any help would be great :) ...
If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If an object with a mass of 9 kilograms accelerates at a rate of 6 meters per second per second by a force, find the rate of acceleration of an object with a mass of 2 kilograms that is pulled by the same force.
A. 3 meters per second per second
B. 27 meters per second per second
C. 18 meters per second per second
D. 24 meters per second per second
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Use Newtons second law of motion
Force = mass * acceleration
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@nthenic_oftime have you started with physics...or is this a problem from math class?
@baru i know some physics bt this is from math
F = 9*6 = 54 N
for the mass of 2 kg:-
54 = 2 a
thank you @welshfella
sole for a
wait wouldnt i have to do 2*6 because its asking for object with mass of 2kg at same force
the force is 54 N
6 is the acceleration for the 9 kg mass
acceleration for 2 kg mass = 54/2
@welshfella i think this is an exercise in ratios...not physics..he/she is not very familiar with force
ooh okay get it we found the force first and then found rate of acceleration of the 2kg mass gotchya
i dont understand why this is on a math test when to me it seems like physics
well physics is often 'applied math'.
you are supposed to understand how "inverse proportionality" works
when a is inversely proportional to m we can write
a = k / m where k is some constant
in the above case the constant is the force (54)
you can find the value of k by plugging in known values of a and m ( 6 and 9)
6 = k/9
so k = 6*9 = 54
know we have established the formula for a in terms of m
a = 54/m
so knowing the value of a or m we can find the other variable
so when m = 2
a = 54/ 2
okay @welshfella thats what i was seeing in my mind or what made sense i didnt know it had a name thank you for that info too
with inverse variation as one variable increses the other decreases and vice versa