nthenic_oftime
  • nthenic_oftime
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
Mathematics
katieb
  • katieb
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baru
  • baru
hi
nthenic_oftime
  • nthenic_oftime
hello @baru
welshfella
  • welshfella
Use Newtons second law of motion Force = mass * acceleration

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nthenic_oftime
  • nthenic_oftime
D?
baru
  • baru
@nthenic_oftime have you started with physics...or is this a problem from math class?
nthenic_oftime
  • nthenic_oftime
@baru i know some physics bt this is from math
welshfella
  • welshfella
F = 9*6 = 54 N for the mass of 2 kg:- 54 = 2 a
nthenic_oftime
  • nthenic_oftime
thank you @welshfella
welshfella
  • welshfella
sole for a
welshfella
  • welshfella
yw
nthenic_oftime
  • nthenic_oftime
wait wouldnt i have to do 2*6 because its asking for object with mass of 2kg at same force
welshfella
  • welshfella
the force is 54 N 6 is the acceleration for the 9 kg mass
welshfella
  • welshfella
acceleration for 2 kg mass = 54/2
baru
  • baru
@welshfella i think this is an exercise in ratios...not physics..he/she is not very familiar with force
nthenic_oftime
  • nthenic_oftime
ooh okay get it we found the force first and then found rate of acceleration of the 2kg mass gotchya
nthenic_oftime
  • nthenic_oftime
i dont understand why this is on a math test when to me it seems like physics
welshfella
  • welshfella
well physics is often 'applied math'.
baru
  • baru
you are supposed to understand how "inverse proportionality" works
welshfella
  • welshfella
yea 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)
welshfella
  • welshfella
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
welshfella
  • welshfella
so when m = 2 a = 54/ 2
nthenic_oftime
  • nthenic_oftime
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
nthenic_oftime
  • nthenic_oftime
lol
welshfella
  • welshfella
with inverse variation as one variable increses the other decreases and vice versa

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