Question

Find the height at which an object is placed if its mass is 150 g and energy possessed is 150 J. (g-10m/s2)
a) 150m
b) 100m
c) 0.1m
d) 50m
answer the question with steps....​

Answer 1

Given :

• Energy Possessed = 150 J
• Mass of Object = 150 g
• Gravitational force = 10 m/s

To Find :

• Height of Object = ?

$\\ \qquad{\rule{200pt}{2pt}}$

SolutioN :

$\maltese$ Formula Used :

$\qquad \; {\orange{\bigstar \; \; {\purple{\underbrace{\underline{\red{\sf{ Energy \; Possessed = mgh }}}}}}}}$

Where :

• m = Mass
• g = Gravity
• h = Height

$\maltese$ Calculating the Height :

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { Energy \; Possessed = mgh } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { 150 = 150 \times 10 \times h } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { 150 = \dfrac{150}{1000} \times 10 \times h } \qquad \; \bigg\lgroup {\pink{\sf{ 1 \; kg = 1000 \; g }}} \bigg\rgroup \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { 150 \times 1000 = 150 \times 10 \times h } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { 150000 = 150 \times 10 \times h } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { 150000 = 1500 \times h } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { \dfrac{150000}{1500} = h } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; \sf { \cancel\dfrac{150000}{1500} = h } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{ Height = 100 \; m }}}}} \; {\green{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}$

$\therefore \;$ Height of the Object is 100 m .

$\\ \qquad{\rule{200pt}{2pt}}$

Answer 2

• Height of the Object is 100 m .