A charged particle moving in a magnetic field experiences a force equal to:
![\vec{F}=q\vec{v}\times \vec{B}](https://tex.z-dn.net/?f=%5Cvec%7BF%7D%3Dq%5Cvec%7Bv%7D%5Ctimes%20%5Cvec%7BB%7D)
Thus, the magnitude of the force that the proton experiences is given by:
![F=qvBsin\theta](https://tex.z-dn.net/?f=F%3DqvBsin%5Ctheta)
The magnetic field is perpendicular to the proton's velocity, therefore, we have
. Replacing the given values, we obtain:
![F=1.6*10^{-19}C(300\frac{m}{s})(1T)sin(90^\circ)\\F=4.8*10^{-17}N](https://tex.z-dn.net/?f=F%3D1.6%2A10%5E%7B-19%7DC%28300%5Cfrac%7Bm%7D%7Bs%7D%29%281T%29sin%2890%5E%5Ccirc%29%5C%5CF%3D4.8%2A10%5E%7B-17%7DN)
Answer:
The maximum height above the point of release is 11.653 m.
Explanation:
Given that,
Mass of block = 0.221 kg
Spring constant k = 5365 N/m
Distance x = 0.097 m
We need to calculate the height
Using stored energy in spring
...(I)
Using gravitational potential energy
....(II)
Using energy of conservation
![E_{i}=E_{f}](https://tex.z-dn.net/?f=E_%7Bi%7D%3DE_%7Bf%7D)
![U_{i}+U'_{i}=U_{f}+U'_{f}](https://tex.z-dn.net/?f=U_%7Bi%7D%2BU%27_%7Bi%7D%3DU_%7Bf%7D%2BU%27_%7Bf%7D)
![\dfrac{1}{2}kx^2+0=0+mgh](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dkx%5E2%2B0%3D0%2Bmgh)
![h=\dfrac{kx^2}{2mg}](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7Bkx%5E2%7D%7B2mg%7D)
Where, k = spring constant
m = mass of the block
x = distance
g = acceleration due to gravity
Put the value in the equation
![h=\dfrac{5365\times(0.097)^2}{2\times0.221\times9.8}](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7B5365%5Ctimes%280.097%29%5E2%7D%7B2%5Ctimes0.221%5Ctimes9.8%7D)
![h=11.653\ m](https://tex.z-dn.net/?f=h%3D11.653%5C%20m)
Hence, The maximum height above the point of release is 11.653 m.
Thermal energy from the coffee is transferred to the mug.
Answer:
Directly proportional: as one amount increases another amount increases at the ... The "constant of proportionality" is the value that relates the two amounts ... Example: y is directly proportional to x, and when x=3 then y=15. ... Speed and travel time are Inversely Proportional because the faster we go the shorter the time.
False its atmosphere, lithosphere, hydrosphere, and boisphere