IF the mass m is pushed to compress the spring with force F, what will be the maximum compression and the maximum velcoity attained by mass m. PLZ help
I tried this way : for max compression F = kx so x = F/k
but we can also do it like this : Fx(work) = 1/2kx^2(energy stored in spring) so x = sqrt(2F/k)
Im getting two answers and i have no idea how to find max velcoity
cmon guys plz help
I tried this way : for max compression F = kx so x = F/k
but we can also do it like this : Fx(work) = 1/2kx^2(energy stored in spring) so x = sqrt(2F/k)
Im getting two answers and i have no idea how to find max velcoity
cmon guys plz help
-
The answer should be x = F/k
If you approach it using elastic energy stored = 1/2 kx^2, then
Avg force x max compression = 1/2 kx^2
1/2(0+F)x = 1/2 kx^2 , assuming Hooke's law applies.
You arrive at the same answer x = F/k
Hope it helps.
Note: Not sure why you use F x(work) = 1/2kx^2. No such relation.
If you approach it using elastic energy stored = 1/2 kx^2, then
Avg force x max compression = 1/2 kx^2
1/2(0+F)x = 1/2 kx^2 , assuming Hooke's law applies.
You arrive at the same answer x = F/k
Hope it helps.
Note: Not sure why you use F x(work) = 1/2kx^2. No such relation.