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Olegator [25]
3 years ago
9

Find expressions for the force needed to bring an object of mass m from rest to speed v in time t. express your answer in terms

of the variables m, v, and t.
Physics
1 answer:
VARVARA [1.3K]3 years ago
3 0
Good morning.

We have that:

\mathsf{V = a\cdot t} , since we have rest in the inicial time.

The acceleration can be found with Newton's Law:

\mathsf{F = m\cdot a\iff a = \dfrac{F}{m}}

Now we put the acceleratin in the velocity equation:

\mathsf{V = \dfrac{F}{m} \cdot t}

We want the force, so, let's isolate F:

\mathsf{V\cdot m = F\cdot t}\\ \\ \\ \boxed{\mathsf{F = \dfrac{V\cdot m}{t}}}

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