Our year would now be 2.8 times longer, we would also be receiving only 1/4 of the energy from the sun that we currently do. This means that we’d now be out beyond the orbit of Mars and right at the edge of the asteroid belt, and things would rapidly get very cold with temperatures expected to drop by around 50 degrees Celsius on average, and that’s with our current atmospheric composition which would not be stable in the new conditions. And also, any living thing on earth would die.
a direction perpendicular to the direction of propagation of the wave, it is called a transverse wave.
Explanation:
It is given that,
Magnitude of charge, ![q=15\ \mu C=15\times 10^{-6}\ C](https://tex.z-dn.net/?f=q%3D15%5C%20%5Cmu%20C%3D15%5Ctimes%2010%5E%7B-6%7D%5C%20C)
It moves in northeast direction with a speed of 5 m/s, 25 degrees East of a magnetic field.
Magnetic field, ![B=0.08\ j](https://tex.z-dn.net/?f=B%3D0.08%5C%20j)
Velocity, ![v=(5\ cos25)i+(5\ sin25)j](https://tex.z-dn.net/?f=v%3D%285%5C%20cos25%29i%2B%285%5C%20sin25%29j)
![v=[(4.53)i+(2.11)j]\ m/s](https://tex.z-dn.net/?f=v%3D%5B%284.53%29i%2B%282.11%29j%5D%5C%20m%2Fs)
We need to find the magnitude of force on the charge. Magnetic force is given by :
![F=q(v\times B)](https://tex.z-dn.net/?f=F%3Dq%28v%5Ctimes%20B%29)
![F=15\times 10^{-6}[(4.53i+2.11j)\times 0.08\ j]](https://tex.z-dn.net/?f=F%3D15%5Ctimes%2010%5E%7B-6%7D%5B%284.53i%2B2.11j%29%5Ctimes%200.08%5C%20j%5D)
<em>Since</em>, ![i\times j=k\ and\ j\times j=0](https://tex.z-dn.net/?f=i%5Ctimes%20j%3Dk%5C%20and%5C%20j%5Ctimes%20j%3D0)
![F=15\times 10^{-6}[(4.53i)\times (0.08)\ j]](https://tex.z-dn.net/?f=F%3D15%5Ctimes%2010%5E%7B-6%7D%5B%284.53i%29%5Ctimes%20%280.08%29%5C%20j%5D)
![F=0.00000543\ kN](https://tex.z-dn.net/?f=F%3D0.00000543%5C%20kN)
![F=5.43\times 10^{-6}\ kN](https://tex.z-dn.net/?f=F%3D5.43%5Ctimes%2010%5E%7B-6%7D%5C%20kN)
So, the force acting on the charge is
and is moving in positive z axis. Hence, this is the required solution.
Explanation:
100 CM = 1 m
45 CM = 45 / 100 = 0.45 m
hope it helps:)