A student uses a spring scale to exert a horizontal force on a block, pulling the block over a smooth floor. The student repeats the procedure several times, each time pulling the block from rest through a distance of 1.0 m. For which of the following graphs of force as a function of distance will the block be moving the fastest at the end of the 1.0m?

I know this (pic attached) is the answer, but I don’t understand why…pls help me out thank you!

A student uses a spring scale to exert a horizontal force on a block pulling the block over a smooth floor The student repeats the procedure several times each class=

Respuesta :

The graph in which the block will travel with the greatest speed is the graph with the greatest displacement at given equal forces.

Work energy theorem

Based on the principle of work energy theorem, the work done in moving the block against the frictionless floor is equal to the kinetic energy.  

K.E = ¹/₂kx²

K.E = ¹/₂Fd

¹/₂mv² = ¹/₂Fd

mv² = Fd

v² = Fd/m

v = √ (Fd/m)

Thus, the graph in which the block will travel with the greatest speed is the graph with the greatest displacement at given equal forces.

Learn more about work-energy theorem here: https://brainly.com/question/22236101

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