Hooke's law multiple choice questions – A-Level Physics (Edexcel International)

Hooke's Law

Total marks:0 / 10

1 of 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?

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2 of 10

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?

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3 of 10

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.

Force extension graph showing the elastic limit of a metal wire with suspended masses.

Where on the graph would the elastic limit be found?

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4 of 10

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?

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5 of 10

Three springs are arranged vertically as shown.

Diagram showing three vertically arranged springs P, Q, and R with spring constants k and 3k, and a force W applied.

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?

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6 of 10

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?

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7 of 10

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.

$W = \frac{1}{2} {k x}^{2}$

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 ?

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8 of 10

A number of identical springs are joined in four arrangements.

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

Diagram showing four different spring arrangements with loads to determine spring constant comparison.

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9 of 10

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?

Graph showing the relationship between force and extension for a spring.

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10 of 10

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

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Hooke's Law

Total marks:0 / 10

1 of 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?

0 / 1

2 of 10

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?

0 / 1

3 of 10

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?

0 / 1

4 of 10

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?

0 / 1

5 of 10

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?

0 / 1

6 of 10

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?

0 / 1

7 of 10

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.

$W = \frac{1}{2} {k x}^{2}$

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 ?

0 / 1

8 of 10

A number of identical springs are joined in four arrangements.

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

0 / 1

9 of 10

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?

0 / 1

10 of 10

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

0 / 1

Hooke's Law - exam practice

Hooke's Law

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Question 10 of 10

Hooke's Law - exam practice

Hooke's Law

Question 1 of 10

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Question 5 of 10

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Question 7 of 10

Question 8 of 10

Question 9 of 10

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