Question

If the energy possessed by an object is 588J calculate its mass when it is at a height of 6 m above the ground​

Answer 1

Given :-

• Potential energy= 588J (Ek)
• Height = 6m

To Find:-

• Mass

Formula :-

$\sf \boxed{ \sf{Potential \: Energy = Mass × Acceleration \: due \: to \: gravity × Height}}$

${ \boxed{ \sf {\large{ \red{E{\tiny(p) }= m \times g \times h}}}}}$

Now put the values in above formula

${ \boxed{ \tt{Taking \: \: \: \green{g = 10m/ {s}^{2} }}}}$

$\: \: \: \large \sf \implies588 = m \times 10 \times 6$

$\: \: \: \large \implies \tt \: m = \frac{588}{10 \times 6}$

$\: \: \: \large \tt \implies \: \red{m = 9.8kg}$

________________________

If we take g = 9.8m/s^2

Then,

$\: \: \: \: \: \sf \implies \large588 = m \times 9.8 \times6$

$\: \: \: \: \: \large \implies\sf \: m = \frac{588}{58.8}$

$\: \: \: \: \: \large \implies \sf m = \frac{588 \times 10}{588}$

$\: \: \: \: \: \large \implies \sf \red {m = 10kg}$

____________________

If we take value of g=10m/s^2 then,

$\large \sf \boxed{ \red{ \sf{m = 9.8kg}}}$

And if we take value of g=9.8m/s^2 then,

$\large {\sf {\boxed{ \red{ \sf{m = 10kg}}}}}$