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A-Level CAIE Physics AS1.4 Scalars and vectorsQuestion Bank

1.4 Scalars and vectors

Question 1

Question 1(c)

(a)

An object B is on a horizontal surface. Two forces act on B in this horizontal plane. A vector diagram for these forces is shown to scale in Fig. 1.1.

Fig. 1.1

Fig. 1.1

A force of 7.5 N towards north and a force of 2.5 N from 30∘30^{\circ} north of east act on B. The mass of B is 750 g .

[ 3 ]

Question 1(c)(i)

(i)

On Fig. 1.1, draw an arrow to show the approximate direction of the resultant of these two forces.

[ 1 ]

Question 1(c)(iii)

(ii)

Determine the angle between the direction of the acceleration and the direction of the 7.5 N force.
angle =

[ 2 ]

Question 1

[Maximum number: 1]

The diagram shows a displacement vector.

Question image

What is the vertical component of this displacement vector?

A

3.0 km

B

4.0 km

C

5.0 km

D

6.6 km

Question 1

[Maximum number: 1]

Which pair includes a vector quantity and a scalar quantity?

A

displacement; acceleration

B

force; kinetic energy

C

power; speed

D

work; potential energy

Question 1

[Maximum number: 1]

Which pair of quantities contains one vector and one scalar quantity?

A

displacement; force

B

kinetic energy; power

C

acceleration; momentum

D

velocity; distance

Question 1

[Maximum number: 1]

A force of 5.0 N pushes a ball due north and another force of 3.0 N pushes it due east.

Question image

What is the magnitude of the net force acting on the ball?

A

2.8 N2.8 \mathrm{~N}

B

4.0 N4.0 \mathrm{~N}

C

5.8 N5.8 \mathrm{~N}

D

8.0 N8.0 \mathrm{~N}

Question 1

Question 1(a)

(a)

Table 1.1 lists some physical quantities. Complete the table by placing a tick ( ✓\checkmark ) next to the scalar quantities.

Table 1.1

Table 1.1

[ 1 ]

Question 1

Question 1(a)

(a)

Compare scalar and vector quantities.

[ 2 ]

Question 1

Question 1(a)

(a)

The boxes in Fig. 1.1 contain terms on the left-hand side and examples of these terms on the right-hand side.

Draw a line between each term on the left and the correct example on the right.

Fig. 1.1

Fig. 1.1

[ 2 ]

Question 1

Question 1(d)

(a)

Underline all the scalar quantities in the list below.

Table
[ 1 ]

Question 1(e)

(b)

A boat travels across a river in which the water is moving at a speed of 1.8 ms−11.8 \mathrm{~ms}^{-1}. The velocity vectors for the boat and the river water are shown to scale in Fig. 1.1.

Fig. 1.1 (shown to scale)

Fig. 1.1 (shown to scale)

In still water the speed of the boat is 3.0 ms−13.0 \mathrm{~ms}^{-1}. The boat is directed at an angle of 60∘60^{\circ} to the river bank.

[ 4 ]

Question 1(e)(i)

(i)

On Fig. 1.1, draw a vector triangle or a scale diagram to show the resultant velocity of the boat.

[ 2 ]

Question 1(e)(ii)

(ii)

Determine the magnitude of the resultant velocity of the boat.
resultant velocity = ms−1\mathrm{ms}^{-1}

[ 2 ]

Question 1

[Maximum number: 5]

stage 1,
2. stage 2.

Question 1(a)

(a)

Distinguish between scalars and vectors.

[ 1 ]

Question 1(b)

(b)

Underline all the vector quantities in the list below.
acceleration kinetic energy momentum power weight

[ 2 ]

Question 1(c)

(c)

A force of 7.5 N acts at 40∘40^{\circ} to the horizontal, as shown in Fig. 1.1.

Fig. 1.1

Fig. 1.1

Calculate the component of the force that acts

[ 2 ]

Question 1(c)(i)

(i)

horizontally,
horizontal component =………………………………………...N[1]=\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . . \mathrm{N}[1]

[ 1 ]

Question 1(c)(ii)

(ii)

vertically.

vertical component = N

[ 1 ]
0 selected