Two persons pull a rope towards themselves. Each person exerts a force of 100 N on the rope. Find the Young modulus of the material of the rope if it extends in length by 1 cm. Original length of the rope = 2 m and the area of cross section = 2 cm².

The elastic limit of steel is 8 × 10⁸ N m^-2 and its Young modulus 2 × 10¹¹ N m^-2. Find the maximum elongation of a half-meter steel wire that can be given without exceeding the elastic limit.

Estimate the change in the density of water in ocean at a depth of 400 m below the surface. The density of water at the surface 1030 kg m^-3 and the bulk modulus of water = 2 × 10⁹ N m^-2.

Find the increase in pressure required to decrease the volume of a water sample by 0.01%. Bulk modulus of water = 2.1 × 10⁹ N m^-2.

A sphere of mass 20 kg is suspended by a metal wire of u stretched length 4 m and diameter 1 mm. When in equilibrium, there is a clear gap of 2 mm between the sphere and the floor. The sphere is gently pushed abide so that the wire makes an angle θ with the vertical and is released. Find the maximum value of θ so that the sphere does not rub the floor. Young modulus of the metal of the wire is 2.0 × 10¹¹ N m^-2. Make appropriate approximations.

A steel wire of original length 1 m and cross-sectional area 4.00 mm² is clomped at the two ends so that it lies horizontally and without tension. If n load of 2.16 kg is upending from (he middle point of the wire, what would be its vertical depression? Y of the steel = 2.0 × 10¹¹ N m^-2. Take
g 10 m s^-2.

Consider the situation shown in figure (14-E3). The force F is equal to the m₂ g/2, If the area of cross section of the string is A and its Young Modulus Y, find the strain developed in it. The string is light and there is no friction anywhere.

A steel rod of cross-sectional area 4 cm² and length 2 m in shrinks by 0.1 cm as the temperature decreases in night. If the rod is clamped at both ends during the day hours, find the tension developed in it during night hours. Young modulus of steel = 1.9 × 10¹¹ N m^-2.

Two persons pull a rope towards themselves. Each person exerts a force of 100 N on the rope. Find the Young modulus of the material of the rope if it extends in length by 1 cm. Original length of the rope = 2 m and the area of cross section = 2 cm².

A load of 10 kg is suspended by a metal wire 3 m long and having a cross-sectional area 4 mm². Find (a) the stress (b) the strain and (c) the elongation. Young modulus of the metal is 2.0 × 10¹¹ N m^-2.

The rise of a liquid in a capillary tube depends on