Question

brainpop science / investigation / observe and check | page 5 of 7
4 reset the simulation using the button. use the blue slider to increase mass 1 and record the changes to the force of gravity between m1 and m2, measured in newtons (n), in the table below.

mass 1 (kilograms) | force of gravity ($10^{-7}$ n)
100 | 2.00
200 | 4.00
300 |
400 |

3.00 || 6.00 || 7.00 || 8.00 || 12.00 ||
+observation

Explanation:

Step1: Identify gravity-mass relationship

Newton's law of universal gravitation states gravitational force is directly proportional to the product of masses ($F \propto m_1$ when $m_2$ and distance are constant).

Step2: Calculate ratio of mass change

For $m_1=300$ kg: $\frac{300}{100}=3$

Step3: Find force for 300 kg

Multiply base force by ratio: $2.00 \times 3 = 6.00$

Step4: Calculate ratio for 400 kg

$\frac{400}{100}=4$

Step5: Find force for 400 kg

Multiply base force by ratio: $2.00 \times 4 = 8.00$

Answer:

Mass 1 (kilograms)	Force of gravity ($10^{-7}$ N)
200	4.00
300	6.00
400	8.00