11th grade Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 17

Solutions

11th Grade Physics Workbook METU Development Foundation High School 3

1.1 - VECTORS Activity – 1.1.1

Parallelogram & tip-to-tail methods !1.

Twelve vectors are given in the figure above. The magnitude of each vector is “F”. What is the magnitude of the resultant vector of them in terms of “F”?

2.

The magnitude of each vector given in the figure is “F”. What is the magnitude of the resultant vector of them in terms of “F”?

3.

Five vectors are acting on point K as in the figure. What is the magnitude of the resultant vector in newton? (Each square is 1 N along one side.)

4.

According to given figure decide whether the following operations correct or wrong. If the operation is correct print “C” to the space supplied, otherwise print “W”. You have to correct the wrong operations. ______

!K + !L = !M

______

!N + !P + !L = 0

______

!N + !P - !K = -

!M

______ N

!"+"P+"M+ "K = - 2

"L

AB

DC

E FG H

A +H =0

B +G =0

C + F =0

D + E =0

Other 4 forces are all in the same direction and have the same magnitude of “F”.

FR=4F

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 17

Solutions

11th Grade Physics Workbook METU Development Foundation High School 3

1.1 - VECTORS Activity – 1.1.1

Parallelogram & tip-to-tail methods !1.

Twelve vectors are given in the figure above. The magnitude of each vector is “F”. What is the magnitude of the resultant vector of them in terms of “F”?

2.

The magnitude of each vector given in the figure is “F”. What is the magnitude of the resultant vector of them in terms of “F”?

3.

Five vectors are acting on point K as in the figure. What is the magnitude of the resultant vector in newton? (Each square is 1 N along one side.)

4.

According to given figure decide whether the following operations correct or wrong. If the operation is correct print “C” to the space supplied, otherwise print “W”. You have to correct the wrong operations. ______

!K + !L = !M

______

!N + !P + !L = 0

______

!N + !P - !K = -

!M

______ N

!"+"P+"M+ "K = - 2

"L

A

B

C

D E

F

A + E =0

D + C =0

Other 2 forces (B and F) are all in the

same direction and have the same magnitude of “F”.

FR=2F

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 17

Solutions

F1

F2

F3

F4

F5

FR

x y

-1 +2

0 +2

3 0

0 -1

-2 -1

0 +2

FR=2 N (upward)

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 17

Solutions

W

W

C

C

-M

M

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 18

Solutions

All the forces are perpendicular to each

other.

R2=52+52+52 R2=3.52

R=5 3 N

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 18

Solutions

R1=3+4=7 N (when the angle is 0o)

R2=5 N (when the angle is 90o)

7 N>R>5 N

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 18

Solutions

Y and Z are perpendicular to each other. the

magnitude of their resultant vector is

4 2 m

The resultant vector of vectors Y and Z is perpendicular to the opposite vector of vector X.

Then,

R=4 3 m

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 18

Solutions

K

K L-

-L

K

L

K L+

If the magnitude of vector K was increased, the magnitude of the sum of vectors K and L would

increase.

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 19

Solutions

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 17

Solutions

F2.cos30o=R

F2.sin30o=F1

F2.(0,5)=F1

F1

F2

=1

2

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 19

Solutions

Draw parallel lines from the

tip of vector F to the axes k and m to show the

components on that axes.

Fk

Fm

=5

2

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 19

Solutions

K+L+M=0

K=-L - M

R=K-L-M

R=K+(-L-M)=2K

R=2K=2.1=2 N

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 20

Solutions

11th grade

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 20

Solutions

11th grade

53o 53o

FF

y

x

x components will cancel each other.

Their resultant vector has a magnitude of 2 times of y component

of one of them.

R=2.F.cos53o

60=2.F.0,6 then F=50 N

37o 37o

FFy

x

R=2.F.cos37o

R=2.50.0,8 then

R=80 N

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 20

Solutions

11th grade

R1 = R2 = R3

F1 > F3 > F2

then

Fizx

Unit-1 Force & Motion

1.1 Vectorspage - 20

Solutions

11th grade

The resultant vector of F1 and F2 is 2 units and it is directed to

right. This means there is a nonzero net force acting on the

object that starts the object to accelerate to right.

After F3 is applied, the net force on the object will be zero. So the object moves with its constant

velocity.