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

2 Answers
Jul 19, 2018

Answer:

#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:

#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#