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Answer:
3.24×10¯² nN
Explanation:
From the question given above, the following data were obtained:
Mass of girl (M₁) = 61.6 kg
Mass of boy (M₂) = 71.2 kg
Distance apart (r) = 95 m
Gravitational constant (G) = 6.67×10¯¹¹ Nm²/Kg²
Force (F) =?
The force of attraction between the girl and the boy can be obtained as follow:
F = GM₁M₂ /r²
F = 6.67×10¯¹¹ × 61.6 × 71.2 / 95²
F = 6.67×10¯¹¹ × 61.6 × 71.2 / 9025
F = 3.24×10¯¹¹ N
Finally, we shall convert 3.24×10¯¹¹ N to nN. This can be obtained as follow:
1 N = 10⁹ nN
Therefore,
3.24×10¯¹¹ N = 3.24×10¯¹¹ N × 10⁹ nN / 1 N
3.24×10¯¹¹ N = 3.24×10¯² nN
Thus, the force attraction between the girl and the boy is 3.24×10¯² nN