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
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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
(a)
when the force is halved, F₂ = 0.5F₁,
mass is doubled, m₂ = 2m₁
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
Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.
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