Two fixed charges of magnitude q = +5μC each are located on the x-axis at x = 4 m and x = -4 m as shown in Figure. A charged particle of mass m = 100 g and charge Q = -1mC is placed on the y-axis at y = 3 m and is given an initial velocity vo = 25 m/s in the negative y-direction, see Figure. a) What is the velocity of the particle when it crosses the x-axis at point O? b) What is the velocity of the particle when it is very far away from the fixed charges at y = -00? q 3m 4m 20 10 4m
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- An alpha particle (charge of 2e) is sent at high speed toward a gold nucleus (charge 79e). What is the electric force acting on the alpha particle when it is 2.0 x 10-¹4 m away from the gold nucleus? O 14 N O 73 N O 21 N O 39 N O 91 NEach of two very long, straight rods carry opposite charges of 2.0x10^-6 C per meter. These rods are parallel to each other and separated 10 cm. Find the force (magnitude and direction) between them (use L >> r and assume uniform force per unit length. Can you use the simple equation F=QE ?). Would you be able to feel this force if the rods are 1 meter long?When point charges q1 = +8.7 μC and q2 = +6.8 μC are brought near each other, each experiences a repulsive force of magnitude 0.57 N. Determine the distance between the charges. Number i eTextbook and Media Units +
- Two point charges q1 and q2 are held in place 4.50 cm apart. Another point charge -1.95 μC of mass 5.50 gg is initially located 3.00 cm from each of these charges (the figure(Figure 1)) and released from rest. You observe that the initial acceleration of -1.95 μC is 314 m/s^2 upward, parallel to the line connecting the two point charges.What is the total energy stored in the following 3-charge system? 2 nC + 2 cm 2 cm -1 nC Ο 22.5 μ Ο 1.8 μ O -0.45 μJ O 0.45 W Ο -22.5 μ 2 cm + 1 nCA 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?
- A magnitude field of (0.004k) tesla exerts a force of (4î+31) × 10¯ 1ºN on a particle having charge of 1 × 10 °C and moving in x - y plane. The velocity of particle isTwo identical point charges (q= +2.20 x 106 C) are fixed at opposite corners of a square whose sides have a length of 0.450 m. A test charge (qo = -3.10 x 108 C), with a mass of 9.40 x 10-8 kg, is released from rest at one of the corners of the square. Determine the speed of the test charge when it reaches the center of the square. Number i Units VR ·90Three point particles, each with a mass m and a charge of +5.0 nC, are placed at the vertices of an equilateral trian- gle with side length l fixed in place, but the third experiences an acceleration of 8.0 cm. Two of the particles are 17.4 m/s? immediately after being released from rest. What is the mass m of each particle? (Suppose that the particles are located in outer space so that you can ignore the effects of gravity.)
- A particle 1 has a mass of 9.11 x 10^-31 kg and a charge of +1.60 x 10^-19 C. Suppose this particle 1 moves near a particle 2 that has a charge of +3.20 x 10^- 19 C and at all times remains at rest. When particle 1 is 1.4 x 10^-10 m away from particle 2, it is moving away with a speed of 3 x 10^6 m/s. What is the speed of particle 1 when it is a distance of 3.6 x 10^-10 m from particle 2? Answer in mm/s and with two decimal places.One particle has a mass of 4.97 x 10-3 kg and a charge of +6.41 µC. A second particle has a mass of 7.53 x 10-3 kg and the same charge. The two particles are initially held in place and then released. The particles fly apart, and when the separation between them is 0.175 m, the speed of the 4.97 x 10-3 kg-particle is 185 m/s. Find the initial separation between the particles. V2,B 92 I K 92 91 I KTA →→ 91 V1,BA particle with a mass of 3.65×10−24 kg and a charge of 6.40×10−19 C starts at rest and is accelerated for a distance of 0.0980 m through a uniform electric field having strength E = 7.25×104 N/C. What is the resulting speed of the particle?