Answer:
6.5 x 10^32 eV
Explanation:
mass of particle, mo = 1 g = 0.001 kg
velocity of particle, v = half of velocity of light = c / 2
c = 3 x 10^8 m/s
Energy associated to the particle
E = γ mo c^2
![E=\frac{m_{0}c^}2}{\sqrt{1-\frac{v^{2}}{c^{2}}}}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7Bm_%7B0%7Dc%5E%7D2%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E%7B2%7D%7D%7Bc%5E%7B2%7D%7D%7D%7D)
![E=\frac{m_{0}c^}2}{\sqrt{1-\frac{c^{2}}{4c^{2}}}}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7Bm_%7B0%7Dc%5E%7D2%7D%7B%5Csqrt%7B1-%5Cfrac%7Bc%5E%7B2%7D%7D%7B4c%5E%7B2%7D%7D%7D%7D)
![E=\frac{2m_{0}c^}2}{\sqrt{3}}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B2m_%7B0%7Dc%5E%7D2%7D%7B%5Csqrt%7B3%7D%7D)
![E=\frac{2\times0.001\times9\times10^{16}}{1.732}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B2%5Ctimes0.001%5Ctimes9%5Ctimes10%5E%7B16%7D%7D%7B1.732%7D)
![E=1.04\times10^{14}J](https://tex.z-dn.net/?f=E%3D1.04%5Ctimes10%5E%7B14%7DJ)
Convert Joule into eV
1 eV = 1.6 x 10^-19 J
So, ![E=\frac{1.04\times10^{14}}{1.6\times10^{-19}}=6.5\times10^{32}eV](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1.04%5Ctimes10%5E%7B14%7D%7D%7B1.6%5Ctimes10%5E%7B-19%7D%7D%3D6.5%5Ctimes10%5E%7B32%7DeV)
A dwarf planet is a small celestial body resembling a planet, but lacks necessary things to be a planet
The answer is D. time really does pass more slowly in a rest frame of reference relative to a frame of reference that is moving
What is the longest the bolt can be and still be acceptable
By Considering the vertical distance and both vertical and horizontal final velocity, the time t = 0.45 s and Velocity V = 6.7 m/s
Given that a Veggie meatball with v = 5.0 m/s rolls off a 1.0 m high table.
Height h = 1.0 m
As the ball rolls off the table, it will be fallen under gravity. Where
g = 9.8 m/![s^{2}](https://tex.z-dn.net/?f=s%5E%7B2%7D)
Initial vertical velocity
= 0
Initial horizontal velocity
= 5 m/s
Considering the vertical distance, the formula to use to calculate the time will be;
h = ut + 1/2g![t^{2}](https://tex.z-dn.net/?f=t%5E%7B2%7D)
1 = 0 + 1/2 x 9.8![t^{2}](https://tex.z-dn.net/?f=t%5E%7B2%7D)
1 = 4.9![t^{2}](https://tex.z-dn.net/?f=t%5E%7B2%7D)
= 1/4.9
t = ![\sqrt{0.204}](https://tex.z-dn.net/?f=%5Csqrt%7B0.204%7D)
t = 0.45 seconds
It takes 0.45 seconds to hit the floor if no one sneezes.
To calculate its velocity when it hits the floor, we will need to calculate for both vertical and horizontal final velocity and find the resultant velocity of the two.
Vertical component
=
+ gt
= 0 + 9.8(0.45)
= 4.41 m/s
Horizontal component
=
+ at
but a = 0
= 5 m/s
Final velocity V = ![\sqrt{5^{2} + 4.41^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B5%5E%7B2%7D%20%2B%204.41%5E%7B2%7D%20%20%7D)
V = 6.67 m/s
Therefore, it will hit the floor at a velocity of 6.7 m/s
Learn more here: brainly.com/question/5063616