The volume of a gas will increase by ten times if the temperature is increased by ten times.
<h3>Relationship between the volume of a gas and temperature</h3>
The relationship between the volume of a gas and its temperature is explained in Charles' law of gases which states that:
- The volume of a fixed mass of gas is directly proportional to its temperature provided the pressure of the gas is kept constant.
This means that if the temperature of a gas is increased by any given factor, the volume increases by the same factor proportionally.
Therefore, if the volume of a gas will increase by ten times if the temperature is increased by ten times.
Learn more about gas volume and temperature at: brainly.com/question/18706379
Answer:
K.E = 30,000 J
Explanation:
Given,
The potential energy of the roller coaster car, P.E = 40000 J
The kinetic energy at height h/4, K.E = ?
According to the law of conservation of energy, the total energy of the system is conserved.
At height 'h', the total energy is,
P.E = mgh
K.E = 0
At height 'h/4', the total energy is
P.E + K.E = mgh
P.E = mgh/4
K.E = 1/2 mv²
Therefore,
mgh/4 + 1/2 mv² = mgh
gh/4 + v²/2 = gh
Hence,
v² = 3gh/2
Substituting in the K.E equation
K.E = 1/2 mv²
= 1/2 m (3gh/2)
= 3/4 mgh
= 3/4 x 40000
= 30000 J
Hence, the K.E of the roller coaster car is, K.E = 30000 J
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