Physics Homework Resultant Force

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3 Two forces act concurrently on an object. Their resultant force has the largest

magnitude when the angle between the forces is

(1) 0° (3) 90°

(2) 30° (4) 180°

4 In the diagram below, a 20.-newton force due north and a 20.-newton force

due east act concurrently on an object, as shown in the diagram below.

The additional force necessary to bring the object into a state of equilibrium is

(1) 20. N, northeast (3) 28 N, northeast

(2) 20. N, southwest (4) 28 N, southwest

5 The resultant of two forces acting at right angles is 100N.

The magnitude of the vertical component of this force is approximately

(1) 30. N (3) 71 N

(2) 50. N (4) 87 N

6 A force of 60. newtons is applied to a rope to pull a sled across a horizontal

surface at a constant velocity. The rope is at an angle of 30. degrees above

the horizontal.

Calculate the magnitude of the component of the 60.-newton force that is

parallel to the horizontal surface.

7 A 20.-newton force due north and a 40.-newton force due east act concurrently on a 10.-

kilogram object, located at point P.

a) Using a ruler, determine the scale used in the vector diagram by finding the number of

newtons represented by each centimeter.

b) On the vector diagram on your answer paper, use a ruler and protractor to construct

the vector that represents the resultant force.

c) What is the magnitude of the resultant force?

d) What is the measure of the angle (in degrees) between east and the resultant force?

e) Calculate the magnitude of the acceleration of the object. [Show all calculations,

including the equation and substitution with units.]

8 Forces F1 and F2 act concurrently on point P, as shown in the diagram below.

The equilibrant of F1 and F2 is

(1) 14 N southwest (3) 20. N southwest

(2) 14 N southeast (4) 20. N southeast

9 The vector below represents the resultant of two forces acting concurrently on

an object at point P.

Which pair of vectors best represents two concurrent forces that combine to

produce this resultant force vector?

10 A 5-newton force directed east and a 5-newton force directed north act

concurrently on a point. The resultant of the two forces is

(1) 5 N northeast (3) 7 N northeast

(2) 10. N southwest (4) 7 N southwest

11 A 5.0-newton force and a 7.0-newton force act concurrently on a point. As the

angle between the forces is increased from 0° to 180°, the magnitude of the

resultant of the two forces changes from

(1) 0.0 N to 12.0 N (3) 12.0 N to 2.0 N

(2) 2.0 N to 12.0 N (4) 12.0 N to 0.0 N

12 A 5.0-newton force could have perpendicular components of

(1) 1.0 N and 4.0 N (3) 3.0 N and 4.0 N

(2) 2.0 N and 3.0 N (4) 5.0 N and 5.0 N

13 Two 30.-newton forces act concurrently on an object. In which diagram would

the forces produce a resultant with a magnitude of 30. newtons?

14 Two students push on a sled. One pushes with a force of 30. newtons east

and the other exerts a force of 40. newtons south, as shown in the top-view

diagram below.

Which vector best represents the resultant of these two forces?

15 Two concurrent forces have a maximum resultant of 45 newtons and a

minimum resultant of 5 newtons. What is the magnitude of each of these

forces?

(1) 0 N and 45 N (3) 20. N and 25 N

(2) 5 N and 9 N (4) 0 N and 50. N

16 Which is a vector quantity?

(1) distance (3) power

(2) speed (4) force

17 The diagram below represents a force vector, A, and a resultant vector, R,

Which force vector B below could be added to force vector A to produce

resultant vector R?

18 A force vector was resolved into two perpendicular components, F1 and F2, as

shown in the diagram below.

Which vector best represents the original force?

19 Which pair of forces acting concurrently on an object will produce the

resultant of greatest magnitude?

20 A 3-newton force and a 4-newton force are acting concurrently on a point.

Which force could not produce equilibrium with these two forces?

(1) 1 N (3) 9N

(2) 7 N (4) 4N

21 A 6-newton force and an 8-newton force act concurrently on a box located on

a frictionless horizontal surface. Which top-view diagram shows the forces

producing the smallest magnitude of acceleration of the box?

22 A 6.0-newton force and an 8.0-newton force act concurrently on a point. As

the angle between these forces increases from 0° to 90°, the magnitude of

their resultant

(1) decreases

(2) increases

(3) remains the same

23 Forces A and B have a resultant R. Force A and resultant R are represented in

the diagram below.

Which vector best represents force B?

24 The diagram below represents a 5.0-newton force and a 12-newton force

acting on point P.

The resultant of the two forces has a magnitude of

(1) 5.0 N (3) 12 N

(2) 7.0 N (4) 13 N

25 The diagram below shows a resultant vector, R.

Which diagram best represents a pair of component vectors, A and B, that

would combine to form resultant vector R?

26 The vector diagram below represents two forces, F1 and F2, simultaneously

acting on an object.

Which vector best represents the resultant of the two forces?

27 As the angle between two concurrent forces decreases, the magnitude of the

force required to produce equilibrium

(1) decreases

(2) increases

(3) remains the same

28 The vector diagram below represents the horizontal component, FH, and the

vertical component, FV, of a 24-newton force acting at 35° above the

horizontal.

What are the magnitudes of the horizontal and vertical components?

(1) FH = 3.5 N and FV = 4.9 N

(2) FH = 4.9 N and FV = 3.5 N

(3) FH = 14 N and FV = 20. N

(4) FH = 20. N and FV = 14 N