Question

Weight of an object on the moon is 100N its weight on the earth will be, 1, 100N 2, 1200N 3, 50N 4, none?

Answer 1

None of these

Explanation:

Well `F_("net")=ma`

And since the acceleration due to gravity on the moon is about `1.6 m/s^2`:

The mass of this object is: `(100N)/(1.6m/s^2)= 62.5 kg`

So the "weight" or the force experienced by gravity on Earth of this object will be:
`62.5 kg*9.8 m/s^2=612.5approx600 N`

None of these

Answer 2

Option (4) None. is correct answer

Explanation:

Wight `W` of a body of mass `M` on a planet having acceleration due to gravity `g` is

`W=Mg`

Weight on moon

`W_{\text{moon}}=100=Mg_{\text {m}}\ ..........(1)`

Weight on Earth

`W_{\text{earth}}=Mg_{\text {e}}\ ...........(2)`

Dividing (2) by (1), we get

`W_{\text{earth}}/W_{\text{moon}}={Mg_{\text {e}}}/{Mg_{\text {m}}}`

`W_{\text{earth}}/100={g_{\text {e}}}/{g_{\text {m}}}`
Since, acceleration due to gravity on earth `g_{\text {e}}` is approximately `6` times that `g_{\text {m}}` on moon hence we have

`W_{\text{earth}}/100=6`

`W_{\text{earth}}=600\ N`