ,
- C ,
- D ,

**Q17: **

A force , acting in a northerly direction, is the resultant of two forces and . The force has a magnitude of 186 N and is acting north of east, and the force acts in a westerly direction. Find the magnitudes and .

- A ,
- B ,
- C ,
- D ,