Question

for these planets what would be the effect of the following changes? 1) increasing the temperature of planet b 2) moving planet a 10,000 km closer to planet b 3) decreasing the mass of planet a by 2,000,000 kg 4) increasing the mass of planet b by 500,000 kg 5) removing the atmosphere from planet b stronger weaker no change

Explanation:

Step1: Analyze gravitational force and distance

Gravitational force between two planets is given by $F = G\frac{m_1m_2}{r^2}$, where $G$ is gravitational constant, $m_1$ and $m_2$ are masses of the two planets and $r$ is the distance between them.

Step2: Analyze effect of increasing temperature of Planet B

Temperature change of Planet B has no direct relation to gravitational - force between Planet A and Planet B. So, no change in gravitational force.

Step3: Analyze effect of moving Planet A closer

As $r$ decreases in $F = G\frac{m_1m_2}{r^2}$, the gravitational force $F$ increases. So, stronger gravitational force.

Step4: Analyze effect of decreasing mass of Planet A

As $m_1$ decreases in $F = G\frac{m_1m_2}{r^2}$, the gravitational force $F$ decreases. So, weaker gravitational force.

Step5: Analyze effect of increasing mass of Planet B

As $m_2$ increases in $F = G\frac{m_1m_2}{r^2}$, the gravitational force $F$ increases. So, stronger gravitational force.

Step6: Analyze effect of removing atmosphere from Planet B

Atmosphere has no direct impact on gravitational force between two planets. So, no change in gravitational force.

Answer:

1. No Change
2. Stronger
3. Weaker
4. Stronger
5. No Change