Question

The gravitational force acting on various masses is measured on different planets. Measured values for the forces acting on the corresponding masses are shown in the data table. Analyze the data and develop a method for comparing the gravitational field strengths on the different planets. Use your method to compare the gravitational field strengths, and report your conclusions.
Plant force(N) Mass(kg)
A 10 0.50
B 30 2.0
C 45 3.0
D 60 6.0

Answer 1

we Know that gravitational field strength(g) at a point on a planet  is equal to  gravitational force exerted per unit mass placed at that point.

It Means,

g=F/m

Here,

g=gravitational field strength

F=Gravitational force

m=Mass

Case A

planet force =10 and mass= .5

g1=F/m

g1=10/.5

=100/5

g1=20m/s

case B

F=30 and m=2

therefore g2=30/2

g2=15m/s^2

case C

F=45 and m=3

g3=45/3

=15m/s^2

case D

g4=60/6

g4=10m/s^2

from above results it is clear that the gravitational field strength of planet D is minimum which is 10m/s^2 and gravitational field strength of planet A is maximum which is 20m/s^2