(a) A physics lab instructor is working on a new demonstration. She attaches two identical conducting globes with mass m = 0.180 g to cords of length L as shown in the figure. L. Both globes have the same charge of 6.80 nC, and are in static equilibrium when 0 = 5.05°, What is L (in m)? Assume the cords are massless. m (b) What If? The charge on both globes is increased until each cord makes an angle of 0 = 10.1° with the vertical. If both globes have the same electric charge, what is the charge (in nC) on each globe in this case? nc
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- In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 x 10-2 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very far from a stationary gold nucleus, is fired with a velocity of 1.41 x 107 m/s directly toward the nucleus (charge +79e). What is the smallest distance between the alpha particle and the nucleus before the alpha particle reverses direction? Assume the gold nucleus remains stationary. fmIn 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 x 10-27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very far from a stationary gold nucleus, is fired with a velocity of 2.98 × 107 m/s directly toward the nucleus (charge +79e). What is the smallest distance between the alpha particle and the nucleus before the alpha particle reverses direction? Assume the gold nucleus remains stationary. fm11:09 d G M O 图“ Ritesh Sah 2. A uniform rod of length L lies on the x-axis as shown. The rod has a net charge of Q that is uniformly spread alongits length. Q=+5.00e-9 C L= 5.00 meters A uniformly charged rod of length L on the x-axis. Point P is at (5,2) meters on the x,y plane. Use the methods shown in class to: • Calculate the magnitude/size of the electric field at point P due to the rod. Calculate the Trig Angle, measured counter-clockwise from the +x-axis in degrees, of the electric field at point P due to the rod.
- A 28 x 10-6 C point charge is held at rest within a uniform electric field of 840.0 N/C directed in the +x direction. If the charge is released from rest, what will its speed be after moving 0.73 m in the +x direction. Assume only the electric field force acts and that the mass of the charge is 3.00 x 10-7 kg.Two metal spheres of identical mass m = 4.60 g are suspended by light strings 0.500 m in length. The left-hand sphere carries a charge of 0.765 µC, and the right-hand sphere carries a charge of 1.47 μC. What is the equilibrium separation between the centers of the two spheres? 0.6078 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four- digit accuracy to minimize roundoff error. mIn the figure two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that is so small that tan 0 can be replaced by its approximate equal, sin 8. If L = 140 cm, m = 10 g, and x = 6.0 cm, what is the magnitude of q? L ᏀᎾ Ꮎ Number i L 9 0.0000009165 Units nC
- Two small balls, each of mass 3.0 g, are attached to silk threads 30 cm long, which are in turn tied to the same point on the ceiling, as shown in the figure. When the balls are given the same charge Q, the threads hang at 0 = 3.0° to the vertical. What is the magnitude of Q?For this physics II problem its saids a 4.00 g ping pong ball is suspended from a light thread and given an electric charge. The ball is then placed in a uniform electrci field of magnitude 110,00N/C which causes the ball to swing out to an angle of 23 degrees. What is the sign and magnitude of the charge on the ball? The ball is angled to the right. If you can break this down into step that would be great. Thanks!Three 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.)
- Two identical spheres are attached to silk threads of length L=0.60 m and hung from a common point as shown in the figure. Each sphere has a mass m=7.0 g. One sphere is given a charge q1, and the other is given a different charge q2, this causes the spheres to separate so that when the spheres are in equilibrium, each thread makes an angle = 20 degrees with the vertical. A small wire is then connected to the spheres, allowing charge to be transferred from one sphere to the other until the two spheres have equal charges, the wire is then removed. Each thread now makes an angle = 30 degrees. Determine the original charge (in micro-coulomb) of q1.We wish to calculate the value of eo. Two small metal conducting balls of mass m, each with charge q, are attached to massless strings of length L and suspended from the ceiling. Since the balls are both positively charged, they repel each other, and so at the ceiling the strings make an angle 0 with each other. In terms of m, q, L, 0, and g, what is eo?P10