A 12.0-kilogram mass weighs 84.0 newtons on a newly discovered planet. What is the magnitude of the acceleration due to gravity on this planet?


A. 1.20 m/s²


B. 7.0 m/s²


C) 9.8 m/s²


D. 84 m/s²​

Respuesta :

  • Mass=m=12kg
  • Force=F=84N

Acceleration be a

Apply Newton's second law

[tex]\\ \rm\Rrightarrow F=ma[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{F}{m}[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{84}{12}[/tex]

[tex]\\ \rm\Rrightarrow a=7m/s^2[/tex]

[tex] \huge\bf\underline{solution}[/tex]

Mass of given body (m) = 12Kg

Force (F) = 84.0N

We have been asked to find the magnitude of of the acceleration .

[tex] \huge\bf\purple{force = mass \times acceleration}[/tex]

Put all the given value we get

[tex] \sf \dashrightarrow84 = 12 \times acceleration \\ \\ \sf \dashrightarrow \frac{84}{12} = acceleration \\ \\ \sf \dashrightarrow7 {ms}^{ - 2} = acceleration[/tex]

So, the acceleration due to gravity on that planet is 7m/ .

So Your answer is B) 7.0m/