Question

1. The Earth has a mass of 6.0 E24 kg. The moon has a mass of 7.35E22. The moon is 384,400 km away. What is the force of gravity between the moon and Earth? (Remember to convert km to m!)

2. The gravitational force between two identical bowling balls 0.45m apart is 1.76 E-8. What is the mass of each bowling ball?

3. Mars has a mass of 6.39 E23 kg. Earth has a mass of 6E 24 kg. The gravitational force between them is 8.7 E10 N.How far apart are the two planets?

Please help me. ​

Answer 1

Step-by-step explanation:

1 )

mass of earth M = 6 x 10²⁴ kg

mass of moon m = 7.35 x 10²² kg

distance d = 3.84 x 10⁸ m

force of gravity between earth and moon

F= GMm / d²

= 6.67 x 10⁻¹¹ x 6 x 10²⁴ x 7.35 x 10²² / (3.84 x 10⁸ )²

= 19.95 x 10¹⁹ N .

2 )

F= GMm / d²

1.76 x 10⁻⁸ = 6.67 x 10⁻¹¹ x m² / .45²

m² = .0534 x 10³

m = 7.30 kg

3 )

F= GMm / d²

8.7 x 10¹⁰ = (6.6 x 10⁻¹¹ x 6.39 x 10²³ x 6 x 10²⁴) / d²

d² = 29.085 x 10²⁶ m²

d = 5.39 x 10¹³ m .