As shown above, a 15 kg block on a table is being acted on by a force, F→1. The velocity of the block is CONSTANT, NON-ZERO, & PARALLEL TO F1 the entire time F→1 acts on it. Determine the weight (FG) of the block, the normal force (FN) the table is exerting on the block, & the kinetic friction (Fk) between the block & the table. F1 = 12 N. Ignore air drag. State the proper mks units with each answer. FG = Choose Direction FN = Choose Direction Fk = Choose Direction
Three charged spheres, each of mass m = 0.010 kg, hang from three strings, as shown. The spheres have the charge polarity shown. a. For one of the positive charges, solve for the string tension. (ans: 0.104 N) b. All the spheres have an identical magnitude of charge. Determine the value of q on the spheres. (ans: 0.690 μC)
The figure shows a spherical shell with uniform volume charge density ρ = 2.02 nC/m3, inner radius a = 8.00 cm, and outer radius b = 3.6a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b? (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units (f) Number Units
In the figure a nonconducting spherical shell of inner radius a = 2.05 cm and outer radius b = 2.56 cm has (within its thickness) a positive volume charge density ρ = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q = 48.0 fC is located at that center. What value should A have if the electric field in the shell (a ≤ r ≤ b) is to be uniform? Number Units
An automobile travels on a straight road for 13 km at 35 km/h. It then continues in the same direction for another 13 km at 70 km/h. (a) What is the average velocity of the car during this 26 km trip? (Assume that it moves in the positive x direction.) (b) What is the average speed? (a) Number Units (b) Number Units
The mysterious visitor that appears in the enchanting story The Little Prince was said to come from a planet that "was scarcely any larger than a house!" Assume that the mass per unit volume of the planet is about that of Earth and that the planet does not appreciably spin. Take the diameter of the planet to be 17 m. Approximate (a) the free-fall acceleration on the planet's surface and (b) the escape speed from the planet. (a) Number Units (b) Number Units
As shown above, a 2 kg block on a table is being acted on by a force, F→1, and is moving to the left. The block has an acceleration of 6 m/s2 left. Determine the weight (FG) of the block, the normal force (FN) the table is exerting on the block, the kinetic friction (FK) between the block & the table, & the coefficient of kinetic friction (μK)⋅ F1 = 22 N. Ignore air drag. State the proper mks units with each answer. FG = Choose Direction FN = Choose Direction FK = Choose Direction μK =
In the figure a solid sphere of radius a = 2.30 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net uniform charge q1 = +5.88 fC; the shell has a net charge q2 = −q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell?
You walk in the direction of the unit vector ⟨1, 0, 0⟩ a distance of 24 m at a constant speed of 3.0 m/s, then turn and walk in the direction of the unit vector ⟨1, 0, 1⟩/2 a distance of 19 m at a constant speed of 2.0 m/s. What was your average velocity? average velocity = ⟨ ⟩ m/s
An electric dipole consists of a particle with a charge of +6×10−6 C at the origin and a particle with a charge of −6×10−6 C on the × axis at x = 3×10−3 m. Its dipole moment is: 1.8×10−8 C⋅m, in the positive x direction 1.8×10−8 C⋅m, in the negative x direction 0 C⋅m, because the net charge is 0 1.8×10−8 C⋅m, in the positive y direction 1.8×10−8 C⋅m, in the negative y direction
The mass of an asteroid is 5.9×1018 kg and its radius is 41 km. What is the value of the constant g on this asteroid? g = N/kg
A block of weight W = 200 N on an incline of 20∘ with respect to the horizontal direction is subjected to a constant force P that is inclined by an angle of 30∘ with respect to the horizontal direction, as shown in Figure 3. The coefficients of static and kinetic friction between the block and the incline are μs = 0.30 and μk = 0.20, respectively. a) Draw a free body diagram of the block and find the maximum force P = Pmax that can be applied before the block starts to slide up the incline. Find the normal force N exerted by the incline on the block when P = Pmax . b) For a force P = 500 N, draw a free body diagram of the block and find its (constant) acceleration a up the incline. c) If the block starts from rest at time t = 0 when the force P = 500 N is first applied to the block, find the speed v = v(t) of block and the distance s = s(t) it travels up the incline at any time t. Figure 3
A block of mass m slides on a frictionless table with velocity v. At x = 0, it encounters a frictionless ramp of mass m/2 which is sitting at rest on the frictionless table. The block slides up the ramp, reaches maximum height, and slides back down. What is the velocity of the block when it reaches its maximum height? How high above the frictionless table does the block rise? What are the final velocities of the block and the ramp?
A piece of silver whose mass is 10.8 g is immersed in 20.4 g of water. The system is heated electrically from 24.0 to 37.6∘C. How many joules of energy are absorbed by the silver? J How many joules of energy are absorbed by the water? J
A thin, long rod of length 13.0 m lies along the x axis with its center at the origin. The total charge on the rod is −285 μC. (a) What is the net electric field at the location (0, 40.5 m)? (Express your answer in vector form.) E→rod = N/C (b) To see how the value of the electric field changes if y ≫ L, determine the net electric field at the location (0, 405 m). (Express your answer in vector form.) E→rod = N/C
Consider the following figure. (If you need to use ∞0 or −∞, enter INFINITY or -INFINITY, respectively.) (a) Find the total electric field in N/C at x = 1.00 cm in part (b) of the figure above given that q = 1.00 μC. N/C (b) Find the total electric field in N/C at x = 11.10 cm in part (b) of the figure above. (Include the sign of the value in your answer.) N/C (c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there be a single charge, double charge, etc., and what will its value(s) be? Use the following as necessary: q.)