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Worksheets

Vectors

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

Which vector best represents the resultant of forces F1 and F2 acting concurrently on point P, as shown in the diagram?

a)

b)

c)

d)

2.

Two perpendicular forces act on an object as shown in the diagram. What is the magnitude of the resultant force on the object?

a)

17 N

b)

13 N

c)

7.0 N

d)

5.0 N

3.

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 topview accompanying diagram. Which vector best represents the resultant of these two forces?

a)

b)

c)

d)

4.

The diagram 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?

a)

b)

c)

d)

5.

The resultant of the forces shown is

a)

30 N to the left

b)

30 N to the right

c)

90 N to the left

d)

90 N to the right

6.

Add the vectors <-4, 6> and <-4, -8>

a)

<0, 14>

b)

<-8, -2>

7.

If c = <-5, 4> and d = <8, 0>, calculate 2c+d

a)
<-2, 8>
b)
<-2, 0>
c)
<6, 8>
d)
<6, 0>
8.
If y = <2, 0> and
z = <-1, -4>, find 3y - 2z.
a)
<5, -8>
b)
<4, 8>
c)
<8, 8>
d)
<-8, -8>
9.
Find the components of a vector v such that 
v + 
〈-6,4〉 = 〈10,-3〉
a)
〈4,1〉
b)
〈16,4〉
c)
〈16,-7〉
d)
none of these
10.
How do you combine vectors if they are at a right angle to each other, and you know two sides?
a)
Multiply
b)
Divide
c)
Pythagorean Theorem
d)
Use trigonometry
11.

Given a vertical velocity of 300 in/s and a horizontal velocity of 400 in/s, find the resultant velocity and angle of the plane.

a)

500 in/s at an angle of 37 degrees

b)

500 in/s at an angle of 41 degrees

c)

50 in/s at an angle of 37 degrees

d)

50 in/s at an angle of 41 degrees

12.
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