A30 kg girl and a 25 kg boy face each other on friction-free roller skates. the girl pushes the boy, who moves away at a speed of 1.0 m/s. what is the girl's speed?

4m/s

Explanation:

Mass of girl = m1 = 30kg

Mass of boy = m2 = 25kg

Resultant speed after collision = 1.0m/s

Speed of girl = v1

Speed of boy = v2

Momentum = mass × velocity

m1v1 - m2v2 = mv

30v1 - 25v2 = 1×m

30v1 - 25v2 = m

v1 = (m + 25v2)/30 ...eqn 1

but m1 - m2 = m

m = 30 - 25 = 5kg

v1 = (5 + 25v2)/30 ...eqn 2

v1-v2 = 1m/s

v2 = (v1 - 1)m/s

Substitute for v2 in eqn 2

v1 = [5 + 25(v1 - 1)]/30

30v1 = 5 + 25v1 - 25

30v1 - 25v1 = -20

5v1 = -20

v1 = -4m/s

Because she moved in an opposite direction to the boy, the negative sign is featured on her speed

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.