11th Grade Physics Workbook METU Development Foundation High School 1

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

! !Answers

11th Grade Chapter-1 Vectors Activity - 1.1.1 Parallelogram & tip-to-tail methods

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

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

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

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 Chapter-1 Vectors Activity - 1.1.1 Parallelogram & tip-to-tail methods

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

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

F1

F2

F3

F4

F5

FR

x y

-1 +2

0 +2

3 0

0 -1

-2 -1

0 +2

FR=2 N (upward)

W

W

C

C

-M

M

11th Grade Chapter-1 Vectors Activity - 1.1.1 Parallelogram & tip-to-tail methods

11th Grade Physics Workbook METU Development Foundation High School 4

5.

Three forces F1→

, F2→

andF3→

are applied on different

points of a cube as shown in the figure. All the forces have a magnitude of 5 N. What is the magnitude of the resultant force of them in newton?

6.

The magnitude of force F1→

is 3 N and the

magnitude of forceF2→

is 4 N and they are applied

on the same point. The angle between them is “α”. If 0o ≤α < 90o then find the range of the magnitude of the resultant force.

7.

Three vectors X→

, Y→

and Z→

are given in the figure. The resultant vector is defined as

R→= Y→− X→+ Z→

Calculate the magnitude of resultant vector

R→

in meters. 8.

K→

and K→− L→

are vectors in the same plane.

If the magnitude of vector K→

is increased, how

will the magnitude of vector K→+ L→

change? !!!!!!!!!!!!!!!

!

11th Grade Physics Workbook METU Development Foundation High School 4

5.

Three forces F1→

, F2→

andF3→

are applied on different

points of a cube as shown in the figure. All the forces have a magnitude of 5 N. What is the magnitude of the resultant force of them in newton?

6.

The magnitude of force F1→

is 3 N and the

magnitude of forceF2→

is 4 N and they are applied

on the same point. The angle between them is “α”. If 0o ≤α < 90o then find the range of the magnitude of the resultant force.

7.

Three vectors X→

, Y→

and Z→

are given in the figure. The resultant vector is defined as

R→= Y→− X→+ Z→

Calculate the magnitude of resultant vector

R→

in meters. 8.

K→

and K→− L→

are vectors in the same plane.

If the magnitude of vector K→

is increased, how

will the magnitude of vector K→+ L→

change? !!!!!!!!!!!!!!!

!

All the forces are perpendicular to each

other.

R2=52+52+52 R2=3.52

R=5 3 N

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 Chapter-1 Vectors Activity - 1.1.1 Parallelogram & tip-to-tail methods

11th Grade Physics Workbook METU Development Foundation High School 4

5.

Three forces F1→

, F2→

andF3→

are applied on different

points of a cube as shown in the figure. All the forces have a magnitude of 5 N. What is the magnitude of the resultant force of them in newton?

6.

The magnitude of force F1→

is 3 N and the

magnitude of forceF2→

is 4 N and they are applied

on the same point. The angle between them is “α”. If 0o ≤α < 90o then find the range of the magnitude of the resultant force.

7.

Three vectors X→

, Y→

and Z→

are given in the figure. The resultant vector is defined as

R→= Y→− X→+ Z→

Calculate the magnitude of resultant vector

R→

in meters. 8.

K→

and K→− L→

are vectors in the same plane.

If the magnitude of vector K→

is increased, how

will the magnitude of vector K→+ L→

change? !!!!!!!!!!!!!!!

!

11th Grade Physics Workbook METU Development Foundation High School 4

5.

Three forces F1→

, F2→

andF3→

are applied on different

points of a cube as shown in the figure. All the forces have a magnitude of 5 N. What is the magnitude of the resultant force of them in newton?

6.

The magnitude of force F1→

is 3 N and the

magnitude of forceF2→

is 4 N and they are applied

on the same point. The angle between them is “α”. If 0o ≤α < 90o then find the range of the magnitude of the resultant force.

7.

Three vectors X→

, Y→

and Z→

are given in the figure. The resultant vector is defined as

R→= Y→− X→+ Z→

Calculate the magnitude of resultant vector

R→

in meters. 8.

