Home
/
Physics
/
The kinetic energy, E . of an object is related to its mass ,m, and its velocity v, by the following formula: E=(1)/(2)mv^2 Make v the subject of this formula.

Question

The kinetic energy, E . of an object is related to its mass ,m, and its velocity v, by the following formula: E=(1)/(2)mv^2 Make v the subject of this formula.

The kinetic energy, E . of an object is related to its mass ,m, and its velocity v, by the following formula: E=(1)/(2)mv^2 Make v the subject of this formula.

expert verifiedVerification of experts

Answer

4.7309 Voting
avatar
AntheaMaster · Tutor for 5 years

Answer

<p> \( v = \sqrt{\frac{2E}{m}} \)</p>

Explain

<p> This problem demands the reader to rearrange the formula for kinetic energy in terms of the velocity variable, \( v \). Using algebra, we'll need to isolate \( v \) on one side of the equation. Here are the steps:<br /><br />1. From the original equation \( E = \frac{1}{2} mv^2 \), we start by isolating \( v^2 \) by multiplying both sides of the equation by \( \frac{2}{m} \). We will get \( v^2 = \frac{2E}{m} \).<br /><br />2. To isolate \( v \), we should then take the square root of both sides. It's important to note however, that taking the square root of a quantity actually gives two solutions, positive and negative. But in the physical context that this problem lies in, we ignore the negative solution because velocity can't be negative in this sense.</p>
Click to rate:

Hot Questions

More x