Mass of body 'A' is equal to mass of body 'B'. If the density of body 'A' is greater than the density of body 'B', which is easier to lift through air?
Question
Mass of body 'A' is equal to mass of body 'B'. If the density of body 'A' is greater than the density of body 'B', which is easier to lift through air?
Solution
The body that is easier to lift through air would be body 'B'. Here's why:
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The mass of both bodies 'A' and 'B' is the same. This means they both have the same amount of matter.
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However, the density of body 'A' is greater than the density of body 'B'. Density is defined as mass per unit volume. This means that for the same mass, body 'A' has a smaller volume than body 'B'.
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When lifting an object through air, we have to overcome the force of gravity acting on the object. This force is determined by the mass of the object, which is the same for both bodies.
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However, we also have to consider the buoyant force, which is the force that air exerts to oppose the weight of the object. The buoyant force is determined by the volume of the object, with larger volumes experiencing a greater buoyant force.
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Since body 'B' has a larger volume than body 'A' (because it has a lower density), it experiences a greater buoyant force.
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Therefore, body 'B' is easier to lift through air because the greater buoyant force it experiences helps to offset the force of gravity.
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