2 protons accelerated towards each other. Find max Electrical Force between them

Hello, The problem is stated as follows: Two protons are aimed directly toward each other by a cyclotron accelerator with speeds of 1500 km/s, measured relative to the earth. Find the maximum electrical force that these protons will exert on each other. Use 8.85*10^-12 F/m for the permitivity of free space, 1.60 *10^-19 C for the charge on an electron, and 1.67*10^-27 kg for the mass of the proton. I have tried using the conservation of energy, where initial Kinetic Energy is equal to 1/2mv^2 and set this equal to the Potential Energy that exists when the protons are stopped due to repulsive forces. I then try to solve for r. Then I think this could be plugged back into find t... click for more

3 spheres in a row are released from rest: find the acceleration and velocity of spheres at different points

Hello, The problem states: Three small spheres with charge 2.00 mC are arranged in a line, with sphere 2 in the middle. Adjacent spheres are initially 8.0 cm apart. The spheres have masses m_1 = 20.0 g, m_2 = 85.0 g, and m_3 = 20.0 g. Their radii are much smaller than their seperation. The three spheres are released from rest. It asks to: 1. Find the acceleration of sphere 1 just after it is released? 2. What is the speed of sphere 1 when the spheres are far apart? 3. What is the speed of sphere 2 when the speres are far apart? 4. What is the speed of sphere 3 when the spheres are far apart? I understand that it is again a conservation of energy problem. I can ca... click for more

Force on a charged sphere hanging in between two parallel plates held at a potential difference

A small sphere with mass 1.10 g hangs by a thread between two large parallel vertical plates 5.00 cm apart (see the diagram in the attached file). The plates are insulating and have uniform surface charge densities +σ and -σ. The charge on the sphere is q = 8.60 * 10-6 C. What potential difference between the plates will cause the thread to assume an angle of 30.0 degrees with the vertical?

3 spheres in a row are released from rest: find the acceleration and velocity of spheres at different points

How exactly do I solve for the speeds of spheres 1 and 3? And how do I find the acceleration of sphere 1 just after it is released from rest? Thank you. The problem states: Three small spheres with charge 2.00 mC are arranged in a line, with sphere 2 in the middle. Adjacent spheres are initially 8.0 cm apart. The spheres have masses m_1 = 20.0 g, m_2 = 85.0 g, and m_3 = 20.0 g. Their radii are much smaller than their seperation. The three spheres are released from rest. It asks to: 1. Find the acceleration of sphere 1 just after it is released? 2. What is the speed of sphere 1 when the spheres are far apart? 3. What is the speed of sphere 2 when the speres are far a... click for more

Final position of an electron moving at velocity

Hello, The problem states: An electron is ejected through a cathode ray tube with an initial speed of v_0 = 6.90*10^6 m/s. It is projected along the axis midway between the deflection plates of a cathode ray tube. The uniform electric field between the plates has a magnitude of 1300 V/m and is upward. Take the following values for the dimensions labeled in the figure: d = 0.02 m w = 0.06 m l = 0.12 m a)It asks to find the magnitude of the force on the electron that is between the plates. I got: F = q*E = 2.08*10^-16 N b) It asks the direction of this force. I said downwards. c) It asks to find the magnitude of the acceleration of the electron when acted on ... click for more