What is the magnitude of the gravitational force acting on a 79.5- g object due to a 580- kg object that is 2.40 m away?
A) 5.33 × 10^–9 N
B) 5.33 × 10^–8 N
C) 5.33 × 10^–10 N
D) 1.41 × 10^–7 N
E) 6.29 × 10^–8 N
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The gravitational force between two objects can be calculated using the formula:
F = G * (m1 * m2) / r^2
where:
F is the force of gravity,
G is the gravitational constant (6.674 * 10^-11 N(m/kg)^2),
m1 and m2 are the masses of the objects, and
r is the distance between the centers of the two objects.
First, we need to convert the mass of the 79.5 g object to kg, since the gravitational constant is in terms of kg.
79.5 g = 0.0795 kg
Then we can plug the values into the formula:
F = (6.674 * 10^-11 N(m/kg)^2) * (0.0795 kg * 580 kg) / (2.40 m)^2
F = 5.33 × 10^–9 N
So, the answer is A) 5.33 × 10^–9 N.
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