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

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Answer 1 · 2018-07-19T23:26:46

$300 N$ $300 N$

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

$F = m a$ $F=ma$

$\frac{2000 N}{9.8 \frac{m}{s^{2}}} = 204.08 k g$ $(2000N)/(9.8m/s^2)= 204.08 kg$

So it's weight on moon would be:
$(204.08 k g) (1.6 \frac{m}{s^{2}}) \approx 300 N$ $(204.08 kg)(1.6m/s^2)approx300 N$ reported with 1 sig fig

Answer 2 · 2018-07-21T17:28:37

$331.2946\ N$

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 $331.2946\ N$