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Resolving vectors and inclined planes

Total questions: 10

Worksheet time: 12mins

Name
Class
Date
1.
Find the direction and magnitude of the resultant vector for the drawing of two forces.
a)
Direction 90°
Magnitude 139.0N
b)
Direction 52.3°
Magnitude 195N
c)
Direction 52.3°
Magnitude 139.0N
d)
Direction 37.7°
Magnitude 139.0N
2.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
3.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
4.

Read this one carefully:


The diagram shows the forces acting on an object on an inclined surface. The component of R parallel to the inclined surface is

a)

0

b)

W

c)

RcosθR\cos\theta

d)

RsinθR\sin\theta

5.

With this one, try drawing the diagram yourself to help you if you need it:

A football is kicked at 12 m s-1 at an angle of 35° to the horizontal. The horizontal component of its velocity, in m s-1, is given by

a)

12cos 35°12\cos\ 35\degree

b)

12sin35°12\sin35\degree

c)

12cos35°\frac{12}{\cos35\degree}

d)

12sin35°\frac{12}{\sin35\degree}

6.

A box of weight 150 N is placed on an inclined plane. The component of the box’s weight acting along the plane is given by W'. What would be the value of W', in Newtons?

a)

150cos15°\frac{150}{\cos15\degree}

b)

150×cos15°150\times\cos15\degree

c)

150sin15°\frac{150}{\sin15\degree}

d)

150×sin15°150\times\sin15\degree

7.

A student goes down a slide. Which of the diagrams correctly represents the forces acting on the student?

a)

A

b)

B

c)

C

d)

D

8.

Two forces F1 and F2 act on an object as in the diagram above.


If F1 and F2 are drawn to scale, the resultant force can be found by measuring the length of the resultant line FR.


Which of the following diagrams shows the correct position of the line FR?

a)
b)
c)
d)
9.

A car travels 90 m east then 50 m north. A vector diagram is drawn with a dashed line representing the resultant displacement.


Which is a correct vector diagram for the displacement of the car? LOOK AT THE DIAGRAMS VERY CAREFULLY, SPECIFICALLY THE ARROW HEADS

a)

A

b)

B

c)

C

d)

D

10.

FINAL QUESTION: TAKE YOUR TIME. REMEMBER A DRAWING WILL HELP!


A Force F is resolved into two components, Fh and Fv at right angles to each other as in the diagram above. Which statement below is NOT true?

a)

Decreasing the angle θ will increase the size of Fh

b)

Increasing the angle θ will increase the size of Fv

c)

Fh and Fv have sizes that when added together give a total equal to the size of F.

d)

Fh and Fv have sizes that when added together give a total greater than the size of F.