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Which variable expression is paired with a corresponding unit?

A) Mass + distance / time and watt
B) Mass + distance² / time² and watt
C) Mass - distance² / time² and joule
D) Mass- distance/ time² and joule

User R Dragon
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Final answer:

Option C, which is Mass × distance2 / time2 and joule, is the correct pairing, as joule is the unit of work or energy that can be expressed as kg·m2/s2.

Step-by-step explanation:

The question is asking which variable expression is paired with a corresponding unit in the context of work and energy. Work and energy are measured with the same unit, the joule (J), which is the product of force multiplied by distance (1 J = 1 N·m). Force itself is the product of mass and acceleration (1 N = 1 kg·m/s2). Thus, joules can also be represented as kg·m2/s2.

The expression for work or energy in terms of mass (m), distance (s), and time (t) is mass multiplied by the square of distance divided by the square of time, or m·s2/t2. Therefore, the expression that fits this description is Mass × distance2 / time2 and joule (Option C).

User Markom
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