Planet X has a mass twice the mass of the Earth and a radius one and a half times that of the Earth. If the acceleration due to gravity on the Earth \( g \), then the gravitational acceleration on planet \( x \) will be ...

To find the gravitational acceleration on Planet X, we can use the formula for gravitational acceleration \( g' \), which is given by: \[ g' = \frac{G \cdot M}{R^2} \] Where \( G \) is the gravitational constant, \( M \) is the mass, and \( R \) is the radius. Given that the mass of Planet X is \( 2M_E \) (twice that of Earth) and the radius is \( 1.5R_E \) (one and a half times that of Earth), we can substitute these values in: \[ g' = \frac{G \cdot (2M_E)}{(1.5R_E)^2} \] This can be simplified to: \[ g' = \frac{2G \cdot M_E}{2.25R_E^2} \] This simplifies further to: \[ g' = \frac{2}{2.25} \cdot g \] Calculating that gives us: \[ g' = \frac{8}{9} g \] So, the gravitational acceleration on Planet X will be \( \frac{8}{9} g \). In summary, Planet X, despite its larger mass, has a slightly lower gravitational pull compared to Earth due to its larger radius!