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kipiarov [429]
3 years ago
15

A potential energy function for system 1 is given by U1(x)=Cx2+Bx3. The potential energy function for system 2 is given by U2(x)

=A+Cx2+Bx3, where A is a positive quantity. How does the force on system 1 relate to the force on system 2 at a given position?
Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

F_1=F_2

Step-by-step explanation:

  Given that

For system 1

U_1(x)=Cx^2+Bx^3

For system 2

U_2(x)=A+Cx^2+Bx^3

A is positive quantity

We know that

Force F

F=\dfrac{dU}{dx}

For system 1

\dfrac{dU}{dx}=2Cx+3Bx^2

F_1=2Cx+3Bx^2

For system 2

\dfrac{dU}{dx}=0+2Cx+3Bx^2

F_2=2Cx+3Bx^2

F_1=2Cx+3Bx^2

F_2=2Cx+3Bx^2

F_1=F_2

So from above equations we can say that force on both system is equal at given value of x.

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3 years ago
Question: The meaning of four consecutive even numbers is 15.
nasty-shy [4]
First, a bit of housekeeping:

<span>The meaning of four consecutive even numbers is 15.  Wouldn't that be "mean," not meaning?  Very different concepts!

The greatest of these numbers is _______ a^1

"a^1" means "a to the first power.  There are no powers in this problem statement.  Perhaps you meant just "a" or "a_1" or a(1).


The least of these numbers is ______a^2.
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</span>
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