Adding soap decreases the surface tension of water.

According to Hooke's law, elongation is inversely proportional to the spring constant; thus, if the spring constant is doubled, the elongation halves.

Using Hooke's law, k = F/x = 10 N / 0.05 m = 200 N/m.

The extension of the wire can be calculated using the formula: extension = (F * L) / (A * Y).

The elongation ΔL of a wire is given by ΔL = FL / (AE), where E is Young's modulus.

The elongation ΔL of a wire is given by ΔL = (F * L) / (A * Y), where Y is Young's modulus.

Surfactants lower the surface tension of water by disrupting the cohesive forces between water molecules.

The addition of salt to water can increase the surface tension due to the ionic interactions that enhance the cohesive forces among water molecules.

The addition of soap decreases the surface tension of water by disrupting the cohesive forces between water molecules.

Due to surface tension, a drop of liquid will take the shape of a sphere, as this shape has the minimum surface area for a given volume.

A viscosity of 0.5 Pa·s indicates that the fluid is relatively thick and flows less easily compared to fluids with lower viscosity.

A liquid droplet takes the shape of a sphere because this shape minimizes the surface area for a given volume, thus minimizing surface energy.

In a perfectly spherical droplet, the cohesive forces are balanced, resulting in a net force of zero.

A high surface tension indicates strong intermolecular forces, as these forces are responsible for the cohesive behavior of the liquid.

Work done = Surface Tension × Change in Area = 0.05 N/m × 1 m² = 0.05 J.

A linear stress-strain relationship indicates that the material behaves elastically within the limit of proportionality.

Plastic deformation means that the material does not return to its original shape after the load is removed.

A Poisson's ratio of 0.3 indicates that the material will contract laterally when stretched.

A Poisson's ratio of 0.3 means that the lateral strain is 0.3 times the axial strain.

A Poisson's ratio of 0.3 implies that the material contracts laterally when stretched.

A high Young's modulus indicates that the material is very elastic.

When a material is stretched beyond its elastic limit, it undergoes permanent deformation and does not return to its original shape.

The needle floats because the surface tension of water creates a force that counteracts the weight of the needle.

Adding more soap decreases the surface tension because soap molecules disrupt the cohesive forces between water molecules.

The elongation (ΔL) can be expressed as ΔL = F * L / (A * E).

Young's modulus is a material property and does not change with the dimensions of the wire.

According to Hooke's Law, if stress is doubled, strain also doubles for elastic materials.

Force = Surface Tension × Length = 0.072 N/m × 0.5 m = 0.036 N.

According to Gay-Lussac's Law, if the temperature of a gas increases at constant volume, the pressure increases.

The viscosity of a liquid generally decreases with an increase in temperature.