Answer:
[tex] \boxed{ \bold{ \purple{0.0769 \: kg \: }}}[/tex]
Explanation:
[tex] \sf{Potential Energy ( P.E ) \: = \: 20.8 \: joule}[/tex]
[tex] \sf{distance \: = 27.6 \: metre}[/tex]
[tex] \sf{mass = }[/tex] ?
[tex] \sf{acceleration \: due \: to \: gravity = 9.68 \: {metre \: per \: second}^{2} }[/tex]
Now, let's find the mass:
[tex] \sf{PE \: = mass \times gravity \: \times \: distance}[/tex]
plug the values
⇒[tex] \sf{20.8 = m \times 9.8 \times 27.6}[/tex]
Multiply the numbers
⇒[tex] \sf{20.8 = 270.48 \: m}[/tex]
Swap the sides of the equation
⇒[tex] \sf{270.48m = 20.8}[/tex]
Divide both sides of the equation by 270.48
⇒[tex] \sf{ \frac{270.48m}{270.48} = \frac{20.8}{270.48} }[/tex]
Calculate
⇒[tex] \sf{0.0769}[/tex] kg
Hope I helped!
Best regards!!
