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The acceleration of a particle as seen from two frames S1 & S2 have equal magnitude 4m/s^2. (a) The frames must be at rest with respect to each other. (b) The frames may be moving with respect to each other but neither should be accelerated with respect to each other. (c) The acceleration of S2 with respect to S1 may either be 0 or 8m/s^2. (d) The acceleration of S2 with respect to S1 may be anything between 0 and 8m/s^2. THE ANSWER is given as (d) Well though d is correct i don’t understand why b can’t also be correct becauseap,s2 = a p,s1 + a s1,s2so since we have got both a p,s1 & ap,s2 4m/s2a s1,s2 should be ofcourse 0 i.e, neither should be accelerated with respect to the other.But the answer is only (d) . How ?

Atul Saswat , 8 Years ago
Grade 12
anser 4 Answers
Aditya Shrivastav

Last Activity: 8 Years ago

you are forgetting that they are equal magnitude not the “equal values” .

solve for
ap,s2 = a p,s1+ a s1,s2

Say for example  
ap,s2  = 4 i 
                        p,s1 = -4 i
then  s1,s2 = 8 

another example 

ap,s2  = 4 i 
 p,s1 = 4 j
then  s1,s2 =   4i + 4j , magnitude will be 5.65

There will be so many other possiblities . Just take the extreme cases . You will get your answer . 



 

Aditya Shrivastav

Last Activity: 8 Years ago

Sorry , in last example 
“a s1,s2 =   4i - 4j “. There is negative sign instead of  positive sign .

My mistake :D . 

 

Atul Saswat

Last Activity: 8 Years ago

Didn’t really look down into details (my bad :P)
Actually d and b contradicts each other..so i should hv got it instantly...
guess my brain was fuzzy back then ! or maybe i srsly needed a nap ! however ...Thanx adi ! 

Aditya Shrivastav

Last Activity: 8 Years ago

it’s happen to me alot also ;)

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