Problemas
Question 3 (1 point) The gravitational force between two objects increases as mass a decreases or distance decreases. b decreases or distance increases. c increases or distance increases. d increases or distance decreases.
Solución
Elsaélite · Tutor durante 8 años
Verificación de expertos
3.6 (229 votos)
Responder
The correct answer is 'd'. The gravitational force between two objects increases as the mass increases or the distance decreases.
Explicar
## Step 1<br />The problem is about the gravitational force between two objects. According to Newton's law of universal gravitation, the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.<br />### **F = G \frac{m1 \cdot m2}{r^2}**<br />where \(F\) is the gravitational force, \(G\) is the gravitational constant, \(m1\) and \(m2\) are the masses of the two objects, and \(r\) is the distance between the centers of the two objects.<br /><br />## Step 2<br />From the formula, we can see that the gravitational force increases as the mass of the objects increases. This is because the product of the masses \(m1 \cdot m2\) is in the numerator of the fraction, so as the mass increases, the numerator increases, and thus the force increases.<br /><br />## Step 3<br />Similarly, the gravitational force decreases as the distance between the objects increases. This is because the square of the distance \(r^2\) is in the denominator of the fraction, so as the distance increases, the denominator increases, and thus the force decreases.
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