Mona weighs 423 N on Earth and 1000 N on Jupiter. Find the gravitational force of Jupiter?(take'g'of Earth as 10m/s²)

1 Answer
Nov 27, 2017

The value of #g#, the gravitational constant, at the surface of Jupiter is #23.6# #Nkg^-1# based on the data given in this question.

Explanation:

The weight force on an object is given by:

#F_w=mg#

'#g#' is a value at a particular level on a particular planet, not a constant everywhere. Near the surface of Earth, the value of #g# is #9.8#. which we can approximate as #10# #Nkg^-1#.

We can find Mona's mass by rearranging this expression:

#m=F_w/g=423/10=42.3# #kg#

Now we can re-arrange to find the value of #g# on Jupiter:

#g=F/m=1000/42.3=23.6# #Nkg^-1#.