<h3>Answer:</h3>
10cm, 19cm
Explanation:
Forgive me, I dont have a paper with me now so I cant show you the working BUT here's the rough idea...
Hooke's Law explains that the force needed to extend or compress a spring by some distance x scales linearly with respect to that distance. Take for example the picture above.
As such, the values can be placed in a linear graph, given that it goes not reach its elastic limit. So subtract 20g from 30g and you'll get 10g; subtract 16cm from 14cm makes it 2cm. Following hooke's law makes F=x, 2F=2x so 10g=2cm; 5g=1cm and 1g=0.2cm.
So, to find out how much was extended in the first figure, multiply 20g by 0.2 to get 4cm; the third figure, 30g by 0.2 to get 6cm.
Hence the answer to question one is 14-4 and 16-6 which is 10cm
Now knowing the original length, we can calculate x finding the extention. First, multiply 45g with 0.2 giving 9cm, then adding it to the original 10cm to obtain 19cm.
Hope this is understandable
Answer:
a. 25 N/m
b. 0.8886 s
c. 0.707 m/s
d. At the equilibrium point
Explanation:
m = 500 g = 0.5 kg
L = 20 cm = 0.2 m
A = 10 cm = 0.1 m
a. Let g = 10 m/s2, then the gravity of the 0.5 kg book acting on the spring is
F = mg = 0.5*10 = 5 N
If the spring is stretched L = 0.2 m under 5N load, then the spring constant k is:
k = F/l = 5 / 0.2 = 25 N/m
b. We can treat this as simple harmonic motion with magnitude A = 0.1 cm. The period of this motion is
c. The book maximum speed:
d. Due to the law of energy conservation, the maximum speed would occur at the equilibrium point. This is where the potential energy, elastic energy is 0 and the kinetic energy is greatest.
<span>The speeds of a modern turbine that has blades that are 56 m long averages around 40 mph. It varies by how much rpm's it uses at the given time. The lower the rpm's, the lower mph it will be. Likewise, the higher the rpm's, the higher mph is will be.</span>
Color travels in waves, which are loosely divided into short, medium and long in length. Because colors travel at different wavelengths, some are easier to see than others, but the amount of light is also a factor. In general, however, green is the most visible color from a distance, so yes there is.