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algebraic manipulation 5.5 isaac physics

https://isaacphysics.org/questions/manipulation_5_5?board=87100dc8-58b9-4579-96c1-6470b2225991&stage=a_level

cant figure out what form it wants for part c

i put in

t=(vX+Tc^2)/(c*sqrt(c^2-v^2))

but it says

This equation is correct, but you were told to use all five of the following: X, T, v, c and γ.

but if i dont rearrange for gamma it says its incorrect?
Original post by lottte
https://isaacphysics.org/questions/manipulation_5_5?board=87100dc8-58b9-4579-96c1-6470b2225991&stage=a_level

cant figure out what form it wants for part c

i put in

t=(vX+Tc^2)/(c*sqrt(c^2-v^2))

but it says

This equation is correct, but you were told to use all five of the following: X, T, v, c and γ.

but if i dont rearrange for gamma it says its incorrect?


subbing gamma into your expression works for me.
(edited 1 year ago)
Reply 2
Original post by mqb2766
subbing gamma into your expression works for me.

if i sub in gamma i get
t == (v*X + T*c**(2))/(gamma(c**(2) - v**(2)))

but that seems to be incorrect
Original post by lottte
if i sub in gamma i get
t == (v*X + T*c**(2))/(gamma(c**(2) - v**(2)))

but that seems to be incorrect


Yes its "incorrect". Just factor out the term 1/sqrt(1-v^2/c^2) from your original expressoin and replace with gamma. To get the sqrt(1-v^2/c^2) on the denominator you simply factor out c^2 from the existing root?
(edited 1 year ago)
Reply 4
Original post by mqb2766
Yes its "incorrect". Just factor out the term 1/sqrt(1-v^2/c^2) from your original expressoin and replace with gamma. To get the sqrt(1-v^2/c^2) on the denominator you simply factor out c^2 from the existing root?

got it thanks!

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