U=21kx2The elastic energy of an object, U, is determined by its absolute compression, x, and the spring constant of the object, k, as shown in the formula. Which of the following correctly shows the object's absolute compression in terms of its elastic energy and spring constant?Choose 1 answer:(A) x=2kU(B) x=k2U(C) x=k2U(D) x=(k2U)2
Q. U=21kx2The elastic energy of an object, U, is determined by its absolute compression, x, and the spring constant of the object, k, as shown in the formula. Which of the following correctly shows the object's absolute compression in terms of its elastic energy and spring constant?Choose 1 answer:(A) x=2kU(B) x=k2U(C) x=k2U(D) x=(k2U)2
Multiply by 2: We have U=(21)kx2 and we need to solve for x.
Divide by k: First, multiply both sides by 2 to get rid of the fraction: 2U=kx2.
Take square root: Next, divide both sides by k to isolate x2: k2U=x2.
Take square root: Next, divide both sides by k to isolate x2: (2U)/k=x2. Now, take the square root of both sides to solve for x: x=(2U)/k.
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