Problem 9: A proton is shot straight at a fixed, stationary point charge, Q. At its initial distance of 12cm from Q, the proton has a speed of 2.8 x 10°m/s; when it reaches a distance of 2.5cm from Q the proton's speed is 1.5 x 10°m/s. The proton's mass is 1.673 × 10-2"kg and its charge is 1.602 × 10-19C. What is Q? (A) +102.6 × 10-9 C (В) —102.6 х 10-9 С (C) +67.2 × 10-9 C (D) —67.2 х 10-9 С (E) –205.1 × 10-9 C
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- A fixed positive point charge q1= 12.0x10-5 C is held at the origin on the x axis. A very small sphere mass of 0.007kg and positive charge q2= 4.0x10-5 C is released from rest at a distance of 0.3m from q1 as shown. What is its speed when it reaches point A which is 0.8m from the origin?A point charge q1 = +5.00 μCoul is held in fixed space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00*10^-3 kg and charge q2 = +2.00 μCoul is fired toward the fixed charge with an initial speed of 50.0 m/s. Gravity can be neglected. What is the distance between the two charges when the speed of the moving charge q2 is 20.0 m/s?Three point charges are positioned as follows: a positive charge +q = +lql is located on the x-axis at the point (b, 0) = position (1) (note: b = +lbl), a negative charge -2q = -l2ql is located on the x-axis at the point (-2b, 0) = position (2), and the third, a positive point charge +q/3 = +lq/3l is located at the point (-2/3b, -1/3b) = position (3). What is the symbolic expression for the electric field at the origin due to this system of point charges, in terms of ke, q and b and what is the magnitude of the electric field at the origin? To answer this question, please go through the following steps:
- A small metal sphere, carrying a net charge of qt= +7.5 mC, is held in a stationary position by insulating supports. A second small metal sphere, with net charge of 2' +3 mC and mass 2 g is projected toward q . When two spheres are 0.8 m apart, sa is moving toward qt with speed 22.0 mls, see Figure. Assume that the two spheres can be treated as point charges. Neglect the force of gravity. a) What is the speed ofqt when the spheres are 0.5 m apart† How close can q2 approach to q1 ?A charge Q= 3nC is uniformly distributed over a ring of radius a = 6 cm. An electron is released from rest at point C, which is 8 cm away from the center O of the ring. Find the speed (in 10° m/s) of the electron as it passes through point O. Hint: me = 9.11x10-3 kg.A point charge q₁ = 5.00 μC is held fixed in space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00 x 10 kg and charge q2 = +2.00 μC is fired toward the fixed charge with an initial speed of 44.0 m/s. Gravity can be neglected.
- 4Two point charges are placed on the x axis as shown in ( Figure 1). The first charge, q1 8.00 nC, is placed a = distance 16.0 m from the origin along the positive x axis; the second charge, q2 = 6.00 nC, is placed a distance 9.00 m from the origin along the negative x axis. Figure 92 = 6 nc (-9 m, 0 m) 0 (0 m, 0 m) Find the x-component of the electric field at the origin, point O. Express your answer in newtons per coulomb to three significant figures, keeping in mind that an x component that points to the right is positive. ► View Available Hint(s) Eox = Submit Part B [G ΑΣΦΑ+ VE ? N/C Now, assume that charge q2 is negative; q2 = -6 nC, as shown in (Figure 2). What is the x-component of the net electric field at the origin, point O? Express your answer in newtons per coulomb to three significant figures, keeping in mind that an x component that points to the right is positive. ► View Available Hint(s)A small, charged particle of mass 4.30 x 10-8g and charge +1.92 x 10-13C is sent toward a large fixed, flat sheet (0.50m x 0.50m) of metal that has a net charge of 1.33 x 10-6C. If the particle is moving with a speed of 18m/s when it is 8.00cm away from the sheet, does the particle strike the sheet? If so, what is the particle’s speed just before hitting the sheet? If the particle does not strike the sheet, what is its closest distance to the sheet?
- Two negative charges, each with a charge of -7.7 nC, are at fixed locations as shown below. A proton is launched from the midpoint of the line joining the charges in a direction perpendicular to the line joining the charges. Find the minimum initial velocity of the proton that will allow it to escape to infinity. Ignore gravitational or any other influences on the proton. (k=1/480 = 8.99 × 109 Nm²/C2, e = 1.60 × 10-19 C, mproton = 1.67× 10-27 kg). [Hint: Conservation of energy might be helpful and you can assume that the proton is at rest at infinity] 5.0 mm 5.0 mm V 8.9 × 106 m/s 1.8 × 107 m/s None of these 4.6 × 106 m/s 2.3 × 106 m/sThree point charges are located on the x-axis at the following positions: Q1 = +7.00 µC is at x = 1.00 m, Q2 = +3.00 µC is at x = 0.00, and Q3 = -5.00 µC is at x = -3.00 m. What is the magnitude of the electric force on Q3? (k = 1/4TE0 = 9.0 x 10^9 N. %3D m2/C2)A particle possessing ?=9.25 μCq=9.25 μC of charge and a mass of ?=4.55 gm=4.55 g is fired at a speed of ?=357 cm/sv=357 cm/s between two horizontal charged plates of length ?=44.7 cm. Assume that the electric field between the plates is uniform and has a constant value of ?=965 N/C,E=965 N/C, directed upwards. Calculate the distance ?y by which the charge falls below a straight‑line path when it reaches the end of the plates. Assume a gravitational acceleration of ?=9.81m/s2.