Question

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​

Answer 1

• Mass=m=12kg
• Force=F=84N

Acceleration be a

Apply Newton's second law

`\\ \rm\Rrightarrow F=ma`

`\\ \rm\Rrightarrow a=(F)/(m)`

`\\ \rm\Rrightarrow a=(84)/(12)`

`\\ \rm\Rrightarrow a=7m/s^2`

Answer 2

`\huge\bf\underline{solution}`

Mass of given body (m) = 12Kg

Force (F) = 84.0N

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

`\huge\bf\purple{force = mass * acceleration}`

Put all the given value we get

`\sf \dashrightarrow84 = 12 * acceleration \\ \\ \sf \dashrightarrow (84)/(12) = acceleration \\ \\ \sf \dashrightarrow7 {ms}^( - 2) = acceleration`

So, the acceleration due to gravity on that planet is 7m/s² .

So Your answer is B) 7.0m/s²