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A uranium nucleus (mass 238 u, charge 92e) decays, emitting an alpha particle (mass 4 u, charge 2e) and leaving a thorium nucleus (mass 234 u, charge 90e). At the instant the alpha particle leaves the nucleus, the centers of the two are 4.5 fm apart and essentially at rest. Find their speeds when they're a great distance apart. Treat each particle as a spherical charge distribution. The answers of va and vTh should be in m/s.
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- A glass sphere with radius 4.00 mm, mass 85.0 g, and total charge 4.00 C is separated by 150.0 cm from a second glass sphere 2.00 mm in radius, with mass 300.0 g and total charge 5.00 C. The charge distribution on both spheres is uniform. If the spheres are released from rest, what is the speed of each sphere the instant before they collide?Review. Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and uniformly distributed charges 2.00 C and 3.00 C. They are released from rest when their centers are separated by 1.00 m. (a) How fast will each be moving when they collide? (b) What If? If the spheres were conductors, would the speeds be greater or less than those calculated in part (a)? Explain.Figure P24.17 shows a dipole (not drawn to scale). If the positive particle has a charge of 35.7 mC and the particles are 2.56 mm apart, what is the (approximate) electric field at point A located 2.00 m above the dipoles midpoint?
- (a) What is the electric field 5.00 m from die center of the terminal of a Van de Graaff with a 3.00-mC charge, noting that the field is equivalent to that of a point charge at the center of the terminal? (b) At this distance, what force does the field exert on a 2.00C charge on the Van de Graaff’s belt?In Figure P24.49, a charged particle of mass m = 4.00 g and charge q = 0.250 C is suspended in static equilibrium at the end of an insulating thread that hangs from a very long, charged, thin rod. The thread is 12.0 cm long and makes an angle of 35.0 with the vertical. Determine the linear charge density of the rod. FIGURE P24.49Question 1 a) In J. J. Thomson experiment (1897), an electron moving horizontally with a constant speed vo enters in between the horizontal plates of a capacitor. The electric field strength between the plates of length L and distance d, is E. The vertical deviation of the electron at the moment of exit from the field region is measured to be Y. Derive the expression giving the electron's charge to mass ratio, i.e. e/m to be 2v,Y/CEL). (Recall that Thomson received Nobel Prize for his achievement.) b) Calculate e/m, knowing the following data. E=1.6x10* Newton/Coulomb, L=10 cm, Y=2.9 cm, v=2.19x10* km/s. (Be careful to use coherent units.)
- An electron with initial velocity v passes between the K and L spheres, following the orbit in the figure. Since the electric charge of the K sphere is +q, what can be the charge of the L sphere?Two 2.0-mm diameter beads, C and D, are 12mm mm apart, measured between their centers. Bead C has mass 1.0 g and charge 2.5nC nC. Bead D has mass 1.7g g and charge -1.0 nC. If the beads are released from rest, what is the speed vC at the instant the beads collide? and What is the speed vD at the instant the beads collide?A small, stationary sphere carries a net charge Q. You perform the following experiment to measure Q: From a large distance you fire a small particle with mass 4×10^−4kgand charge 5×10^−8C directly at the center of the sphere. The apparatus you are using measures the particle's speed vas a function of the distance x from the sphere. The sphere's mass is much greater than the mass of the projectile particle, so you assume that the sphere remains at rest. All of the measured values of x are much larger than the radius of either object, so you treat both objects as point particles. You plot your data on a graph of v2 versus (1/x)(Figure 1). The straight-line v2=400 m^2/s^2−[(15.75 m^3/s^2)/x] gives a good fit to the data points. Part B What is the initial speed v0 of the particle when it is very far from the sphere?Express your answer to three significant figures and include the appropriate units. Part C What is Q?Express your answer to three significant figures and include the…
- A proton follows the path shown in (Figure 1). Its initial speed is v0 = 1.9×106 m/s. Figure 1 of 1The figure shows a proton, which has speed v 0 directed upward and is located 3.0 millimeters to the right from the negative charge of minus 10 nanocoulombs. Point P is located 4.0 millimeters above the negative charge. The trajectory of the proton passes through point P forming a convex curve. Part A What is the proton's speed as it passes through point P? Express your answer to two significant figures and include the appropriate units.What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.4 cm and a uniformly distributed charge of 1.2 ✕ 10−15 C. That is, what initial speed must the electron have to reach an infinite distance from the sphere and have zero kinetic energy when it gets there? _________________m/sA uranium nucleus (mass 238 u, charge 92e) decays, emitting an alpha particle (mass 4 u, charge 2e) and leaving a thorium nucleus (mass 234 u, charge 90e). At the instant the alpha particle leaves the nucleus, the centers of the two are 4.5 fm apart and essentially at rest. Find their speeds when they're a great distance apart. Treat each particle as a spherical charge distribution.