**Q3: **

A force of 31 newtons is acting on a point , while a parallel force of newtons is acting on a point . The magnitude of the resultant of these two forces is 73 newtons. If the 31-newton force and the resultant are acting in opposite directions, what is the value of ?

**Q4: **

A force of 6 newtons is acting on a point , while a parallel force of newtons is acting on a point . The magnitude of the resultant of these two forces is 44 newtons. If the 6-newton force and the resultant are acting in opposite directions, what is the value of ?

**Q5: **

The given figure shows two parallel forces of magnitude N and 38 N and their resultant . If and , determine and the length of .

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

**Q6: **

The given figure shows two parallel forces of magnitude N and 20 N and their resultant . If and , determine and the length of .

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

**Q7: **

In the figure below, and are two parallel forces measured in newtons, where their resultant. If , , and , determine the magnitude of and .

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

**Q8: **

In the figure below, and are two parallel forces measured in newtons, where their resultant. If , , and , determine the magnitude of and .

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

**Q9: **

and are two parallel forces acting at the points and respectively, where , and their resultant is acting at the point , where . Given that when the two forces are acting in the same direction, and their resultant is 28 N when they are acting in opposite directions, determine the magnitude of each of the two forces.

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

**Q10: **

The magnitude of the resultant of two parallel forces and equals 61 N. The magnitude of equals 112 N and the distance between and the line of action of the resultant is 17 cm. If and the resultant have opposite directions, find the magnitude of the second force and the distance between the lines of action of the forces , rounding this answer to two decimal places.

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

**Q11: **

Given that the two parallel forces and are acting at and respectively, determine their resultant , and find its point of action.

- A , acts at
- B , acts at
- C , acts at
- D , acts at

**Q12: **

Two parallel forces and are acting at two points and , and their resultant is acting at point , where , the magnitude of newtons, , and . If and are in opposite directions, find the values of and .

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

**Q13: **

Two parallel forces and are acting at two points and , and their resultant is acting at point , where , the magnitude of newtons, , and . If and are in opposite directions, find the values of and .

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

**Q14: **

Two parallel forces and are acting on two points and respectively, where the magnitude of is 5 newtons and cm. Their resultant is acting on point , where and cm. If and are acting in opposite directions, find the magnitudes of and .

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