What are the dimensions of force?

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SUMMARY

The dimensions of force are defined as mass multiplied by length divided by time squared, represented as (b) mass x length x (time)-2. Options (a) kg.m.s-2 and (c) Newtons are units of force, while (d) mass x acceleration refers to the relationship of force but does not represent its dimensions. The consensus among participants confirms that option (b) is the correct representation of force dimensions.

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alingy1
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I'm doing practice problems:
I am confronted to this:
The dimensions of force are (x means “multiplied by”):
(a) kg.m.s-2,
(b) mass x length x (time)-2,
(c) Newtons,
(d) mass x acceleration.

I need someone to back up my reasoning.

It says dimensions, so I'm going towards (b) because (a) and (c) are units and, as for (d), acceleration is not a dimension.
 
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alingy1 said:
I'm doing practice problems:
I am confronted to this:
The dimensions of force are (x means “multiplied by”):
(a) kg.m.s-2,
(b) mass x length x (time)-2,
(c) Newtons,
(d) mass x acceleration.

I need someone to back up my reasoning.

It says dimensions, so I'm going towards (b) because (a) and (c) are units and, as for (d), acceleration is not a dimension.
That would be my answer too, for the same reasons you mentioned.
 

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