Given:
The mass of Maria, m=45 kg
The mass of Jose, M=70 kg
The distance between Maria and Jose, d=8 m
The gravitational constant, G=6.67×10⁻¹¹ Nm²kg⁻²
To find:
The gravitational force of attraction.
Step-by-step explanation:
From Newton's law of gravitation, the gravitational force of attraction between two objects is proportional to the product of the masses of the objects and inversely proportional to the square of the distance between the objects.
Thus the force between Maria and Jose is given by,
![F=(GMm)/(d^2)](https://img.qammunity.org/2023/formulas/physics/college/qqbvjpv2h60tff7jujnwf3xgw12s3323kk.png)
On substituting the known values,
![\begin{gathered} F=(6.67*10^(-11)*70*45)/(8^2) \\ =3.3*10^(-9)\text{ N} \end{gathered}](https://img.qammunity.org/2023/formulas/physics/college/h7am0bgdvxdnafh1ctv3ecbw0v6ozgtpc0.png)
Final answer:
Thus the correct answer is option B.