Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

select the correct answer. the formula for finding the kinetic energy, …

Question

select the correct answer. the formula for finding the kinetic energy, e, of an object is given below, where m represents the mass and v represents the speed of the object. e = 1/2mv². solve the formula for v. v = √(2e/m) v = √(m/2e) v = 4e/m v = √(e/2m)

Explanation:

Step1: Isolate $v^2$

$E=\frac{1}{2}mv^2 \Rightarrow v^2=\frac{2E}{m}$

Step2: Solve for $v$

$v = \sqrt{\frac{2E}{m}}$

Answer:

$v = \sqrt{\frac{2E}{m}}$