Question 1

A bob of mass 0.50 kg is suspended from the end of a piece of string 0.45 m long. 

The bob is rotated in a vertical circle at a constant rate of 120 revolutions per minute.

What is the tension in the string when the bob is at the bottom of the circle?

  A  

5.8 N

  B  

31 N

  C  

36 N

  D  

40 N

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Question 2

A string passes through a smooth thin tube. Masses m and M are attached to the ends of the string. The tube is moved so that the mass m travels in a horizontalcircle of constant radius r and at constant speed v.

Which of the following expressions is equal to M ?

2 rm v2
m v2 r g
r gm v2
rm v2 g

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Question 3

What is the angular speed of a satellite in a geostationary orbit around the Earth?

  A  

1.2 × 10–5 rad s–1

  B  

7.3 × 10–5 rad s–1

  C  

4.2 × 10–3 rad s–1

  D  

2.6 × 10–1 rad s–1

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Question 4

Satellites N and F have the same mass and are in circular orbits about the same planet. 

The orbital radius of F is greater than that of N.

Which is greater for F than for N?

  A  

gravitational force on the satellite

  B  

angular speed

  C  

kinetic energy

  D  

orbital period

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Question 5

An object of mass m moves in a circle of radius r. It completes n revolutions every second.

What is the kinetic energy of the object?

8 π2m n2 r2
4 π2m n2 r2
2 m π2 n2 r2
4 m π2 n2 r2

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Question 6


A particle travels in a straight line with speed v.

The particle slows down and changes direction. The new speed of the particle is v2\frac{v}{2} .

The new velocity has a component of v4\frac{v}{4} in the same direction as the initial path of the particle.

Through which angle has the particle turned?

  A  

27°

  B  

30°

  C  

45°

  D  

60°

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Question 7

The diagram shows two points P and Q which lie 90° apart on a circle of radius r.

A positive point charge at the centre of the circle creates an electric field of magnitude E at both P

and Q.

Which expression gives the work done in moving a unit positive charge from P to Q?

0
E x r
E x 2π r
E x (π r)

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