K→

and K→− L→

are vectors in the same plane.

If the magnitude of vector K→

is increased, how

will the magnitude of vector K→+ L→

change? !!!!!!!!!!!!!!!

!

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

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 Chapter-1 Vectors Activity - 1.1.2 Components method

11th Grade Physics Workbook METU Development Foundation High School 5

1.1 - VECTORS Activity – 1.1.2

Components method 1.

Three forces 6 N, 8 N and 10 N are acting on the same point as shown in the figure. Calculate the magnitude of resultant force of these forces in N.

2.

R→

is the resultant force of forces F1→

andF2→

.

What is the ratio of the magnitude of F1→

to the

magnitude of F2→

?

3.

The components of F→

on coordinates “k” and “m”

areFk→

andFm→

.

Compare the magnitudes of F→

, Fk→

andFm→

.

4.

Three vectors K, L and M have the same magnitude of 1 N.

What is the magnitude of K→− L→− M→

?

11th Grade Physics Workbook METU Development Foundation High School 5

1.1 - VECTORS Activity – 1.1.2

Components method 1.

Three forces 6 N, 8 N and 10 N are acting on the same point as shown in the figure. Calculate the magnitude of resultant force of these forces in N.

2.

R→

is the resultant force of forces F1→

andF2→

.

What is the ratio of the magnitude of F1→

to the

magnitude of F2→

?

3.

The components of F→

on coordinates “k” and “m”

areFk→

andFm→

.

Compare the magnitudes of F→

, Fk→

andFm→

.

4.

Three vectors K, L and M have the same magnitude of 1 N.

What is the magnitude of K→− L→− M→

?

F2.cos30o=R

F2.sin30o=F1

F2.(0,5)=F1

F1

F2

=1

2

11th Grade Chapter-1 Vectors Activity - 1.1.2 Components method

11th Grade Physics Workbook METU Development Foundation High School 5

1.1 - VECTORS Activity – 1.1.2

Components method 1.

Three forces 6 N, 8 N and 10 N are acting on the same point as shown in the figure. Calculate the magnitude of resultant force of these forces in N.

2.

R→

is the resultant force of forces F1→

andF2→

.

What is the ratio of the magnitude of F1→

to the

magnitude of F2→

?

3.

The components of F→

on coordinates “k” and “m”

areFk→

andFm→

.

Compare the magnitudes of F→

, Fk→

andFm→

.

4.

Three vectors K, L and M have the same magnitude of 1 N.

What is the magnitude of K→− L→− M→

?

11th Grade Physics Workbook METU Development Foundation High School 5

1.1 - VECTORS Activity – 1.1.2

Components method 1.

Three forces 6 N, 8 N and 10 N are acting on the same point as shown in the figure. Calculate the magnitude of resultant force of these forces in N.

2.

R→

is the resultant force of forces F1→

andF2→

.

What is the ratio of the magnitude of F1→

to the

magnitude of F2→

?

3.

The components of F→

on coordinates “k” and “m”

areFk→

andFm→

.

Compare the magnitudes of F→

, Fk→

andFm→

.

4.

Three vectors K, L and M have the same magnitude of 1 N.

What is the magnitude of K→− L→− M→

?

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

K+L+M=0

K=-L - M

R=K-L-M

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

R=2K=2.1=2 N

11th Grade Chapter-1 Vectors Activity - 1.1.2 Components method

11th Grade Physics Workbook METU Development Foundation High School 6

5.

Three vectors F1→

, F2→

andF3→

are given. Calculate the magnitude of the vector

F1→

+F2→

+ F3→

. 6. When the angle between two concurrent forces having the same magnitude is 106o, the magnitude of their resultant force is 60 N. What would be the magnitude of the resultant of these two vectors if the angle between them is 74o?

7.

F1→

, F2→

andF3→

are in the same plane. The resultant

force of F1→

and F2→

is R1

→, the resultant force of

F1→

and F3→

is R2

→ and the resultant force of F2

→

and F3→

is R3

→.

If the magnitudes of R1→

, R2→

and R3→

are equal,

compare the magnitudes of F1→

, F2→

andF3→

?

