Question

multiple select question
select all that apply
an objects weight is
□ the ratio of its mass and its free - fall acceleration.
□ the product of its mass and its free - fall acceleration.
□ the ratio of its mass and the strength of the gravitational field in which it is situated.
□ the product of its mass and the strength of the gravitational field in which it is situated.
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Explanation:

Step1: Recall the formula for weight

The formula for weight \(W\) is \(W = mg\), where \(m\) is mass and \(g\) is the free - fall acceleration (also equal to the strength of the gravitational field in which the object is situated).

Step2: Analyze each option

• Option 1: The formula \(W = mg\) shows that weight is the product of mass \(m\) and free - fall acceleration \(g\) (strength of the gravitational field). So, "the product of its mass and the strength of the gravitational field in which it is situated" is correct.
• Option 2: If we consider \(g=\frac{W}{m}\), it is the ratio of weight to mass, not the ratio of mass to the strength of the gravitational field. So, "the ratio of its mass and the strength of the gravitational field in which it is situated" is incorrect.
• Option 3: Since \(W = mg\), weight is a product, not a ratio of mass and free - fall acceleration. So, "the ratio of its mass and its free - fall acceleration" is incorrect.
• Option 4: As \(W = mg\), weight is the product of mass and free - fall acceleration. So, "the product of its mass and its free - fall acceleration" is correct.

Answer:

the product of its mass and the strength of the gravitational field in which it is situated, the product of its mass and its free - fall acceleration