Physics
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A point charge q = -2.80 μC has a fixed position. A tiny ball of mass 8.00 g is charged Q = -6.20 μC and shot toward the point charge. When the ball is 75 cm from the point charge, its speed is 17.0 m/s. What is the speed of the ball when it is 35 cm from the point charge? Treat the ball as a point charge and ignore weight.
In an attempt to merge two hydrogen ions into a single atom, the separation of the ions is changed slowly from 1.1 × 10-11 m to 2.0 × 10-15 m. a) Calculate the work done in changing the separation. b) The ions slip from rest and start moving away from each other. What's their speed when the separation is 1.1 × 10-11 m?
Two electrons have a separation of 1.20 nm. They are both released simultaneously such that they are free to move. Determine the greatest acceleration and specify when it is observed.
A linear particle accelerator accelerates two hydrogen ions to equal speeds toward each other. If the speed at infinite separation is 6.2 × 105 m/s, determine the greatest electric force the two ions will exert on each other.
A thin, straight metal rod is bent to form a shape as shown below. The metal rod is uniformly charged with a linear charge density of λ. Determine the electric potential at point O.
There are two point charges on the y-axis. One has a charge of -3.0 μC and is located 4.0 cm above the origin. The other has a charge of +5.0 μC and is located 7.0 cm above the origin. A third point charge with charge +4.0 μC is placed on the x-axis at a distance of 6.0 cm in the positive direction of the x-axis from the origin. What is the potential energy of this group of charges?
There are two charged particles on the x-axis. One has a charge of -5.0 nC and is located 2.0 cm to the right of the origin. The other has a charge of +10.0 nC and is located 5.0 cm to the right of the origin. What is the electric potential energy of the two charged particles?
Two point charges are on the x-axis: +2.0 μC at 4.0 cm and -3.0 μC at 8.0 cm from the origin. Place a third charge on the y-axis 6.0 cm from the origin. Find the value of this charge to make the total electric potential energy of the system zero.
Consider a hollow cylindrical shell constructed from PVC (Polyvinyl Chloride) plastic. The shell has a length L and a diameter D. This shell carries a total charge Q, distributed uniformly along the entire cylinder length. Determine the electric potential at the central point within this cylindrical shell.
Two parallel metal plates are separated by a distance of 5.0 mm and have a potential difference of 100 V applied across them. A charged particle with a charge of +2.0 μC and mass of 1.25 x 10-13 kg is released from rest at the positive plate. What is the velocity of the particle just before it hits the negative plate?
Consider a scenario in which a uniformly charged sphere of radius R has a total charge of Q. The potential difference ΔV between the potential at the sphere's center V0 and a point at radius r from the center is: ΔV = -Q / (4πεoR3) • (r2 /2). Determine the what the ratio Vo / VR will be, where VR represents the potential at the sphere's surface.
In the proximity of a uniformly charged sphere, the electric potential at point S is determined to be 60 V. Moving 3.0 μm away from point S to point T; the potential has decreased by 0.24 mV. Determine the distance between point S and the center of the sphere.
Calculate the potential difference between two points on the y-axis at -3 cm and 4 cm if you're at a science museum where a uniform electric field is demonstrated with a strength of Ē = (10,000î-40,000ĵ) V/m.
Sarah has a small sphere with a charge of -4.0 nC, and Alex has another small sphere with a charge of +5.0 nC. Sarah's sphere is at y= -8.0 cm, while Alex's sphere is at y=14.0 cm on the y-axis. On the x-axis, at what points does the electric potential become zero?