8.

F1→

, F2→

andF3→

are forces in the same plane. An

object of mass m is stationary at point O. F1→

and

F2→

are applied on the object at the same time.

After a whileF3→

is applied on the object. What can be said about the motion of the object?

11th Grade Physics Workbook METU Development Foundation High School 6

5.

Three vectors F1→

, F2→

andF3→

are given. Calculate the magnitude of the vector

F1→

+F2→

+ F3→

. 6. When the angle between two concurrent forces having the same magnitude is 106o, the magnitude of their resultant force is 60 N. What would be the magnitude of the resultant of these two vectors if the angle between them is 74o?

7.

F1→

, F2→

andF3→

are in the same plane. The resultant

force of F1→

and F2→

is R1

→, the resultant force of

F1→

and F3→

is R2

→ and the resultant force of F2

→

and F3→

is R3

→.

If the magnitudes of R1→

, R2→

and R3→

are equal,

compare the magnitudes of F1→

, F2→

andF3→

?

8.

F1→

, F2→

andF3→

are forces in the same plane. An

object of mass m is stationary at point O. F1→

and

F2→

are applied on the object at the same time.

After a whileF3→

is applied on the object. What can be said about the motion of the object?

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

11th Grade Chapter-1 Vectors Activity - 1.1.2 Components method

11th Grade Physics Workbook METU Development Foundation High School 6

5.

Three vectors F1→

, F2→

andF3→

are given. Calculate the magnitude of the vector

F1→

+F2→

+ F3→

. 6. When the angle between two concurrent forces having the same magnitude is 106o, the magnitude of their resultant force is 60 N. What would be the magnitude of the resultant of these two vectors if the angle between them is 74o?

7.

F1→

, F2→

andF3→

are in the same plane. The resultant

force of F1→

and F2→

is R1

→, the resultant force of

F1→

and F3→

is R2

→ and the resultant force of F2

→

and F3→

is R3

→.

If the magnitudes of R1→

, R2→

and R3→

are equal,

compare the magnitudes of F1→

, F2→

andF3→

?

8.

F1→

, F2→

andF3→

are forces in the same plane. An

object of mass m is stationary at point O. F1→

and

F2→

are applied on the object at the same time.

After a whileF3→

is applied on the object. What can be said about the motion of the object?

11th Grade Physics Workbook METU Development Foundation High School 6

5.

Three vectors F1→

, F2→

andF3→

are given. Calculate the magnitude of the vector

F1→

+F2→

+ F3→

. 6. When the angle between two concurrent forces having the same magnitude is 106o, the magnitude of their resultant force is 60 N. What would be the magnitude of the resultant of these two vectors if the angle between them is 74o?

7.

F1→

, F2→

andF3→

are in the same plane. The resultant

force of F1→

and F2→

is R1

→, the resultant force of

F1→

and F3→

is R2

→ and the resultant force of F2

→

and F3→

is R3

→.

If the magnitudes of R1→

, R2→

and R3→

are equal,

compare the magnitudes of F1→

, F2→

andF3→

?

8.

F1→

, F2→

andF3→

are forces in the same plane. An

object of mass m is stationary at point O. F1→

and

F2→

are applied on the object at the same time.

After a whileF3→

is applied on the object. What can be said about the motion of the object? R1 = R2 = R3

F1 > F3 > F2

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.

10th Grade Chapter-1 Vectors Additional Problems

11th Grade Physics Workbook METU Development Foundation High School 7

1.1 - VECTORS Additional Problems

1.

Four vectors are given in the scaled figure. Suppose that each side of the squares is 1 m. Answer the following questions.

a) The magnitude of A→

+B→

+C→

+D→

is ______ m.

b) The magnitude of B→

+C→

is ______ m.

c) The magnitude of A→

+D→

is ______ m.

d) The magnitude of A→

+B→

−D→

is ______ m. 2.

Four vectors are given as in the figure above. In the following four different relations are given. If the relation is correct print “C” in the space supplied, if not print “W” and correct it.

