The table shows the relationship between the masses of two objects, the distance between the two objects, and the gravitational force between the objects. Which conclusion is supported by the data in the table?

1 an increase in the mass of an object causes the same decrease in the gravitational force.

2 An increase in the distance between the objects causes the same decrease in the gravitational force.

3 An increase in the distance between the objects causes a greater change in the gravitational force than the same increase in mass.

4 An increase in the mass causes a greater change in the gravitational force than the same increase in the distance between the objects.

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)

Which compound is held together by the electrostatic force between two ions? a. co2 b. cci4 c. h2s d. mgf2

Properties seen when one one substance changes to another are known as properties