Answer:
θ=5.65°
Explanation:
Given Data
Mass m=1.5 kg
Length L=0.80 m
First spring constant k₁=35 N/m
Second spring constant k₂=56 N/m
To find
Angle θ
Solution
As the both springs take half load so apply Hooks Law:
Force= Spring Constant ×Spring stretch
F=kx
x=F/k
as
![d=x_{1}-x_{2}\\ as \\x=F/k\\so\\d=\frac{F_{1} }{k_{1}} -\frac{F_{2}}{k_{2}}\\ Where \\F=1/2mg\\d=\frac{(1/2)mg}{k_{1}} -\frac{(1/2)mg}{k_{2}}\\ d=\frac{mg}{2}(\frac{1}{k_{1}} -\frac{1}{k_{2}} )\\ And\\Sin\alpha=d/L\\\\alpha =sin^{-1}[\frac{mg}{2L}(1/k_{1}-1/k_{2})]\\\alpha =sin^{-1}[\frac{(1.5kg)(9.8m/s^{2} )}{2(0.80m)}(1/35Nm-1/56Nm) ]\\\alpha =5.65^{o}](https://tex.z-dn.net/?f=d%3Dx_%7B1%7D-x_%7B2%7D%5C%5C%20%20as%20%5C%5Cx%3DF%2Fk%5C%5Cso%5C%5Cd%3D%5Cfrac%7BF_%7B1%7D%20%7D%7Bk_%7B1%7D%7D%20-%5Cfrac%7BF_%7B2%7D%7D%7Bk_%7B2%7D%7D%5C%5C%20Where%20%5C%5CF%3D1%2F2mg%5C%5Cd%3D%5Cfrac%7B%281%2F2%29mg%7D%7Bk_%7B1%7D%7D%20-%5Cfrac%7B%281%2F2%29mg%7D%7Bk_%7B2%7D%7D%5C%5C%20d%3D%5Cfrac%7Bmg%7D%7B2%7D%28%5Cfrac%7B1%7D%7Bk_%7B1%7D%7D%20-%5Cfrac%7B1%7D%7Bk_%7B2%7D%7D%20%29%5C%5C%20And%5C%5CSin%5Calpha%3Dd%2FL%5C%5C%5C%5Calpha%20%3Dsin%5E%7B-1%7D%5B%5Cfrac%7Bmg%7D%7B2L%7D%281%2Fk_%7B1%7D-1%2Fk_%7B2%7D%29%5D%5C%5C%5Calpha%20%20%20%3Dsin%5E%7B-1%7D%5B%5Cfrac%7B%281.5kg%29%289.8m%2Fs%5E%7B2%7D%20%29%7D%7B2%280.80m%29%7D%281%2F35Nm-1%2F56Nm%29%20%5D%5C%5C%5Calpha%20%3D5.65%5E%7Bo%7D)
θ=5.65°
Its mass, I suppose. Unless the balloon explodes.
Relative age is the age of a rock layer (or the fossils it contains) compared to other layers. It can be determined by looking at the position of rock layers. Absolute age is the numeric age of a layer of rocks or fossils. Absolute age can be determined by using radiometric dating.
<h2>Arch Carries the thrust of Weight - Option D</h2>
An arch carries the thrust of weight to its sides. With a post-and-lintel, the horizontal part of the structure supports all the weight above it. The reason is that the post and lintel is a system of construction. In this the powerful parallel components are kept up by powerful upward components that has large cavities between them.
Therefore, an arch carries the thrust of weight to its sides for balancing purposes.
The answer is 25.37 hope this helps
