Effects of Forces (Cambridge (CIE) IGCSE Physics): Exam Questions

Exam code: 0625 & 0972

3 hours43 questions
1a2 marks

The class is investigating the behaviour of a spring, and then using the spring to determine the weight of an object.

The apparatus is shown in Fig. 3.1.

p1-3a

The stretched length l of the spring, indicated in Fig. 3.1, is to be measured.

  Describe two precautions that could be taken when measuring the length of the stationary spring, to ensure an accurate reading. You may draw a diagram.

1b1 mark

A student measures the length l subscript 0 of the spring without any load.

l subscript 0 = 2.1 cm

Various loads L are hung on the spring. The stretched length l of the spring for each load is recorded in Table 3.1.

Table 3.1

L/N

l/cm

e/cm

1.0

6.3

 

2.0

10.5

 

3.0

14.7

 

Calculate, and record in Table 3.1, the extension e of the spring for each load L. Use the equation e space equals space open parentheses l minus l subscript 0 close parentheses

1c1 mark

The loads are removed and an object X is suspended from the spring.

 

p1-3c

The unstretched length l subscript x of the spring on Fig 3.2 is 11.4 cm

Estimate the weight WX of object X.

Explain how you obtained your answer.

 

 WX = ........................................................... N 

1d1 mark

A student measures the weight of a different load using a similar method. He gives the weight as 4.532 N.

Explain why this is not a suitable number of significant figures for this experiment.

1e4 marks

(i) Another student suggests that e is directly proportional to L.

  State whether the results support her suggestion.

  Use values from the results in Table 3.1 to justify your statement.

[2]

 

(ii) The student wishes to plot a graph of L against e to test if the two quantities are directly proportional.

State how her graph line could show that e is directly proportional to L.

[2]

2a1 mark

A student is determining the spring constant k of a spring by two methods.

Fig. 1.2 shows how the apparatus is used.

 Method 1   

On Fig. 1.1, measure the unstretched length l subscript 0 of the spring, in mm.

screenshot-2022-11-08-at-09-54-01

l subscript 0 = ................................................. mm 

2b2 marks

Extended tier only

The student attaches the spring to the clamp as shown in Fig. 1.2.

He hangs a 300 g mass on the spring.

screenshot-2022-11-08-at-09-57-59

He measures the new length l of the spring.

l = 53 mm

(i) Calculate the extension e of the spring using the equation e space equals space l space minus space l subscript 0.

e = ................................................. mm [1]

   

(ii) Calculate a value for the spring constant k using the following equation:

 k space equals space F over e ,

where F = 3.0 N.

k = ............................................ N/mm [1]

2c4 marks

Method 2

The student pulls the mass down a short distance and releases it so that it oscillates up and down. Fig. 1.3 shows the time t taken for 10 complete oscillations.

screenshot-2022-11-08-at-10-10-55

(i) Record the time t taken for 10 complete oscillations.

 

t = ........................................................ [1]

 

(ii)

1.   Calculate the time T taken for one complete oscillation.

   

T = .............................................................

   

2.   Calculate T 2.

     

T 2 = .............................................................

[2]

   

(iii)

Calculate the spring constant k using the following equation:

k space equals space fraction numerator 0.040 m over denominator T to the power of space 2 end exponent end fraction,

where m = 0.300kg.

   

k = ............................................ N/mm [1]

2d2 marks

State and explain whether your two values for k are the same within the limits of experimental accuracy.

2e2 marks

A student states that repeating Method 1 with different masses would improve the reliability of the value obtained for k.

Suggest additional values for the mass m that you would use when repeating the experiment to improve the reliability.

37 marks

A student wants to investigate the effect of air resistance on the swing of a pendulum.

Plan an experiment which will enable him to investigate how air resistance changes the way in which a pendulum swings.

The apparatus available includes:

a light wooden rod, approximately 80cm long with a hole at one end, through which a nail will fit

a piece of modelling clay to act as a pendulum bob, as shown in Fig. 4.1

a sheet of thick card which will provide the air resistance when the pendulum swings.

In your plan, you should:

  • list any additional apparatus needed

  • explain briefly how you would carry out the experiment including exactly which measurements should be taken

  • state the key variables that you would control

  • draw a table, or tables, with column headings, to show how you would display your readings (you are not required to enter any readings in the table)

  • explain how you would use your readings to reach a conclusion.

You may add to Fig. 4.1 or draw an additional diagram if it helps to explain your plan.

p4-4
4a4 marks

A student investigates the stretching of a spring. 

The apparatus is shown in Fig. 1.1.

Diagram of a spring attached to a clamp stand beside a metre rule on a bench, with close-up showing measurements from 21 to 23 on the rule.

(i)  On Fig. 1.1, take two readings from the metre rule to determine the unstretched length l subscript 0 of the coiled part of the spring. 

reading 1 .......................................................... cm 

reading 2 ......................................................... cm 

l subscript 0= .......................................................... cm  [3] 

(ii) Draw a diagram to show clearly how you would use a set square to obtain an accurate reading from the metre rule.

[1]

4b2 marks

Extended Tier Only

 The student suspends a load of P space equals space 1.0 space straight N from the spring.

He records the new length l subscript 1 of the coiled part of the spring.                            

l subscript 1 = .................2.2......................................... cm

Calculate the extension e1 using the equation e subscript 1 space equals space open parentheses l subscript 1 space minus space l subscript 0 close parentheses

e subscript 1 = .......................................................... cm

Calculate a value for the spring constant k of the spring using the equation

k space equals fraction numerator space P over denominator e subscript 1 end fraction

Include the unit.

 k = ...............................................................


4c2 marks

Extended Tier Only

The student suspends a load of P space equals space 5.0 space straight N from the spring. 

He records the new length l subscript 5 of the coiled part of the spring. 

l subscript 5 = ......................6.3.................................... cm 

Calculate the extension e subscript 5 using the equation e subscript 5 space equals space open parentheses l subscript 5 space minus space l subscript 0 close parentheses

e subscript 5 = .......................................................... cm

Calculate a second value for the spring constant k of the spring using the equation

k space equals fraction numerator space P over denominator e subscript 5 end fraction

Give your answer to two significant figures. 

k = ...............................................................

4d
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1 mark

State whether your two values of the spring constant k can be considered equal within the limits of experimental accuracy. 

Explain your answer by referring to your results. 

4e2 marks

A student improves the experiment by taking additional sets of readings. 

(i) Suggest the additional apparatus that the student uses

[1]

(ii) Suggest how the student uses the additional results.

[1]

57 marks

 A student investigates the force required to break different beams made from a mixture of sand and cement. All the beams have the same cross‑section. 

Plan an experiment to investigate the force required to break the beams. 

Fig. 4.1 shows the set‑up.

Diagram of a beam balanced on triangular blocks with a load on top, labelled with "load," "beam," "triangular blocks," and "bench."

The following apparatus is available: 

  • a selection of beams made from different ratios of sand and cement and of various lengths 

  • triangular blocks to support the beams 

  • a metre rule 

  • a selection of loads. 

You can also use other apparatus and materials that are usually available in a school laboratory. 

The student takes all the necessary safety precautions. You are not required to write about safety precautions. 

In your plan, you should: 

  • explain briefly how to carry out the investigation (you may add to the diagram if it helps your explanation) 

  • state the key variables to keep constant 

  • draw a table, or tables, with column headings, to show how to display your readings (you are not required to enter any readings in the table) 

  • explain how you would use the readings to reach a conclusion.