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physics Advanced Subsidiary (AS) Level Physics.
 
Solved problems for the chapter:
 

Stress, Strain and Young Modulus

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Example 1.

A four-legged table weighs 60 kg. What pressure does each foot exert on the ground if the cross-sectional area of each foot is 2 cm x 2 cm?

    
Example 2.

A 20 kg ball placed on the ground exerts a pressure of 30 bar. With what cross-sectional area does it make contact with the ground?

    
3.

A wooden cube with the length of an edge of 40 cm acts on the floor with a pressure of 2400 Pa. What is the density of the cube?

    
4.

A weight of mass 2 kg is hung on a wire of diameter 2 mm. What is the tensile stress in the wire? What is the mass of the weight that can be hung on a wire of diameter 6 mm to keep it equally stressed?

    
5.

What force should be applied to a 0.2 mm thick gold thread so that it does not break? The tensile strength limit of gold is .

    
6.

A closed container contains 10 l of water. By how much does the volume of water decrease if the pressure in the tank is increased by 100 bar? Water compressibility is .

    
7.

A man weighing 80 kg is sitting on a three-legged chair weighing 5 kg. Each leg of the chair touches the floor with the surface area of . Calculate the pressure exerted by each leg.

    
8.

A ball is dropped from a height of 2 m onto the ground. After hitting the ground, it bounces 1.6 m high. How high will it go after the third and tenth bounce?

    

9.

The length of a spring is 10 cm when a load of 1 N is hung from it and the length increases to 14 cm when a load of 9 N is hung from it. Calculate the elastic constant of the spring.

    
10.

Two spring balances are attached to a ceiling in parallel. The spring constant of the first balance is 0.1 N / cm and the second is 0.5 N / cm. If a body of weight 2 N is hung on them over a light crossbar. What is the extension on both spring balances?

    
11.

A 40-cm long wire is extended by 2 mm with certain tensile stress. By how much would a 10 m long wire of the same material be extended by the same tensile stress?

    
12.

A 2 m long and 0.6 mm thick steel wire is loaded with a force of 30 N. If it is stretched by 1 mm, what is the Young modulus (or modulus of elasticity) of steel?

    
13.

A 2 m long copper wire is stretched by 3 mm. What is the applied tensile stress? The Young modulus of copper is .

    
14.

Two wires are suspended from the ceiling (see figure). The wire on the left is made of copper, its length is 2 m, its cross-sectional area is and a weight of 10 kg is hung on it. The wire on the right is made of aluminium, its length is 3 m, and its cross-sectional area is . What is the mass of the weight that we have to hang on the second wire so that its extension is the same as the first wire? The Young modulus of copper is and that of aluminium is .


    
15.

The elastic limit of a brass wire is at a strain of . By how much can a 2 m long brass wire be stretched so that it does not deform plastically?

    
16.

The maximum force that a rope can withstand for it not to break is 6 kN. How much mass can be hung on the rope if it can be loaded with a maximum of 40% of the maximum force.

    
17.

A spring balance is stretched by 2 cm when a force of 8 N is attached to it. The spring balance is attached to a table and a weight is hung freely on it at the edge of the table with a rope that passes over an attached pulley as shown in the figure below. What is the mass of the weight if the spring balance stretches by 6 cm?