A spring is hung from the ceiling. When a 0.450 kg block is attached to the free end of the spring and released from rest, the block drops 5.0 cm before momentarily coming to rest, after which it moves back upward. What is the spring constant of the spring?

answer

88.2  N/m

set up equation

when the block drops to 5.0 cm, the weight of block and the spring force on the block are equal because there is no acceleration on the block (at rest)

so mg = Fs

due to Hooke's law, Fs = kx

where k is the spring constant and x is the displacement

mg = Fs = kx

mg = kx

values

convert given values to standard units

m = 0.450 kg

g = 9.8 m/s^2

x = 5.0 cm = 0.05 m

plug in values and solve

mg = kx

0.45 * 9.8 = 0.05x

x = 0.45 * 9.8 / 0.05

x = 88.2  N/m

freezing

deposition

condensation

explanation;

melting also called fusion is the process where solid becomes liquid, sublimation is the process where solid becomes gaseous without first changing to liquid, deposition involves change from gaseous to solid state, freezing involves change from liquid to solid, boiling or evaporation involves change of liquid to gaseous state, while condensation is the change from gaseous state to liquid state.

endothermic reactions involves absorption of heat from the surroundings or the environment while exothermic reactions involves loss of heat energy to the surroundings.

in this case, sublimation, evaporation and melting are endothermic reactions (gain energy from the environment) while, freezing, deposition and condensation are exothermic (loss of energy to the surroundings) reactions.

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