Answer:
or 0.07163 T into the page
Explanation:
m = Mass of particle = 10 g
a = Acceleration due to gravity = -9.8j m/s²
v = Velocity of particle = 19i km/s
q = Charge of particle = 72 μC
B = Magnetic field
Here the magnetic and gravitational forces on the particle are applied in the opposite direction so,
![F_b=F_g](https://tex.z-dn.net/?f=F_b%3DF_g)
![F_b=qvBsin\theta\\\Rightarrow F_b=qvBsin90\\\Rightarrow F_b=72\times 10^{-6}\times 19000B](https://tex.z-dn.net/?f=F_b%3DqvBsin%5Ctheta%5C%5C%5CRightarrow%20F_b%3DqvBsin90%5C%5C%5CRightarrow%20F_b%3D72%5Ctimes%2010%5E%7B-6%7D%5Ctimes%2019000B)
![F_g=ma\\\Rightarrow F_g=0.01\times -9.8](https://tex.z-dn.net/?f=F_g%3Dma%5C%5C%5CRightarrow%20F_g%3D0.01%5Ctimes%20-9.8)
![72\times 10^{-6}\times 19000B=0.01\times -9.8\\\Rightarrow B=\frac{0.01\times -9.8}{72\times 10^{-6}\times 19000}\\\Rightarrow B=-0.07163\hat k\ T](https://tex.z-dn.net/?f=72%5Ctimes%2010%5E%7B-6%7D%5Ctimes%2019000B%3D0.01%5Ctimes%20-9.8%5C%5C%5CRightarrow%20B%3D%5Cfrac%7B0.01%5Ctimes%20-9.8%7D%7B72%5Ctimes%2010%5E%7B-6%7D%5Ctimes%2019000%7D%5C%5C%5CRightarrow%20B%3D-0.07163%5Chat%20k%5C%20T)
The magnetic field is 0.07163 T into the page
Answer:
Explanation:
An object falling loses gravitational potential energy and gains kinetic energy. The gravity potential is the gravitational potential energy per unit mass. This energy comes from the gravitational potential energy released when the water falls. ... At 0, all the energy is in gravitational potential energy.
Answer:
17,947.02 Hz
Explanation:
length (L) = 62 cm = 0.62 m
tension (T) = 70 N
mass per unit length (μ) = 0.10000 g/cm = 0.010000 kg/m
maximum frequency = 18,000 Hz
f = ![\frac{n}{2L} x \sqrt{\frac{T}{μ}}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2L%7D%20x%20%5Csqrt%7B%5Cfrac%7BT%7D%7B%CE%BC%7D%7D%20)
f = ![\frac{n}{2 x 0.62} x \sqrt{\frac{70}{0.01} }](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%20x%200.62%7D%20x%20%5Csqrt%7B%5Cfrac%7B70%7D%7B0.01%7D%20%7D)
f = n x 67.47
18,000 = n x 67.47
n = 266.8≈ 266
the 267th overtone is the highest overtone that can be heard by this person, and its frequency would be 26 x 67.47 = 17,947.02 Hz
Sample Response: "No, steel and carbon would not form metallic bonds because metallic bonds only form between metals. Iron is a metal, but carbon is not."
Answer:
The Magnifying power of a telescope is ![M = 109.26](https://tex.z-dn.net/?f=M%20%3D%20109.26)
Explanation:
Radius of curvature R = 5.9 m = 590 cm
focal length of objective
= ![\frac{R}{2}](https://tex.z-dn.net/?f=%5Cfrac%7BR%7D%7B2%7D)
⇒
= ![\frac{590}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B590%7D%7B2%7D)
⇒
= 295 cm
Focal length of eyepiece
= 2.7 cm
Magnifying power of a telescope is given by,
![M = \frac{f_{objective} }{f_{eyepiece} }](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7Bf_%7Bobjective%7D%20%7D%7Bf_%7Beyepiece%7D%20%7D)
![M = \frac{295}{2.7}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B295%7D%7B2.7%7D)
![M = 109.26](https://tex.z-dn.net/?f=M%20%3D%20109.26)
therefore the Magnifying power of a telescope is ![M = 109.26](https://tex.z-dn.net/?f=M%20%3D%20109.26)