# phys (1 Viewer)

#### marioyoshi

##### New Member
can someone help bowlkho 2011 physics
why do all objects accerate at the same rate on the eraht's surface
multiple choice question 1

bmup

#### Suu

##### Member
I'm going to assume that you are talking about "erath", a town in Louisiana, US. https://en.wikipedia.org/wiki/Erath,_Louisiana

On a more serious note, what are the choices for the answer?
The question seems a little bit vague to be honest.

#### EMKsquared

##### Member
The fact that all objects accelerate at the same rate can be mathematically shown in the formaula which equals the gravitational acceleeation that is caused by the planet(cant type it here). As seen from the formula the gravitational acceleration experienced is only dependent on the gravitational constant and the mass and radius of the planet, independent on the mass of any given object experiencing this acceleration. It could also be understood by the formula f=ma, and rearranged a=f/m. Although your original assumption would be a higher force equates in a higher acceleration is incorrect as a higher force is required to accelerate the higher mass object to the same acceleration, which on the Earths surface is 9.813....m/s/s, depending on where you are of course. Hope i explained that well , common misconception which always befuddles the majority of physics students

#### marioyoshi

##### New Member
the options were
a) gravitational force on each object is the same
b) gravitational force on each object is proportional to its mass
c) the acceleration is directly proportional to the gravitational force acting on each mass
d) the acceleration is directly proportional to the mass of the object

#### marioyoshi

##### New Member
thx, but the answer was b, "the gravitational force on each object is proportional to its mass". how does this then relate to the acceleration

#### Suu

##### Member
Simple.
Force= mass x acceleration.
if acceleration is constant (it is not, but it should be assumed it is for this question), than the more mass an object has, the more gravitational force it has. (probably not the best wording, but meh.)