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Hooke's Law

The document presents a physics problem involving four students measuring the lengths of their springs under different loads, requiring analysis of their results. It includes questions about identifying the limit of proportionality, calculating extra extension and unloaded length, and applying Hooke's law. Additionally, it asks for graphical interpretations and calculations related to spring behavior under varying forces.

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Leon Mzarabani
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53 views2 pages

Hooke's Law

The document presents a physics problem involving four students measuring the lengths of their springs under different loads, requiring analysis of their results. It includes questions about identifying the limit of proportionality, calculating extra extension and unloaded length, and applying Hooke's law. Additionally, it asks for graphical interpretations and calculations related to spring behavior under varying forces.

Uploaded by

Leon Mzarabani
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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1. Four students, A, B, C and D, each have a spring.

They measure the lengths of their springs


when the springs are stretched by different loads.
Their results are shown in Fig. 2.1.

Fig. 2.1
(a) (i) State which student had loaded the spring beyond the limit of proportionality.
............................................................................................................................ [1]
(ii) Explain how you obtained your answer to (a)
(i) ............................................................................................................................ [2]
(b) For the spring used by student A, calculate
(i) the extra extension caused by each additional 0.5 N,

extra extension = .................................. [1]


(ii) the unloaded length of the spring.

unloaded length = .........]....................... [1]


(c) Student A obtains a second spring that is identical to his first spring. He hangs the two
springs side by side, as shown in Fig. 2.2.

Fig. 2.2
Use the table to calculate the length of each of the springs when a load of 2.5 N is hung as
shown in Fig. 2.2. Show your working.

length = ................................................. [2]


[Total: 7]
2(a) State Hooke’s law.
................................................................................................................................... [1]
(b) Fig. 1.1 shows a graph of the stretching force F acting on a spring against the extension

Fig. 1.1
(i) State the features of the graph that show that the spring obeys Hooke’s law.
..................................................................................................................................
............................................................................................................................. [1]
(ii) Calculate k, the force per unit extension of the spring.

k = ...................................................[3]
(iii) The limit of proportionality of the spring is reached at an extension of 50 mm.
Continue the graph in Fig. 1.1 to suggest how the spring behaves when the
stretching force is increased to values above 125 N. [1]
(iv) Another spring has a smaller value of k. This spring obeys Hooke’s law for
extensions up to 80 mm.
On the grid of Fig. 1.1, draw a possible line of the variation of F with x for this
spring. [1]
[Total: 7]

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