AP Physics 1: 1.3 Fields in Space

well if mass doubles then gravity must double too, right? well then we'd be

correct yes and the correct answer is option C but there's math that supports

our brilliant intuition here so let's check it out gravity equals the [Floating mathematical equations]

gravitational constant multiplied by mass divided by the square of the radius

of the sphere in this equation the gravitational constant is represented by

a big G if we double the mass then we'll have 2m rather than just m and when

we distribute the 2 we get this so we don't need to worry about plugging in

the actual numbers for now as long as we understand how the map actually works [A plug going into a socket]

another way to look at it well force equals mass times acceleration right

double the mass you get double the force and that's how we can prove that our

initial thought is in fact correct the good news about a planet twice the size [Planet Earth doubling in size]

well math is still math the bad news yep we'd weigh twice as much and we've heard

about the freshman 15 but oh this is ridiculous... Heyy!