Question

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

Answer 1

hi

Answer 2

hello @baru

Answer 3

Use Newtons second law of motion
Force = mass * acceleration

Answer 4

D?

Answer 5

@nthenic_oftime have you started with physics...or is this a problem from math class?

Answer 6

@baru i know some physics bt this is from math

Answer 7

F = 9*6 = 54 N
for the mass of 2 kg:-
54 = 2 a

Answer 8

thank you @welshfella

Answer 9

sole for a

Answer 10

yw

Answer 11

wait wouldnt i have to do 2*6 because its asking for object with mass of 2kg at same force

Answer 12

the force is 54 N
6 is the acceleration for the 9 kg mass

Answer 13

acceleration for 2 kg mass = 54/2

Answer 14

@welshfella i think this is an exercise in ratios...not physics..he/she is not very familiar with force

Answer 15

ooh okay get it we found the force first and then found rate of acceleration of the 2kg mass gotchya

Answer 16

i dont understand why this is on a math test when to me it seems like physics

Answer 17

well physics is often 'applied math'.

Answer 18

you are supposed to understand how "inverse proportionality" works

Answer 19

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)

Answer 20

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

Answer 21

so when m = 2
a = 54/ 2

Answer 22

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

Answer 23

lol

Answer 24

with inverse variation as one variable increses the other decreases and vice versa