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

2 Answers
Jul 19, 2018

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

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