Examine the scenarios. Scenario W: A force of 75 N moves a box 15 m.
Scenario X: A force of 100 N moves a box 12 m.
Scenario Y: A force of 50 N moves a box 20 m.
Scenario Z: A force of 25 N moves a box 45 m.

In which scenarios is the same amount of work done on the box?

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(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)