Bu'aan kutaa 12ffaa ba'eera; bu'aa kee eessatti akka ilaaltu

Yaadannoo boqonnaa fi gaaffii shaakalaa

Boqonnaa 1 Fiizikii kutaa 10: Hammawwan Veektarii

Wanti fuula kana irra jiru hundi boqonnaa 1 kitaaba Fiizikii kutaa 10 tiif: wanta boqonnaan haguugu, yaadannoo gabaabaa, gaaffii shaakalaa deebii isaanii waliin, fi viidiyoo barnootaa bakka jirutti.

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5
Kaardii
10
Gaaffii shaakalaa boqonnaa 1
6–27
Fuula kitaabaa boqonnaa 1

Boqonnaan 1 maal haguuga

  1. 1.Scalars and vectors
  2. 2.Vector representation
  3. 3.Vector addition and subtraction
  4. 4.Graphical Method of Vector Addition and Subtraction
  5. 5.Vector resolution

Yaadannoo gabaabaa boqonnaa 1

Kaardiiwwan fuula Fiizikii kutaa 10 irratti boqonnaa kana jala galmaa'an. Tokko tokkoon bani.

Yoom akka itti fayyadamtu

Vectors lama yookiin isaa ol walitti ida'uun hangi resultant shallaguuf yeroo hojjettu.

Of eeggadhu

Hanga vectors akkuma scalar salphaatti hin ida'in, kan danda'amu yoo vectors lachuu parallel ta'anii kallattii tokko qabaatan qofa.

Grade 10 Physics, fuula 6-27 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e

Yoom akka itti fayyadamtu

Ida'amni vectors kennamanii zero vector ta'uu danda'uu isaa adda baasuuf.

Of eeggadhu

Vectors lachuu resultant zero kan kennan yoo hangi isaanii qixa ta'ee fi kallattiin isaanii faallaa ta'e qofa dha. Vectors sadii hangi isaanii adda ta'es zero kennuu danda'u.

Grade 10 Physics, fuula 6-27 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e

θ=arctan⁡(RyRx)\theta = \arctan\left(\frac{R_y}{R_x}\right)
θ\theta
Kofa kallattii kan resultant vectordegree\text{degree}
RyR_y
Kooppooneentii vertical kan resultant vectorunit of R\text{unit of } R
RxR_x
Kooppooneentii horizontal kan resultant vectorunit of R\text{unit of } R

Yoom akka itti fayyadamtu

Kooppooneentii horizontal fi vertical irraa kofa kallattii resultant vector argachuuf fayyadami.

Of eeggadhu

Gatii kofaa qofa osoo hin taane kallattii akka north of east yookiin south of west ifatti ibsi.

Grade 10 Physics, fuula 6-27 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e

R=A2+B2R = \sqrt{A^2 + B^2}
RR
Hangi resultant vectorunit of A\text{unit of } A
AA
Hangi vector perpendicular duraaunit of A\text{unit of } A
BB
Hangi vector perpendicular lammaffaaunit of B\text{unit of } B

Yoom akka itti fayyadamtu

Vectors lachuu wal irratti kofa 90 yoo uuman hangi resultant vector shallaguuf itti fayyadami.

Of eeggadhu

Foormulaan kun kan hojjetu yoo kofni vectors lachan gidduu jiru kofa 90 qofa ta'e dha.

Grade 10 Physics, fuula 6-27 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e

Ax=Acos⁡θ,Ay=Asin⁡θA_x = A \cos\theta, \quad A_y = A \sin\theta
AxA_x
Kooppooneentii horizontal kan vector Aunit of A\text{unit of } A
AyA_y
Kooppooneentii vertical kan vector Aunit of A\text{unit of } A
AA
Hangi vector Aunit of A\text{unit of } A
θ\theta
Kofa vector sarara horizontal wajjin uumudegree\text{degree}

Yoom akka itti fayyadamtu

Vector tokko gara kooppooneentii horizontal fi vertical perpendicular ta'anitti caccabsuuf fayyadami.

Of eeggadhu

Kofichi sarara horizontal irraa safaramuu isaa mirkaneessi. Sarara vertical irraa yoo safarame cosine fi sine bakka wal jijjiiru.

Grade 10 Physics, fuula 6-27 irraa qophaa'e; osoo hin ba'in dura yeroo lama mirkanaa'e

Gaaffii shaakalaa boqonnaa 1

Gaaffii filannoo 10 boqonnaa kana irratti barreeffaman, tokkoon tokkoon isaanii deebii fi sababa qabu. Deebii banuu dura yaali. Gaaffiin kun Ingiliffaa tiin.

Gaaffii 1

Which of the following physical quantities is a vector quantity?

  1. A.Volume
  2. B.Temperature
  3. C.Mass
  4. D.Weight
Deebii fi sababa agarsiisi

Deebii: D Weight

Sababa

According to the textbook, weight, force, and velocity are vectors because they have both magnitude and direction. Volume, temperature, and mass are scalar quantities because they have magnitude only.

