Answer:
24/325 m ≈ 7.38 cm
Step-by-step explanation:
The equilibrium position of the package is the distance at which the package weight is balanced by the spring force. That distance is ...
(12 N)/(325 N/m) = 12/325 m
Since the package is placed suddenly on the pan and there are no losses in the system, the position of the package will oscillate about this distance with an amplitude equal to this distance. That is, the maximum compression will be to a distance that is twice this amount, or ...
24/325 m
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This is the depth at which all of the potential energy of the package due to its height is transformed into the potential energy of the spring due to its compression.
Answer:
0.03
Step-by-step explanation:
fraction = part/whole
= 27/900
= 3/100
=0.03
decimal value = 0.03
The ball's velocity will be represented by the derivative of its distance function:
Now find the times
for which this is equal to 30, i.e. solve
This has two solutions,
, but only one is positive and falls in the interval
![[0,3]](https://tex.z-dn.net/?f=%5B0%2C3%5D)
. So the velocity reaches 30 cm/s when
.
3.5 kg:800g
3500g:800g
35g:8g
Answer:
(-6,8)
Step-by-step explanation:
2x + 9y = 60
-9x + y = 62 --> y = 9x + 62 --> 2x + 9(9x + 62) = 60 -->
2x+ 81x + 558 = 60 -->
83x + 558 = 60 -->
83x = -498 -->
x = -6 -->
y = 9(-6) + 62 -->
y = 8
