Star 1 - 4 hours right ascension
Star 2 - 3 hours right ascension
Subtracting hours right ascension
4 hours right ascension - 3 hours right ascension = 1 hours right ascension.
Thus,
star 1 will rise 1 hour before star 2
Answer:
a) v = 1.075*10^7 m/s
b) FB = 7.57*10^-12 N
c) r = 10.1 cm
Explanation:
(a) To find the speed of the alpha particle you use the following formula for the kinetic energy:
(1)
q: charge of the particle = 2e = 2(1.6*10^-19 C) = 3.2*10^-19 C
V: potential difference = 1.2*10^6 V
You replace the values of the parameters in the equation (1):
![K=(3.2*10^{-19}C)(1.2*10^6V)=3.84*10^{-13}J](https://tex.z-dn.net/?f=K%3D%283.2%2A10%5E%7B-19%7DC%29%281.2%2A10%5E6V%29%3D3.84%2A10%5E%7B-13%7DJ)
The kinetic energy of the particle is also:
(2)
m: mass of the particle = 6.64*10^⁻27 kg
You solve the last equation for v:
![v=\sqrt{\frac{2K}{m}}=\sqrt{\frac{2(3.84*10^{-13}J)}{6.64*10^{-27}kg}}\\\\v=1.075*10^7\frac{m}{s}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cfrac%7B2K%7D%7Bm%7D%7D%3D%5Csqrt%7B%5Cfrac%7B2%283.84%2A10%5E%7B-13%7DJ%29%7D%7B6.64%2A10%5E%7B-27%7Dkg%7D%7D%5C%5C%5C%5Cv%3D1.075%2A10%5E7%5Cfrac%7Bm%7D%7Bs%7D)
the sped of the alpha particle is 1.075*10^6 m/s
b) The magnetic force on the particle is given by:
![|F_B|=qvBsin(\theta)](https://tex.z-dn.net/?f=%7CF_B%7C%3DqvBsin%28%5Ctheta%29)
B: magnitude of the magnetic field = 2.2 T
The direction of the motion of the particle is perpendicular to the direction of the magnetic field. Then sinθ = 1
![|F_B|=(3.2*10^{-19}C)(1.075*10^6m/s)(2.2T)=7.57*10^{-12}N](https://tex.z-dn.net/?f=%7CF_B%7C%3D%283.2%2A10%5E%7B-19%7DC%29%281.075%2A10%5E6m%2Fs%29%282.2T%29%3D7.57%2A10%5E%7B-12%7DN)
the force exerted by the magnetic field on the particle is 7.57*10^-12 N
c) The particle describes a circumference with a radius given by:
![r=\frac{mv}{qB}=\frac{(6.64*10^{-27}kg)(1.075*10^7m/s)}{(3.2*10^{-19}C)(2.2T)}\\\\r=0.101m=10.1cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bmv%7D%7BqB%7D%3D%5Cfrac%7B%286.64%2A10%5E%7B-27%7Dkg%29%281.075%2A10%5E7m%2Fs%29%7D%7B%283.2%2A10%5E%7B-19%7DC%29%282.2T%29%7D%5C%5C%5C%5Cr%3D0.101m%3D10.1cm)
the radius of the trajectory of the electron is 10.1 cm
Answer: 10.58 C has flowed during the lightning bolt
Explanation:
Given that;
Time of flow t = 1.2 × 10⁻³
perpendicular distance r = 21 m
Magnetic field B = 8.4 x 10⁻⁵ T
Now lets consider the expression for magnetic field;
B = u₀I / 2πr
the current flow is;
I = ( B × 2πr ) / u₀
so we substitute
I = ( (8.4 x 10⁻⁵) × 2 × 3.14 × 21 ) / 4π ×10⁻⁷
= 0.01107792 / 0.000001256
= 8820 A
Hence the charge flows during lightning bolt will be;
q = It
so we substitute
q = 8820 × 1.2 × 10⁻³
q = 10.58 C
therefore 10.58 C has flowed during the lightning bolt
Answer:(-4,3)
Explanation: They didn’t show the whole graph so it looks confusing but it’s not.