Question

Planet w-6.4kg
Planet X- 3.3
Planet y-59.7 planet z-48.7
Assuming these planets were similar in radius which planet would an object weigh the most?

Answer 1

To determine which planet an object would weigh the most on, we need to consider the gravitational force exerted by each planet, which is influenced by the planet's mass and radius. The formula for weight is:

\[
\text{Weight} = \text{mass} \times \text{gravitational acceleration} = m \times g
\]

Where \(g\) (gravitational acceleration) can be expressed as:

\[
g = \frac{G \cdot M}{R^2}
\]

Here, \(G\) is the gravitational constant, \(M\) is the mass of the planet, and \(R\) is the radius of the planet. Since we are assuming all planets have similar radii, the weight an object experiences would depend predominantly on the mass of the planets.

Based on the given masses:

- Planet W: 6.4 kg
- Planet X: 3.3 kg
- Planet Y: 59.7 kg
- Planet Z: 48.7 kg

Since Planet Y has the highest mass (59.7 kg), an object would weigh the most on Planet Y, assuming all planets have similar radii.