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ss7ja [257]
3 years ago
13

On a hot summer day, you turn the thermostat in your house way down. Assume that your house is well sealed and that no air enter

s or leaves the house. When the air temperature in your house falls a short while later, what statement is correct regarding the air pressure?
Physics
1 answer:
Debora [2.8K]3 years ago
4 0

Answer: The temperature in the house will equally drop

Explanation: Temperature -pressure relationship, since the relationship between temperature and pressure is directly proportional when the air temperature in the house fall short the air pressure also fall short, seeing also that the house is a controlled environment, since it is well sealed that no air enters and leaves

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(a)  If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)  if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

The force on an object is determined by applying Newton's second law of motion;

F = ma

\frac{F_1}{m_1a_1} = \frac{F_2}{m_2a_2}

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when the force is halved, F₂ = 0.5F₁,

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\frac{F_1}{m_1a_1} = \frac{0.5F_1}{2m_1a_2} \\\\2m_1a_2F_1 = 0.5F_1 m_1a_1\\\\2a_2 = 0.5a_1\\\\a_2 = \frac{0.5a_1}{2} = \frac{a_1}{2 \times 2} = \frac{a_1}{4} \\\\a_2 = \frac{1}{4} (a_1)

Thus, If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)

when the force is doubled, F₂ = 2F₁,

mass is halved, m₂ = 0.5m₁

\frac{F_1}{m_1 a_1} = \frac{2F_1}{0.5m_1 a_2} \\\\0.5m_1a_2 F_1 = 2F_1m_1a_1\\\\0.5a_2 = 2a_1\\\\a_2 = \frac{2a_1}{0.5} \\\\a_2 = 4(a_1)

Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

Learn more here:brainly.com/question/19887955

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