1) 29.5 N/m
2) 0.100 m
Explanation:
1)
The force constant of the spring can be found by using the fact that the force on the spring is proportional to the extension of the spring (Hooke's Law). Therefore, we can write:
where
is the change in the force on the spring, where
is the force applied when the hanging mass is
is the force applied when the hanging mass is
is the change in extension of the spring, where
is the extension of the spring when the hanging mass is 0.300 kg
is the extension of the spring when the hanging mass is 1.95 kg
Solving for k,
2)
When the first mass is hanging on the spring, we have
where:
is the force applied on the spring (the weight of the hanging mass)
k is the spring constant
is the extension of the spring wrt its natural length
is the natural length of the spring (the unloaded length)
Here we have
k = 29.5 N/m
Solving for , we find:
A: A resource that will always be there, can be replenished by the biogeochemical cycles. B: Can regenerate if they are alive or can be replenished by biochemical cycles if they are non living.
Answer:
Explanation:
We have here a simple harmonic motion, so the equation of the position in this motion is:
(1)
A: Amplitude
ω: angular frequency
φ: phase constant
If we take the derivative of x with respect to t from (1), we can find the velocity equation of this motion:
(2)
Let's evaluate (1) and (2) in t=0.
(3)
(4)
Dividing 4 by 3 we have:
Now, using (3) we can find the amplitude.
I hope it helps!
Answer:
Distance 5 km, Displacement 3 km east
Explanation:
