Answer: 1.4 x 10^-8N
Step-by-step explanation:
Given that,
Mass of Particle 1 (m1) = 12kg
Mass of Particle 2 (m2) = 25kg
distance between particles (r) = 1.2m. Gravitational force (F) =
Apply the formula for gravitational force:
F = Gm1m2/r²
where G is the gravitational constant with a value of 6.7 x 10^-11 Nm2/kg2
Then, F = (6.7 x 10^-11 Nm²/kg² x 12kg x 25kg) / (1.2m)²
F = (2.01 x 10^-8Nm²) / (1.44m²)
F = 1.396 x 10^-8N (Rounded to the nearest tenth as 1.4 x 10^-8N)
Thus, the magnitude of the gravitational force acting on the particles is 1.4 x 10^-8 Newton