The local charging of the comb is due to induction. The negative object's charge pushes electrons in the comb away from the side close to the charged object causing that part to be positively charged. Note that the comb's net charge is still zero provided it doesn't touch the object. When you move the comb away its electrons will redistribute.
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:
1) Newton's first law of motion states an object will remain at rest or in uniform will be in uniform motion in a straight line unless a force acts on it
2) Newton's second law states the acceleration of an object is directly proportional to the applied force acting on an object and inversely proportional to the mass of the object
Explanation:
1) With Newton's first law, we are able arrange things within a space and schedule meetings in time knowing that they will remain in place unless an external force changes their positions
2) An example of Newton's second law of motion is that small objects such as a ball are easily accelerated and can be given appreciable acceleration for flight by single, one time contact (such as kicking the ball) while larger objects such as a rock require sustained force application to change their location.