Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)
Question 1 Report
Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)
Answer Details
To make t the subject of the given formula, we need to isolate t on one side of the equation. Let's begin by squaring both sides of the equation:
\begin{align*}
k &= m\sqrt{\frac{t-p}{r}}\\
k^2 &= m^2\frac{t-p}{r}\\
k^2r &= m^2(t-p)\\
\end{align*}
Next, we'll isolate the t term by dividing both sides of the equation by m^2 and adding p:
\begin{align*}
k^2r &= m^2(t-p)\\
\frac{k^2r}{m^2}+p &= t\\
\end{align*}
Therefore, we have:
$$t = \frac{k^2r}{m^2}+p$$
Hence, the answer is option $\mathbf{(B)}$ $\frac{rk^2+pm^2}{m^2}$.
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning