Question

the potential energy of an object is given by u(x)=3x^2-2x^3,where u is in joules and x is in meters

Answer 1

Answer:

1+4=17, 3+2=37,1+7=50, 6+4=

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Answer 2

The force is $-6x+6x^2$

Explanation:

Given that,

The potential energy of an object is

$U(x)=3x^2-2x^3$

Suppose determine the force $F(x)$ as a function of x

We need to calculate the force

Using formula of potential energy

$U(x)=-\int{f{x}dx}$

$f(x)=-\dfrac{dU(x)}{dx}$

Put the value into the formula

$F_{x}=-\dfrac{d}{dx}(3x^2-2x^3)$

$F_{x}=-6x+6x^2$

Hence, The force is $-6x+6x^2$.

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Topic : Potential energy

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