A 2.6mm-diameter sphere is charged to -4.5nC. An electron fired directly at the sphere from far away comes to within 0.38mm of the surface of the target before being reflected. (A) What was the electron's initial speed? (B) At what distance from the surface of the sphere is the electron's speed half of its initial value? (C) What is the acceleration of the electron at its turning point?
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- A small drop of water is suspended motionless in air by a uniform electric field that is directed upward and has a magnitude of 8860 N/C. The mass of the water drop is 3.03 × 10-⁹ kg. How many excess electrons or protons reside on the drop?I mainly need help with limit check and unit check. I don't understand it like what is it asking and why?We have a charged half-ring with a radius of r= 18 cm and a linear charge density of of λ= 0.01 C/m. The centre of curvature of the half-ring is located at point O. How much work [in joules] does the electric field of the half-ring do when a charge of q= -7.9 μC is brought in from infinity to point O?
- A simple and common technique for accelerating electrons is shown in the figure below, where a uniform electric field is created between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to continue moving. (a) Calculate the acceleration of the electron if the field strength is 2.33 x 104 N/C. m/s? (b) Why will the electron not be pulled back to the positive plate once it moves through the hole? O The force of gravity is too strong. O There is no field outside the plates. O The other side of the positive plate also has a negative charge.An alpha particle (*He nucleus, charge +2e) starts from rest and accelerates over a distance of 1.0 cm in a uniform electric field of magnitude 25 kV/m. (a) What is the final kinetic energy (KE) of the alpha particle? (b) What is its final speed?An electron starts at rest at a distance d = 42.5 cm from from a fixed point charge Q -0.125 nC. How fast will the electron be moving when it is very far away from the charge? The electron charge is -e = -1.6 x 10-19 C, the electron mass is m= 9.11 x 10-31 kg
- From a distance of 10 cm, a proton is projected with a speed of v = 4.0 × 106 m/s directly at a large, positively charged plate whose charge density is o = 3.5 x 10-5 C/m². (See below.) -10 cm- 4.0 X 106 m/s (a) Does the proton reach the plate? O Yes No ++ ++ ++ ++ ++ ++ ++ ++ (b) If not, how far from the plate (in cm) does it turn around? (If the proton does reach the plate, enter zero.) X cmA proton is held at the positive plate parallel arrangement. The plates are 1.45 cm apart and the proton has a potential energyof 5.45 x 10^-18 Joules.a) What is the electric field strength?b) How much force is needed to hold the proton at the positive plate?c) If the proton is released, what will be its speed just before it strikes the negative plate?A small drop of water is suspended motionless in air by a uniform electric field that is directed upward and has a magnitude of 7010 N/C. The mass of the water drop is 4.36 × 10-9 kg. How many excess electrons or protons reside on the drop?
- Three identical particles have the same mass m and positive charge Q. They are initial at rest in the corners of an equalateral triangle with sides a. One particle is released, What is the speed of the moving charge when it is a large (aka infinity) distance from the other two?In Rutherford's famous scattering experiments (which led to the planetary model of the atom), alpha particles (having charges of +2e and masses of 6.64 x 10-27 kg) were fired toward a fixed gold nucleus with charge +79e. An alpha particle, initially very far from the gold nucleus, is fired at 1.6 x 107 m/s directly toward the gold nucleus, as in Figure P16.19. How close does the alpha particle get to the gold nucleus before turning around? Ze Figure P16.19Two horizontal parallel plates are separated by a distance of 174 mm creating an electric field of 23 μN/C directed north. An electron is place halfway between the two plates with and fired with initial velocity 58 m/s from the horizontal. Calculate the time it takes for the electron to land at the positive plate and its speed before hitting the plate. Provide an Illustration and answer in GRESA format.