Question 1

What is represented by the gradient of a graph of force (vertical axis) against extension(horizontal axis)?

  A  

elastic limit

  B  

spring constant

  C  

stress


  D  

young modulus

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Question 2

The graph shows how force depends on extension for a certain spring.

What is the energy stored in the spring when the extension is 30 mm?

  A  

0.095 J

  B  

0.19 J

  C  

0.25 J

  D  

0.95 J


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Question 3

A number of identical springs are joined in four arrangements.

Which arrangement has the same spring constant as a single spring?

  A  
  B  
  C  
  D  

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Question 4

The strain energy W of a spring is determined from its spring constant k and extension x. The spring obeys Hooke’s law and the value of W is calculated using the equation shown.

W = 21​ k x2

The spring constant is 100 ± 2 N m–1 and the extension is 0.050 ± 0.002m.

What is the percentage uncertainty in the calculated value of W ?

  A  

6%

  B  

10%

  C  

16%

  D  

32%

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Question 5

A steel spring has a spring constant of 150 Nm–1. When a 25 N weight is hung from the spring, it has a stretched length of 55 cm.

What was the original length of the spring?

  A  

0.38 m 

  B  

0.49 m

  C  

0.61 m

  D  

0.72 m

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Question 6

Three springs are arranged vertically as shown.

Springs P and Q are identical and have spring constant k. Spring R has spring constant 3k.

What is the increase in the overall length of the arrangement when a force W is applied as shown?

65​kW​
34​kW​
27​k W
4 k W

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Question 7

When describing the behaviour of a spring, the spring constant is used.

Different loads are used to extend the spring by different amounts.

To find the spring constant, which quantities are required?

  A  

the elastic limit and the loads

  B  

the elastic limit, extensions and the length of the spring

  C  

the loads and the extensions of the spring

  D  

the loads and the length of the spring

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Question 8

A long, thin metal wire is suspended from a fixed support and hangs vertically. Masses are suspended from its lower end.

The load on the lower end is increased from zero and then decreased again back to zero.

The diagram shows the force-extension graph produced.

Where on the graph would the elastic limit be found?

  A  

anywhere between point R and point S

  B  

beyond point S but before point T

  C  

exactly at point S

  D  

exactly at point T

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Question 9

The Mariana Trench in the Pacific Ocean has a depth of about 10 km.

Assuming that sea water is incompressible and has a density of about 1,020 kg m–3 , what would be the approximate pressure at that depth?

  A  

105 Pa

  B  

106 Pa

  C  

107 Pa

  D  

108 Pa

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Question 10

A hammer with 10 J of kinetic energy hits a nail and pushes it 5.0 mm into a plank.

Both the hammer and nail come to rest after the collision.

What is the approximate average force that acts on the nail while it moves through 5.0 mm?

  A  

0.050 N

  B  

2.0 N 

  C  

50 N 

  D  

2,000 N

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