Gaaffii 2

What is the resultant magnitude when two parallel vectors A = 6.8 cm and B = 5.5 cm act in the same direction?

  1. A.1.3 cm
  2. B.12.3 cm
  3. C.37.4 cm
  4. D.0.0 cm
Deebii fi sababa agarsiisi

Deebii: B 12.3 cm

Sababa

When two vectors point in the same direction, their resultant is found by direct addition: R = A + B = 6.8 cm + 5.5 cm = 12.3 cm.

Gaaffii 3

What is the name of the single vector that produces the same overall effect as two or more vectors added together?

  1. A.Component vector
  2. B.Scalar quantity
  3. C.Resultant vector
  4. D.Perpendicular vector
Deebii fi sababa agarsiisi

Deebii: C Resultant vector

Sababa

The resultant vector is the result of adding two or more vectors together. The individual vectors can be replaced by the resultant where the overall effect is the same.

Gaaffii 4

Under what condition can the sum of two vectors be equal to zero?

  1. A.When they are perpendicular to each other
  2. B.When they have unequal magnitudes and point in the same direction
  3. C.When they have equal magnitudes and point in the same direction
  4. D.When they have equal magnitudes and point in opposite directions
Deebii fi sababa agarsiisi

Deebii: D When they have equal magnitudes and point in opposite directions

Sababa

The sum of two vectors can only be zero if they are equal in magnitude and opposite in direction.

Gaaffii 5

A force F = 40 N acts at an angle of 30° to the horizontal. What is the vertical component (Fy) of this force? (Note: sin 30° = 0.5)

  1. A.20 N
  2. B.40 N
  3. C.10 N
  4. D.80 N
Deebii fi sababa agarsiisi

Deebii: A 20 N

Sababa

The vertical component is calculated as Fy = F sin θ = 40 N × sin 30° = 40 N × 0.5 = 20 N.

Gaaffii 6

An athlete in Hawassa runs 6 m north and then 8 m east. What is the magnitude of the athlete's resultant displacement?

  1. A.2 m
  2. B.14 m
  3. C.10 m
  4. D.48 m
Deebii fi sababa agarsiisi

Deebii: C 10 m

Sababa

Since north and east are perpendicular, we use Pythagoras' theorem: R = √(62 + 82) = √(36 + 64) = √100 = 10 m.

Gaaffii 7

In the parallelogram law of vector addition, two vectors are joined tail to tail. Which part of the parallelogram represents their resultant vector?

  1. A.The perimeter of the parallelogram
  2. B.The diagonal of the parallelogram
  3. C.The shorter side of the parallelogram
  4. D.The longer side of the parallelogram
Deebii fi sababa agarsiisi

Deebii: B The diagonal of the parallelogram

Sababa

When two vectors form the adjacent sides of a parallelogram by joining their tails, the sum of the two vectors is given by the diagonal of the parallelogram.

Gaaffii 8

A displacement vector has a magnitude of 2.0 m directed due east. What is the magnitude of its component along the north direction?

  1. A.2.0 m
  2. B.1.0 m
  3. C.0.0 m
  4. D.-2.0 m
Deebii fi sababa agarsiisi

Deebii: C 0.0 m

Sababa

A vector that points completely along the east direction (x-axis) has no vertical part. Therefore, its component along the north direction (y-axis) is 0.0 m.

Gaaffii 9

A force vector of 10 N acts in the positive x direction. Which pair of forces acting in the negative x direction will result in a net force of zero?

  1. A.5 N and 7 N
  2. B.4 N and 6 N
  3. C.3 N and 8 N
  4. D.2 N and 6 N
Deebii fi sababa agarsiisi

Deebii: B 4 N and 6 N

Sababa

For the resultant to be zero, the total force in the negative x direction must equal 10 N. The forces 4 N and 6 N add up to 10 N in the negative direction, canceling out the 10 N positive force.

Gaaffii 10

According to the polygon law of vector addition, if several vectors are represented by consecutive sides of a polygon taken in order, how is their resultant represented?

  1. A.By the closing side of the polygon taken in the opposite order
  2. B.By the sum of the angles inside the polygon
  3. C.By the diagonal connecting opposite vertices
  4. D.By the longest side of the polygon taken in the same order
Deebii fi sababa agarsiisi

Deebii: A By the closing side of the polygon taken in the opposite order

Sababa

The polygon law states that if a number of vectors are represented in magnitude and direction by the sides of a polygon taken in the same order, then their resultant is represented in magnitude and direction by the closing side of the polygon taken in the opposite order.

Appiin boqonnaa kana irratti gaaffii 12 qaba; utuu hojjettuu ni sirreessa. Kan asii jiran 10 jalqabaa ti.

Fuula kitaabaa boqonnaa 1

Boqonnaan 1 Maxxansa Ministeera Barnootaa keessatti fuula 6 hanga fuula 27 ti.

Maxxansa Ministeera Barnootaa, Ingiliffaa, Fuula 212

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