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vector addition and substracting

Total questions: 33

Worksheet time: 25mins

Name
Class
Date
1.

Find the resultant vector when the following are combined: 2 m west, 5 m east and 7 m west.

a)

5 m east

b)

4 m west

c)

7 m east

d)

14 m east

2.

add the following vectors to find the resultant vector: 3 m up, 2 m down and 3 m down

a)

8 m down

b)

2 m down

c)

3 m up

3.

Determine the resultant vector of a toy train that is made to move in these directions: 23 m forwards, 16 m backwards, 7 m forwards and 3 m backwards

a)

11m forwards

b)

40 m backwards

c)

20m forwards

4.

What is the magnitude of the resultant vector when 30 m south and 40 m west are added?

a)

7.7 m

b)

44.7 m

c)

50.0 m

d)

2000 m

5.

a car that was initially traveling at a velocity of 3 m/s west is later traveling at 5 m/s east. what is the difference between the two vector?

a)

2 m/s west

b)

8 m/s east

c)

8 m/s west

d)

2 m/s east

6.

Determine the change in velocity of a runner who changes from running at 4 m/s to the right on grass to running 2 m/s to the right in sand.

a)

2 m/s left

b)

6 m/s right

c)

2 m/s right

d)

6 m/s left

7.

A student throws a ball up into the air at 4m/s. a short time later the ball is traveling back downwards to hit the ground at 3 m/s. Determine the change in velocity of ball during this time.

a)

7 m/s downwards

b)

1 m/s upwards

c)

7 m/s upwards

d)

1 m/s downwards

8.

Tom hits a tennis ball against a wall. If the ball travels towards the wall at 35 m/s north and rebounds at 32.5 m/s south, calculate the change in velocity of the ball.

a)

2.5 m/s north

b)

2.5 m/s south

c)

67.5 m/s south

d)

67.5 m/s north

9.

Jamelia applies the brakes on her car and changes her velocity from 22.2 m/s forwards to 8.20 m/s forwards. calculate the change in velocity of Jamelia's car

a)

14 m/s backwards

b)

30.4 m/s forwards

c)

14 m/s forwards

d)

30.4 m/s backwards

10.

A yacht tacks during a race, changing its velocity from 7.05 m/s south to 5.25 m/s west. calculate the change in velocity of the yacht.

a)

8.79 m/s

b)

1.8 m/s

11.

Mary's mass is 75 kg. what is her weight on earth if g is 9.8 N/kg?

a)

735 N

b)

75 kg

c)

750 N

12.

A desk chair has a weight of 34.3 N on the surface of the Earth. Determine the mass of the chair. use g=9.8 N/kg

a)

3.5 kg

b)

3.4 kg

c)

34.3 kg

d)

34.3 N

13.

Determine the weight of the same chair 34.3 N when it is on the surface of the moon, where g=1.6 N/kg

a)

3.5 N

b)

5.6 N

c)

34.3 N

14.

On the surface of the earth, a geological hammer has a mass of 1.5 kg.Determine its mass and weight on Mars, where g=3.6 N/kg

a)

1.5 kg; 5.4 N

b)

1.5 kg; 15 N

c)

5.4 kg; 5.4 N

d)

5.4 Kg; 15 N

15.

Add the following force vectors using a number line: 3 N left, 2 N right, 6 N right. Then also describe the resultant force vector.

a)

5 N right

b)

11 N right

c)

5 N left

d)

11 N right

16.

Determine the resultant vector of following combination: 45 m forwards, 70.5 m backwards, 34.5 m forwards, 30.0 m backwards.

a)

30 m backwards

b)

21 m backwards

c)

30 m forwards

17.

A car makes a turn, change its velocity from 13 m/s south to 18.7 m/s west. calculate the change in velocity of the car to three significant figures.

a)

22.8 m/s

b)

5.7 m/s

c)

31.7 m/s

18.

Bill hits a cricket ball so that it changes its velocity from 38.8 m/s east to 55.5 m/s north. Calculate the change in the velocity vector, to three significant figures.

a)

94.3 m/s

b)

67.7 m/s

c)

16.7 m/s

19.

Determine the change in velocity of a bird that changes from flying 3 m/s to the right to flying 3 m/s to the left

a)

6 m/s left

b)

0 m/s

c)

4.24 m/s

20.

Add the following vectors: 481 N north and 655 N east. Give answers to three significant figures.

a)

1136 N

b)

813 N

c)

174 N

21.

An object is placed in a spaceship and launched into space. as the object leaves the surface of the earth, it has a mass of 50 kg. What will be the object's mass if it lands on Pluto?

a)

50 N

b)

490 kg

c)

50 kg

22.

Determine the change in velocity of Clare's scooter as she turns a corner if she approaches it at 18.7 m/s west and exits at 16.6 m/s north.

a)

35.3 m/s

b)

25 m/s

c)

2.1 m/s

23.

Determine the direction of the change in velocity of Clare's scooter as she turns a corner if she approaches it at 18.7 m/s west and exist 16.6 m/s north

a)

41.60

b)

N 48.40 E

c)

E 48.40 N

24.

Determine the change in velocity of a plane as it changes from 255 m/s west to 160 m/s east

a)

255 m/s

b)

96 m/s east

c)

415 m/s east

d)

160 m/s

25.

Determine the change in velocity of a rocket as it changes from 212 m/s up to 2200 m/s up.

a)

2412 m/s up

b)

1988 m/s up

c)

212 m/s

d)

2200 m/s

26.

Describe of the following vector using an appropriate method

a)

right 70 up

b)

up 30 right

c)

700 clockwise from the upwards direction

27.
a)

50 clockwise from upwards

b)

right 400 down

c)

400 anticlockwise from upwards

28.

If left is negative (-), right taking positive (+). Describe the following vector using an appropriate convection.

a)

35 N

b)

-35 N

c)

35

d)

-35

29.

Describe the following vectors:

a)

E 600 S

b)

E 300 S

c)

E 400 S

d)

S 600 E

30.

Determine the direction of resultant vector that represents a child running 25 m west and 16 m north.

a)

W 57.40 N

b)

N 57.40 W

31.

which the following statements best describe the displacement and distance?

a)

displacement is vector; distance is scalar

b)

distance is alway large than displacement

c)

distance is curve; displacement is straight line

d)

if the distance is zero, then the displacement is o

32.

which quantities are all vectors?

a)

displacement, time ,speed

b)

displacement, mass and acceleration

c)

velocity, displacement, acceleration

d)

distance, time and velocity

33.

which following quantities not only belong to scalar but also SI unit?

a)

force, mass, speed

b)

force, time, acceleration

c)

length, mass, time

d)

length, velocity, time