Explanation:
Given that,
Length of the spring, l = 50 cm = 0.5 m
Mass connected to the end, m = 330 g = 0.33 kg
The mass is released and falls, stretching the spring by 30 cm before coming to rest at its lowest point. On applying Newton's second law, 10 cm below the release point, x = 15 cm
(a) When the mass is connected, the force of gravity is balanced by the force in spring.
![kx=mg\\\\k=\dfrac{mg}{x}\\\\k=\dfrac{0.33\times 9.8}{0.15}\\\\k=21.56\ N/m](https://tex.z-dn.net/?f=kx%3Dmg%5C%5C%5C%5Ck%3D%5Cdfrac%7Bmg%7D%7Bx%7D%5C%5C%5C%5Ck%3D%5Cdfrac%7B0.33%5Ctimes%209.8%7D%7B0.15%7D%5C%5C%5C%5Ck%3D21.56%5C%20N%2Fm)
(b) The amplitude of the oscillation will be 15 cm as it is half of the total distance travelled.
(c) The frequency of the oscillation is given by :
![f=\dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}} \\\\f=\dfrac{1}{2\pi}\sqrt{\dfrac{21.56}{0.33}} \\\\f=1.28\ Hz](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cdfrac%7Bk%7D%7Bm%7D%7D%20%5C%5C%5C%5Cf%3D%5Cdfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cdfrac%7B21.56%7D%7B0.33%7D%7D%20%5C%5C%5C%5Cf%3D1.28%5C%20Hz)
Hence, this is the required solution.
Answer;
D. The group number is equal to the number of valence electrons.
Explanation;
-The valence electrons are the electrons in the outer shell of an atom. The valence electrons are the ones involved in forming bonds to adjacent atoms. Therefore, the number of valence electrons is important for determining the number of bonds an atom will form, the number of unpaired electrons, and an atom’s formal charge.
-For neutral atoms, the number of valence electrons is equal to the atom’s main group number.
Number of valence electrons = main group number (neutral atoms)
-The main group number for an element can be found from its column on the periodic table. For example, carbon is in group 4 and has 4 valence electrons. Oxygen is in group 6 and has 6 valence electrons.
Answer:
The torque on the lever is 30.0 N m.
Explanation:
Torque is defined as tendency of a force to rotate a body around its axis. Mathematically written as:
![\tau=Force\times d\times \sin \theta](https://tex.z-dn.net/?f=%5Ctau%3DForce%5Ctimes%20d%5Ctimes%20%5Csin%20%5Ctheta)
Force applied on the lever arm at 90°= 15 N
Distance at which force is applied = d = 2.0 m
![\tau =15 N\times 2.0 m\times \sin 90^o= 30.0 N m](https://tex.z-dn.net/?f=%5Ctau%20%3D15%20N%5Ctimes%202.0%20m%5Ctimes%20%5Csin%2090%5Eo%3D%2030.0%20N%20m)
The torque on the lever is 30.0 N m.
The ray will not emerge into the air medium from glass medium.
To find the answer, we need to know about the critical angle.
<h3>What's critical angle of glass?</h3>
- Critical angle of a medium can be determined from the relation as sinФ = 1/n, n = refractive index of that medium.
- As glass has refractive index of 1.5, so Critical angle = sin⁻¹(1/1.5) = 42 °
<h3>Why does the light incident at 45° inside a glass not emerge to the air medium?</h3>
- As we got the critical angle of glass is 42°, so the light incident at 45° which is greater than 42° will reflect back into the glass medium instead of emergence into the air medium.
Thus, we can conclude that the light will not emerge into air medium.
Learn more about the critical angle here:
brainly.com/question/15009181
#SPJ4
Answer:
2.The air molecules that come in contact with the warm land and water molecules gain energy by conduction.
3.Tectonic Plates
Hope its helps❣️