______ a) X→

= T→

______ b) Z→

− X→

= −T→

______ c) Z→

+ T→

= Y→

______ d) T→

+ Y→

= Z→

3.

Five vectors and their magnitudes are given as in the figure. What is magnitude of the resultant vector in terms of F? 4.

The resultant of vectors in Figure-I is R1 and in Figure-II is R2. What is the ratio of magnitude of R1/R2?

11th Grade Physics Workbook METU Development Foundation High School 7

1.1 - VECTORS Additional Problems

1.

Four vectors are given in the scaled figure. Suppose that each side of the squares is 1 m. Answer the following questions.

a) The magnitude of A→

+B→

+C→

+D→

is ______ m.

b) The magnitude of B→

+C→

is ______ m.

c) The magnitude of A→

+D→

is ______ m.

d) The magnitude of A→

+B→

−D→

is ______ m. 2.

Four vectors are given as in the figure above. In the following four different relations are given. If the relation is correct print “C” in the space supplied, if not print “W” and correct it.

______ a) X→

= T→

______ b) Z→

− X→

= −T→

______ c) Z→

+ T→

= Y→

______ d) T→

+ Y→

= Z→

3.

Five vectors and their magnitudes are given as in the figure. What is magnitude of the resultant vector in terms of F? 4.

The resultant of vectors in Figure-I is R1 and in Figure-II is R2. What is the ratio of magnitude of R1/R2?

1

3

2

2 5

W

W

C

C

X = -T

Z + T = Y

10th Grade Chapter-1 Vectors Additional Problems

11th Grade Physics Workbook METU Development Foundation High School 7

1.1 - VECTORS Additional Problems

1.

Four vectors are given in the scaled figure. Suppose that each side of the squares is 1 m. Answer the following questions.

a) The magnitude of A→

+B→

+C→

+D→

is ______ m.

b) The magnitude of B→

+C→

is ______ m.

c) The magnitude of A→

+D→

is ______ m.

d) The magnitude of A→

+B→

−D→

is ______ m. 2.

Four vectors are given as in the figure above. In the following four different relations are given. If the relation is correct print “C” in the space supplied, if not print “W” and correct it.

______ a) X→

= T→

______ b) Z→

− X→

= −T→

______ c) Z→

+ T→

= Y→

______ d) T→

+ Y→

= Z→

3.

Five vectors and their magnitudes are given as in the figure. What is magnitude of the resultant vector in terms of F? 4.

The resultant of vectors in Figure-I is R1 and in Figure-II is R2. What is the ratio of magnitude of R1/R2?

11th Grade Physics Workbook METU Development Foundation High School 7

1.1 - VECTORS Additional Problems

1.

Four vectors are given in the scaled figure. Suppose that each side of the squares is 1 m. Answer the following questions.

a) The magnitude of A→

+B→

+C→

+D→

is ______ m.

b) The magnitude of B→

+C→

is ______ m.

c) The magnitude of A→

+D→

is ______ m.

d) The magnitude of A→

+B→

−D→

is ______ m. 2.

Four vectors are given as in the figure above. In the following four different relations are given. If the relation is correct print “C” in the space supplied, if not print “W” and correct it.

______ a) X→

= T→

______ b) Z→

− X→

= −T→

______ c) Z→

+ T→

= Y→

______ d) T→

+ Y→

= Z→

3.

Five vectors and their magnitudes are given as in the figure. What is magnitude of the resultant vector in terms of F? 4.

The resultant of vectors in Figure-I is R1 and in Figure-II is R2. What is the ratio of magnitude of R1/R2?

The vector sum of three F vectors and a 2F vector has a magnitude of 2F and it is in the

opposite direction of 5F vector.

R = 5F - 2F = 3F

R1

R2

=3

3

10th Grade Chapter-1 Vectors Additional Problems

11th Grade Physics Workbook METU Development Foundation High School 8

5.

Four force vectors are given in the figure above. Calculate the magnitude of resultant vector in N. 6.

Four force vectors are given in the figure above. Calculate the magnitude of resultant vector in N.

7.

The vectors K, L and M have the same magnitude of 5 N.

