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

2 Answers
Jul 4, 2018

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

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#