Question

How much would a 2000 N car weigh on the Moon?

Answer 1

`300 N`

Explanation:

A car that weighs `2000N` on the Earth must weigh:

`F=ma`

`(2000N)/(9.8m/s^2)= 204.08 kg`

So it's weight on moon would be:
`(204.08 kg)(1.6m/s^2)approx300 N` reported with 1 sig fig

Answer 2

`331.2946\ N`

Explanation:

The weight `W` of any body of mass `m` (universally constant) under the acceleration due to gravity `g` is given as

`W=mg`

Now, given that weight of car on the Earth (`g=9.81\ \text{m/s}^2`) is `2000\ N` hence we have

`2000=m(9.81)\ .........(1)`

Now, let `W'` be the weight of car on the Moon (`g=1.625\ \text{m/s}^2`) will be given as

`W'=m(1.625)\ .........(2)`

Now, dividing (2) by (1) as follows

`\frac{W'}{2000}=\frac{m(1.625)}{m(9.81)}`

`W'=\frac{2000\times 1.625}{9.81}`

`=331.2946`

Hence the weight of car on the Moon will be `331.2946\ N`