T3-worksheet#1 vectors

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Work sheet (1) Chapter (5) Section (1)
Subject
Name
Date
Grade
10
vectors
Cluster
I-Choose the best answer:
1. Which of the following is a physical quantity that has a magnitude but no direction?
A.
vector.
B.
scalar.
C.
resultant.
D.
Frame of reference.
2. Which of the following is a physical quantity that has both magnitude and direction?
A.
Vector
B.
Resultant
C.
Scalar
D.
Frame of reference
3. Which of the following is an example of a vector quantity?
A.
B.
C.
D.
velocity.
temperature.
mass.
volume.
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4. Identify the following quantities as scalar or vector: the mass of an object, the number of leaves on a
tree, wind velocity.
A.
Vector, scalar, scalar.
B.
Scalar, scalar, vector.
C.
Scalar, vector, scalar.
D.
Vector, scalar, vector .
5. In the figure above, which diagram represents the vector addition C = A + B?
A.
I
B.
II
C.
III
D.
IV.
6. In the figure above, which diagram represents the vector subtraction C = A–B?
A.
I
B.
II .
C.
III.
D.
IV
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7. For the winter, a duck flies 10.0 m/s due south against a gust of wind with a speed of 2.5 m/s. What is
the resultant velocity of the duck?
A.
12.5 m/s south .
B.
–12.5 m/s south.
C.
7.5 m/s south.
D.
–7.5 m/s south.
8. The formula used to find the horizontal component of a vector is ____________.
A.
V = V Sin θ
B.
V = V Cos θ
C.
V2 = A2+B2
D.
V = V tan -1 θ
9. A person walks 4m north, then 7m south and finally 3m north. His displacement and distance
travelled are: ____________.
A.
Displacement 0m and Distance 14m
B.
Displacement 0m and Distance 0m
C.
Displacement 14m and Distance 0m
D.
Displacement 0m and Distance 7m
10. The resultant of two displacement vectors 3 m east and 4 m north is ___________
A.
5 m 53˚north east
B.
5 m 60˚ north west
C.
1m 53˚ northeast
D.
12 m60˚ northwest
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11.
How many displacement vectors shown in the figure above have components that lie along the y-axis and
are pointed in the –y direction?
A.
0
B.
3
C.
2
D.
5
How many displacement vectors shown in the figure above have horizontal components?
A.
2
B.
4
C.
3
D.
5
II- solve the following questions
12- What is the net force acting on the ring in the figure
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13- An ant on a picnic table travels 3.0 X 10 cm east, then 25 cm north, and finally 15 cm west.
What is the magnitude of the ant’s displacement relative to its original position?
14- Determine the magnitude and direction of the resultant force of the forces shown below.
Mathematically .
A= 60N
60˚
B= 40 N
-------------
15- Two displacement vectors each having a y- component of 10 km , are added together to form a
resultant that forms an angle of 60˚ from the +x- axis what is the magnitude of the resultant?
III- Answer the following question(s):
15-The length of a vector arrow in a diagram is proportional to what property of the vector?
16-What is a resultant?
17-Breaking a vector into two components is given what term?
18- If the magnitude of a vector component equals the magnitude of the vector, then what is the magnitude
of the other vector component?
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19- In the Figure below shows two vectors lying in the xy-plane. Determine the signs of the x- and y-components
 
 
of A , B , and A  B , and place your answers in the following table:
Vector x-component y-component

A

B
 
AB
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