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Lead Spheres and the Pull of Gravity

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Lead Spheres and the Pull of Gravity

Use simulator data to argue that gravity attracts and depends on both masses.

The simulator data

Read the passage and study the table. Then answer the questions.

Science Night at Eastbrook Makerspace

1Every month the Eastbrook Makerspace holds a science night where members build and test simple devices. This month the theme was gravity. Volunteer engineer Elias Varga brought a wooden model of a famous device called a torsion balance. In 1798 the scientist Henry Cavendish hung a rod with a small lead ball on each end from a thin wire. He then placed two large lead balls, each about 160 kg, near the small ones. Over several minutes the small balls swung slowly toward the large balls and twisted the wire a tiny amount. By measuring the twist, Cavendish worked out the size of the force between the balls.

2The makerspace model is only for display. The real effect is so small that air currents, a slammed door or footsteps on the floor can hide it. So eighth grader Noor Castellanos ran a gravity simulator on a laptop instead. She placed two solid lead spheres, A and B, so that their centers were always 1.00 m apart. In each trial she changed the mass of one or both spheres and recorded the gravitational force between them in micronewtons (µN). One micronewton is one millionth of a newton. For comparison, a single sheet of printer paper weighs about 50,000 µN.

3In every trial the simulator drew two force arrows: one on sphere A pointing toward sphere B, and one on sphere B pointing toward sphere A. The two arrows were always the same length. Noor did not get to finish trial 6 before the laptop battery died, so that row is still blank.

4Elias added two facts from space science. Earth's mass is about 81 times the mass of the Moon, and Jupiter's mass is about 318 times the mass of Earth. When a space probe flies past a large planet, the planet pulls it inward, and the probe's path bends toward the planet before it moves away again.

Gravity Simulator Results (centers 1.00 m apart)
TrialMass of A (kg)Mass of B (kg)Force (µN)
11,0001,00067
22,0001,000133
33,0001,000200
44,0001,000267
52,0002,000267
64,0002,000?
1.
Compare trial 1 and trial 4.

The force in trial 4 is about times the force in trial 1.

2.
Which two trials show what happens when only the mass of sphere A changes?
Question 2 options
3.
Trials 4 and 5 have the same force. What does this show?
Question 3 options
4.
Sort each statement. Use only the simulator results in the passage and the table.
5.
Two students with masses of about 50 kg each sit 1 m apart. Neither one feels pulled toward the other. Which explanation fits the data best?
Question 5 options
6.
Use the patterns in the table to predict the force in trial 6.
Question 6 options

Gravity beyond the lab

Use the passage, the table and the patterns you found to answer.

7.
Which observation from the passage is the best evidence that gravity pulls objects toward each other?
Question 7 options
8.
Suppose the Moon had twice its real mass but stayed the same distance from Earth.

The gravitational force between Earth and the Moon would be times as strong as it is now.

9.
A space probe passes 1 million km from the center of Jupiter. Months later it passes 1 million km from the center of Earth. How do the two pulls on the probe compare?
Question 9 options
10.
A makerspace member claims: "The pull of gravity depends on the bigger object. The mass of the smaller object does not matter." Do you agree? Write a claim, give evidence from at least two trials in the table, and explain your reasoning.