The speed of the man when he throws the coat is 1 m/s.
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Conversion of linear momentum</h3>
The speed of the man can be determined by applying the principle of conservation of linear momentum as follows;
m₁v₁ = m₂v₂
v₁ = (m₂v₂)/m₁
v₁ = (50 x 4)/200
v₁ = 1 m/s
Thus, the speed of the man when he throws the coat is 1 m/s.
Learn more about conservation of momentum here: brainly.com/question/7538238
Answer:
Gay-Lussac’s law, because as the pressure increases, the temperature increases
Explanation:
First of all, we can notice that the volume of the tank is fixed: this means that the volume of the air inside is also fixed.
This means that in this situation we can apply Gay-Lussac's law, which states that:
"for a gas kept at constant volume, the pressure of the gas is proportional to the absolute temperature of the gas".
Mathematically:

where p is the pressure in Pascal and T is the temperature in Kelvin.
In this case, the tank is filled with air: this means that the pressure of the gas inside the tank increases. And therefore, according to Gay-Lussac's law, the temperature will increase proportionally, and this explains why the tank gets hot.