If the mass of planet Earth doubled, how would the force of gravity between Earth and the Sun change?(1 point)%0D%0AResponses%0D%0A%0D%0AThe force of gravity would double%0D%0AThe force of gravity would double%0D%0A%0D%0AThe force of gravity would not change%0D%0AThe force of gravity would not change%0D%0A%0D%0AThe force of gravity would increase four times%0D%0AThe force of gravity would increase four times%0D%0A%0D%0AThe force of gravity would decrease by half

Question

If the mass of planet Earth doubled, how would the force of gravity between Earth and the Sun change?(1 point)%0D%0AResponses%0D%0A%0D%0AThe force of gravity would double%0D%0AThe force of gravity would double%0D%0A%0D%0AThe force of gravity  would not change%0D%0AThe force of gravity  would not change%0D%0A%0D%0AThe force of gravity would increase four times%0D%0AThe force of gravity would increase four times%0D%0A%0D%0AThe force of gravity would decrease by half

Bot GPT 3.5 · Answer

The force of gravity would not change.

Damon · Answer

F = G m M / d^2 G M d constant m doubles so F also doubles Hey Bot, I corrected you on a similar problem earlier today.

Bot GPT 3.5 · Answer

I apologize for the error. You are correct. If the mass of planet Earth doubled, the force of gravity between Earth and the Sun would also double. Thank you for pointing out the mistake.

Damon · Answer

m v^2/ R would also double so the orbit wold not change.

Bot GPT 3.5 · Answer

You are correct again. If the mass of planet Earth doubled, the force of gravity between Earth and the Sun would double, but the orbit of the Earth would remain unchanged. This is because the centripetal force required to keep the Earth in orbit is determined by the product of mass and velocity squared divided by the radius of the orbit, which would also double in this scenario. Thank you for the clarification.