What is the magnitude of L→- M→+ 3 K

→?

8.

Object X is stationary over a frictionless horizontal surface. After the forces F1, F2 and F3 are applied on X at the same time, it stays stationary. (The angle “a” is 450.) Read the following statements. Decide whether they are correct or not. Print “C” for the correct ones, otherwise print “W” to the spaces supplied. You have to correct the wrong statements with the appropriate words. _____ The magnitude of F1 is equal to the

magnitude of F2.

_____ The magnitude of F2 is equal to the magnitude of F3.

_____ If F1 was removed then the object X had started to move towards +x.

_____ If the angle was smaller than 450 then the object X had started to move towards +y.

11th Grade Physics Workbook METU Development Foundation High School 8

5.

Four force vectors are given in the figure above. Calculate the magnitude of resultant vector in N. 6.

Four force vectors are given in the figure above. Calculate the magnitude of resultant vector in N.

7.

The vectors K, L and M have the same magnitude of 5 N.

What is the magnitude of L→- M→+ 3 K

→?

8.

Object X is stationary over a frictionless horizontal surface. After the forces F1, F2 and F3 are applied on X at the same time, it stays stationary. (The angle “a” is 450.) Read the following statements. Decide whether they are correct or not. Print “C” for the correct ones, otherwise print “W” to the spaces supplied. You have to correct the wrong statements with the appropriate words. _____ The magnitude of F1 is equal to the

magnitude of F2.

_____ The magnitude of F2 is equal to the magnitude of F3.

_____ If F1 was removed then the object X had started to move towards +x.

_____ If the angle was smaller than 450 then the object X had started to move towards +y.

2 N

12 N

10 N

6 3 N

R

x y

0

+6

6 N

-2

-6

+8

0

0

6 3

-6 3

R=6 N (to right)

5 N

10 N

7 N

5 N

R

x y

0

-7

4 N

+5

-6

0

+4

3 N

+8

+3

R=5 N

+ +

10th Grade Chapter-1 Vectors Additional Problems

11th Grade Physics Workbook METU Development Foundation High School 8

5.

Four force vectors are given in the figure above. Calculate the magnitude of resultant vector in N. 6.

Four force vectors are given in the figure above. Calculate the magnitude of resultant vector in N.

7.

The vectors K, L and M have the same magnitude of 5 N.

What is the magnitude of L→- M→+ 3 K

→?

8.

Object X is stationary over a frictionless horizontal surface. After the forces F1, F2 and F3 are applied on X at the same time, it stays stationary. (The angle “a” is 450.) Read the following statements. Decide whether they are correct or not. Print “C” for the correct ones, otherwise print “W” to the spaces supplied. You have to correct the wrong statements with the appropriate words. _____ The magnitude of F1 is equal to the

magnitude of F2.

_____ The magnitude of F2 is equal to the magnitude of F3.

_____ If F1 was removed then the object X had started to move towards +x.

_____ If the angle was smaller than 450 then the object X had started to move towards +y.

11th Grade Physics Workbook METU Development Foundation High School 8

5.

Four force vectors are given in the figure above. Calculate the magnitude of resultant vector in N. 6.

Four force vectors are given in the figure above. Calculate the magnitude of resultant vector in N.

7.

The vectors K, L and M have the same magnitude of 5 N.

What is the magnitude of L→- M→+ 3 K

→?

8.

Object X is stationary over a frictionless horizontal surface. After the forces F1, F2 and F3 are applied on X at the same time, it stays stationary. (The angle “a” is 450.) Read the following statements. Decide whether they are correct or not. Print “C” for the correct ones, otherwise print “W” to the spaces supplied. You have to correct the wrong statements with the appropriate words. _____ The magnitude of F1 is equal to the

magnitude of F2.

_____ The magnitude of F2 is equal to the magnitude of F3.

_____ If F1 was removed then the object X had started to move towards +x.

_____ If the angle was smaller than 450 then the object X had started to move towards +y.

K+L=M -K=L - M

R=L-M+3K

R=-K+3K=2K

R=2K=2.5=10 N

then

W

C

C

W

F1

Southeast