Question

jace is using a computer simulation to measure the force of gravity between two objects. the simulation allows him to change the masses of the objects and the distance between them. a diagram of the two objects is shown below. which of these changes would increase the force of gravity between the two objects? choose 1 answer: a increasing the mass of object 1 b decreasing the mass of object 2 c increasing the distance between the two objects

Explanation:

The force of gravity between two objects is given by the formula \( F = G\frac{m_1m_2}{r^2} \), where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between them. To increase the gravitational force, we can either increase the mass of one (or both) of the objects or decrease the distance between them.

• Option A: Increasing the mass of object 1 (\( m_1 \)) will increase the numerator of the gravitational force formula, thus increasing the force.
• Option B: Decreasing the mass of object 2 (\( m_2 \)) will decrease the numerator, leading to a decrease in the gravitational force.
• Option C: Increasing the distance (\( r \)) between the two objects will increase the denominator (since \( r \) is squared), leading to a decrease in the gravitational force.

So, increasing the mass of object 1 will increase the gravitational force between the two objects.

Answer:

A. increasing the mass of object 1