A5 kg brick is dropped from a height of 12m on a spring with a spring constant 8 kn/m. if the spring has unstretched length of 0.5m, find: a) the shortest length the spring will be compressed before recoil, and
b) the final length of the spring once the whole system become static.

0.1164 m

0.49387 m

Explanation:

m = Mass = 5 kg

g = Acceleration due to gravity = 9.81 m/s²

h = Height from which brick falls = 12 m

k = Spring constant = 8 kN/m

a) Potential energy of the brick

Potential energy in spring

The compression of spring = 0.5-0.3836 = 0.1164 m

b) Weight of the brick

The final length of the spring = 0.5-0.00613 = 0.49387 m

Explanation:

When pressure is applied on a substance and then reduction in size of the substance is known as compressibility.

Flammability is defined as the ability of a substance to readily catch fire.

A substance that causes harm or damage to an organism is known as toxic substance.

When one mole of a substance is heated then the energy released is known as heat of combustion.

Therefore, given definitions are matched with the definition as follows.

Compressibility - C) Measure of how much the volume of matter can decrease under pressure. Flammability - D) How easily a substance can be set on fire.Heat of combustion - A) Measure of how much heat is given off when a substance is burned. Toxicity - B) The ability of a substance to damage or harm an organism.