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Physics Worksheets - Page 3

Physics Worksheets
  • Page 3
 21.  
The ordered pair notation of vector OM is
[Given a = 21 and b = 28.]


a.
<- 28, - 21>
b.
<- 21, - 28>
c.
<- 28, 21>
d.
<21, 28>


Solution:

As M is in quadrant III, the coordinates of M are (- 28, -21).
[From the figure.]

The ordered pair notation of vector OM is <- 28, -21>.


Correct answer : (1)
 22.  
Find the magnitude and direction of the vector OP. [Given b = 24 and c = 7.]


a.
25, tan-1(247) west of north
b.
24, north west
c.
25, tan-1(247) south of west
d.
25, tan-1(247) south of west


Solution:

In ΔOPM, OP = OM2 +PM2
[Pythagorean Theorem.]

OP = 72+242 = 25
[Substitute and simplify.]

tan θ = 24 / 7
[Use tangent ratio.]

θ = tan-1( 24 / 7)
[Find the angle.]

The magnitude and direction of vector OP are 25 and tan-1 (24 / 7) south of west.


Correct answer : (3)
 23.  
a = < 3, 5 >
b = < 5, 6 >
Find (a + b)
.
a.
<8, 11>
b.
<11, - 8>
c.
<9, 10>
d.
<9, 11>


Solution:

a + b = <3, 5> + <5, 6>

= <3 + 5, 5 + 6>
[Add the x - coordinates and y - coordinates.]

= <8, 11>
[Simplify.]


Correct answer : (1)
 24.  
Which of the following is true?
a.
a - b = b - a
b.
a = -a
c.
a + b = b + a
d.
| a - b| = | b + a|


Solution:

By the parallelogram rule of vector addition, we have a + b = b + a.


Correct answer : (3)
 25.  
Which of the following is false?
a.
|v| = | -v|
b.
u + v = v + u
c.
a = - a, a0
d.
| a - b| = |b - a|


Solution:

a and -a have same magnitude but opposite directions.

a ≠ -a
[a0.]


Correct answer : (3)
 26.  
Which of the following is true about OP?
I) Direction of OP is 30° east of north
II) Direction of OP is 30° north of east
III) Direction of OP is 60° east of north
IV) Direction of OP is 60° north of east.

a.
I & IV
b.
I & II
c.
II & III
d.
II & IV


Solution:


The directions 30° north of east and 60° east of north are identical.


The direction of OP is 30° north of east and 60° east of north.


Correct answer : (3)

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