OCR A Level Physics

Topic Questions

A LevelPhysicsOCRTopic Questions2. Foundations of Physics2.3 Scalars & Vectors

2.3 Scalars & Vectors

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11 mark

Which set of quantities are all scalar?

  • acceleration, displacement, velocity

  • energy, mass, power

  • extension, force, gravitational potential energy

  • weight, kinetic energy, work done

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21 mark

A wooden block is stationary on a ramp.

q8-paper-1-nov-2020-ocr-a-level-physics

The diagram is not drawn to scale.

The block has weight W. The normal contact force on the block is N. The frictional force F on the block is not shown on the diagram.

Which triangle of forces diagram is correct?

q8-2-paper-1-nov-2020-ocr-a-level-physics

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1
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The diagram below represents the x and y components of four forces acting on an object at point A. The forces are FFr (frictional force), Fg (force due to gravity), and the force due to two ropes pulling on the object, F1 and F2.

2-3-mcq-h-q1-ocr-al-physics

What is the magnitude and direction of the resultant force on the object?

  • 5.1 N,  24.5° below the horizontal anticlockwise

  • 5.1 N,  11.3° above the horizontal anticlockwise

  • 6.0 N,  11.3° above the horizontal anticlockwise

  • 6.0 N,  24.5° below the horizontal clockwise

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2
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A bead of mass 150 g is threaded onto a horizontal wire.
The bead is initially at rest and exerted upon by a force of 15 N at an angle of 45° anticlockwise above the horizontal wire for 3 seconds.
The bead experiences a constant frictional force of 10 N as it moves along the wire.

What distances does the bead travel along the wire in the 3 seconds to 2 significant figures?

  • 18 m

  • 33 m

  • 40 m

  • 150 m

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3
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A box of mass m sits at a distance L on a ramp inclined at an angle θ to the horizontal. A normal force and a frictional force proportional to the normal force with a constant of proportionality, μ, act on the box.

2-3-mcq-h-q3-ocr-al-physics

Which of the following expressions represents the time it takes the box to slide halfway down the ramp?

  • t subscript L over 2 end subscript equals square root of fraction numerator L over denominator 2 g open parentheses mu space s i n space open parentheses theta close parentheses minus space c o s space open parentheses theta close parentheses space close parentheses end fraction end root

  • t subscript L over 2 end subscript equals square root of fraction numerator L over denominator g open parentheses s i n space open parentheses theta close parentheses minus mu space c o s space open parentheses theta close parentheses space close parentheses end fraction end root

  • t subscript L over 2 end subscript equals square root of fraction numerator L over denominator g open parentheses s i n space open parentheses theta close parentheses plus mu space c o s space open parentheses theta close parentheses space close parentheses end fraction end root

  • t subscript L over 2 end subscript equals square root of fraction numerator L over denominator g open parentheses c o s space open parentheses theta close parentheses minus mu space s i n space open parentheses theta close parentheses space close parentheses end fraction end root

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4
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The diagram shows a ball of mass m hung by two ropes of equal length pinned at one end to a wall and pulled on by a string which exerts a constant force P on the ball in the horizontal direction. The ball is pulled down by its weight until it is in equilibrium. The angles made by each rope to the vertical θ are both equal to each other.

2-3-mcq-h-q5-ocr-al-physics

What is the expression for the ratio of the tension in the left rope T1 to the tension in the right rope T2?

  • fraction numerator open parentheses 1 minus fraction numerator P over denominator m g space tan open parentheses theta close parentheses end fraction close parentheses over denominator open parentheses fraction numerator P over denominator m g space tan open parentheses theta close parentheses end fraction minus 1 close parentheses end fraction

  • fraction numerator open parentheses 1 minus fraction numerator P space tan open parentheses theta close parentheses over denominator m g end fraction close parentheses over denominator open parentheses fraction numerator P space tan open parentheses theta close parentheses over denominator m g end fraction minus 1 close parentheses end fraction

  • fraction numerator open parentheses 1 plus fraction numerator P over denominator m g space tan open parentheses theta close parentheses end fraction close parentheses over denominator open parentheses 1 minus fraction numerator P over denominator m g space tan open parentheses theta close parentheses end fraction close parentheses end fraction

  • fraction numerator open parentheses 1 minus fraction numerator P space tan open parentheses theta close parentheses over denominator m g end fraction close parentheses over denominator open parentheses 1 plus fraction numerator P space tan open parentheses theta close parentheses over denominator m g end fraction close parentheses end fraction

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1
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An object is falling.

The weight of the object is 4.5 N.

The wind provides a horizontal force of magnitude F on the object.

The resultant force on the object is 5.8 N.

Air resistance and upthrust on the object are negligible.

What is the value of F?

  • 1.3 N

  • 3.7 N

  • 7.3 N

  • 13 N

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2
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An object of weight W is suspended from two identical cables.

The tension in each cable is 2.0 N. Each cable makes an angle of 35° to the vertical.
q8-paper-1-nov-2021-ocr-a-level-physics

What is the weight W of the object?

  • 1.6 N

  • 2.3 N

  • 2.8 N

  • 3.3 N

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3
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A block of weight 8.5 N sits on a slope angled at 15o to the horizontal as shown.

2-3-mcq-m-q1-ocr-al-physics

Which row of the table gives the correct components of weight parallel and perpendicular to the slope?

 

Component of weight parallel to slope / N

Component of weight perpendicular to slope / N

A

2.2

8.2

B

2.5

8.1

C

2.8

8.0

D

3.1

7.9

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4
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A kayaker wishes to travel due east across a river. They can paddle at a speed of 1.3 ms-1 in still water. There is a current of 0.95 ms-1 flowing due south in the river.

In which direction should the kayaker paddle in order to travel due east?

  • 47o south of east

  • 36o south of east 

  • 36o north of east

  • 47o north of east

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5
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A particle is acted upon by two coplanar forces of magnitude 1.0 N and X N. The directions of the forces are not known. The resultant force on the particle is 3.0 N.

What can be determined about the value of X?

  • X = 2.0 

  • X = 4.0

  • 2.0 ≤ X ≤ 4.0

  • 3.0 ≤ X ≤ 4.0

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