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Physics Worksheets - Page 2

Physics Worksheets
  • Page 2
 11.  
The direction of vector PQ is


a.
southeast
b.
southwest
c.
northwest
d.
northeast


Solution:

The direction of vector PQ is southwest or 45° south of west.
[From the figure.]


Correct answer : (2)
 12.  
Which of the following is a vector?
a.
Wind is blowing at 20 kmph, northwards.
b.
A man is traveling in northeast direction.
c.
A girl is running at 10 kmph.
d.
A car travels at 40 kmph


Solution:

A vector has both magnitude and direction.

The velocity of the wind in one of the options is a vector as both its magnitude and direction are given.


Correct answer : (1)
 13.  
Two vectors are said to be equal if they have the same ...
a.
magnitude
b.
direction and magnitude
c.
direction or magnitude
d.
direction


Solution:

Equal vectors have same direction and magnitude.


Correct answer : (2)
 14.  
The ordered pair notation of vector OP is ...


a.
<5, - 10>
b.
<5, 10>
c.
<10, 5>
d.
<-10, - 5>


Solution:

The coordinates of P are (10, 5).

The ordered pair notation of vector OP is <10, 5>.


Correct answer : (3)
 15.  
The ordered pair notation of OQ is [Given a = 63.]


a.
< - 48.2, 40.4>
b.
< - 40.4, 48.2>
c.
<40.4, - 63>
d.
<63, 40.4>


Solution:

cos 50° = OM63 and sin 50° = QM63.
[Use sine and cosine.]

OM = 63 (cos 50°) and QM= 63 (sin 50°)
[Cross multiply.]

OM 40.4 and QM 48.2

As Q lies in the second quadrant, its y - coordinate is positive and x - coordinate is negative.

The coordinates of Q are (- 40.4, 48.2)

The ordered pair notation of OQ is < - 40.4, 48.2>


Correct answer : (2)
 16.  
Parallel vectors have same ...
a.
magnitude and direction
b.
direction
c.
magnitude


Solution:

Parallel vectors have same direction.


Correct answer : (2)
 17.  
A vector has ...
a.
both magnitude and direction.
b.
finite number of points.
c.
direction.
d.
magnitude.


Solution:

By definition, a vector is any quantity that has both magnitude and direction.


Correct answer : (1)
 18.  
The magnitude of vector AB is [Given a = 5.]

a.
± 5
b.
- 5
c.
5
d.
None of the above


Solution:

Magnitude of a vector can never be negative.

From the figure, magnitude of vector AB is 5.


Correct answer : (3)
 19.  
Which of the following vectors has a magnitude of 5 units?

a.
Figure D
b.
Figure B
c.
Figure A
d.
Figure C


Solution:

In figure D, OL = OK2 +KL2 = 32 +42= 5 units.
[Use Pythagorean Theorem and simplify.]

The magnitude of OL is 5 units.


Correct answer : (1)
 20.  
Which of the following vectors has the same magnitude as <27, 36>?
a.
<- 27, 36>
b.
<27, - 36>
c.
<- 27, - 36>
d.
All of the above


Solution:

The magnitude of the vector <x, y> is x2+y2

Magnitude of <27, 36> = 272+362 = 45.

Magnitude of <27, - 36> = 272+(-36)2 = 45.

Magnitude of <- {27], - 36> = (-27)2+(-36)2 = 45.

The vectors <27, 36>, < - 27, 36>, <27, - 36>, and < - 27, - 36> have the same magnitude.


Correct answer : (4)

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