What will be the acceleration due to gravity at a planet whose mass is 8 times the mass of the Earth and whose radius is twice that of the earth?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

What will be the acceleration due to gravity at a planet whose mass is eight times the mass of the earth and whose radius is twice that of the earth? ($$g$$ on earth is $$10{ms}^{-2}$$) Acceleration due to gravity = $$\frac{GM}{R^{2}}$$

For the given planet,

$$M$$ = $$8M_{earth}$$

$$R$$ = $$2R_{earth}$$

Therefore , acceleration due to gravity on the planet = $$\frac{G(8M_{earth})}{(2R_{earth})^{2}}$$

                                                                                        = $$2(\frac{GM_{earth}}{R_{earth}^{2}})$$

                                                                                        = $$2g$$

                                                                                        = $$20$$ $$ms^{-2}$$