AP EAPCET 18 May 2024 Shift 1 Solved Paper

Mass of first satellite, m1=m
Mass of second satellite, m2=1.5m
Radius of Earth, RE
Calculating Distances:
For the first satellite:
Distance from Earth's center, r1=RE+RE=2RE
For the second satellite:
Distance from Earth's center, r2=RE+2RE=3RE
Gravitational Forces:
Gravitational force by the first satellite:
F1=‌

GM⋅m

(2RE)2

=‌

GMm

4RE2

Gravitational force by the second satellite:
F2=‌

1.5×GMm

(3RE)2

=‌

1.5GMm

9RE2

Since r2>r1, it follows that F1>F2.
Ratio of Forces:
‌

F2

F1

=‌

‌ 1.5⋅GMm 9RE2

GMm 4RE2

=‌

1.5

9

×‌

4

1

=‌

6

9

=‌

2

3

Thus, the ratio F2:F1=2:3.