Answer:
A VECTOR A IS DIRECTED ALONG THE NORTH DIRECTION ANOTHER VECTOR B IS DIRECTED IN THE SOUTH-EAST DIRECTION .THE RESULTANT CANNOT BE IN THE SAME DIRECTION
C. Three isotopes of the same element because the number of electrons and protons remain the same but the number of neutrons in the nucleus are different. This means that the isotopes have different masses to each other but the same chemical properties.
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Answer:
6.5e-4 m
Explanation:
We need to solve this question using law of conservation of energy
Energy at the bottom of the incline= energy at the point where the block will stop
Therefore, Energy at the bottom of the incline consists of the potential energy stored in spring and gravitational potential energy=![\frac{1}{2} kx^{2} +PE1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20kx%5E%7B2%7D%20%2BPE1)
Energy at the point where the block will stop consists of only gravitational potential energy=![PE2](https://tex.z-dn.net/?f=PE2)
Hence from Energy at the bottom of the incline= energy at the point where the block will stop
⇒![\frac{1}{2} kx^{2} +PE1=PE2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20kx%5E%7B2%7D%20%2BPE1%3DPE2)
⇒![PE2-PE1=\frac{1}{2} kx^{2}](https://tex.z-dn.net/?f=PE2-PE1%3D%5Cfrac%7B1%7D%7B2%7D%20kx%5E%7B2%7D)
Also ![PE2-PE2=mgh](https://tex.z-dn.net/?f=PE2-PE2%3Dmgh)
where
is the mass of block
is acceleration due to gravity=9.8 m/s
is the difference in height between two positions
⇒![mgh=\frac{1}{2} kx^{2}](https://tex.z-dn.net/?f=mgh%3D%5Cfrac%7B1%7D%7B2%7D%20kx%5E%7B2%7D)
Given m=2100kg
k=22N/cm=2200N/m
x=11cm=0.11 m
∴![2100*9.8*h=\frac{1}{2}*2200*0.11^{2}](https://tex.z-dn.net/?f=2100%2A9.8%2Ah%3D%5Cfrac%7B1%7D%7B2%7D%2A2200%2A0.11%5E%7B2%7D)
⇒![20580*h=13.31](https://tex.z-dn.net/?f=20580%2Ah%3D13.31)
⇒![h=\frac{13.31}{20580}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B13.31%7D%7B20580%7D)
⇒h=0.0006467m=![6.5e-4](https://tex.z-dn.net/?f=6.5e-4)