A particle with a mass of 3.4×10−20 kg is oscillating with simple harmonic motion with a period of 3.8×10−5 s and a maximum speed of 2.2×103 m/s. Calculate (a) the angular frequency and (b) the maximum displacement of the particle. (a) Number Units (b) Number Units
The figure shows cross-sections through two large, parallel, nonconducting sheets with identical distributions of positive charge with surface charge density σ = 1.58×10−22 C/m2. What is the y component of the electric field at points (a) above the sheets, (b) between them, and (c) below them? (a) Number Units (b) Number Units (c) Number Units
An infinite non-conducting sheet has a uniform charge density sigma-1. The sheet lies in a yz-plane. sigma-1 = +5.00E−09 coulombs per square meter What is the size of the SI electric field +6.00 cm to the right of the sheet?
A thin metallic spherical shell of radius 41.6 cm has a total charge of 8.45 μC uniformly distributed on it. At the center of the shell is placed a point charge of 3.73 μC. What is the magnitude of the electric field at a distance of 13.9 cm from the center of the spherical shell? E = N/C What is the direction of the electric field? directionless inward outward
A stake is being pulled out of the ground by means of two ropes as shown. Knowing that the tension in one rope is 120 N, determine by trigonometry the magnitude and direction of the force P so that the resultant is a vertical force of 150 N. The magnitude of the force P is N and the direction is.
The figure shows two concentric rings, of radii R and R′ = 2.61R, that lie on the same plane. Point P lies on the central z axis, at distance D = 2.60R from the center of the rings. The smaller ring has uniformly distributed charge Q = 5.00×10−6 C. What is the uniformly distributed charge on the larger ring if the net electric field at P is zero? Number Units
The figure shows a section of a long, thin-walled metal tube of radius R = 5.08 cm, with a charge per unit length λ = 1.03×10−8 C/m. What is the magnitude E of the electric field at radial distance (a) r = 1.68 cm and (b) r = 7.35 cm. (a) Number Units (b) Number Units
In the figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 44.4 N. If m5 = 12.6 kg, m2 = 20.2 kg. and m3 = 38.8 kg. calculate (a) the magnitude of the system's acceleration, (b) the tension T1, and (c) the tension T2 (a) Number Units (b) Number Units (c) Number Units
Jose is pushing on a 10 kg crate with a force of 12 N so that the crate moves with a constant velocity of 2 m/s. This means the force of friction on it must be 10 N 12 N 20 N 0 N 1.2 N
A cart carrying a load of cabbages (40.82 kg) is being pulled by a 16.8 kg hanging block. Friction is too small to notice. (a) Find the acceleration of the two blocks. m/s2 (b) Find the tension in the cord. N (c) If the cart of cabbages experiences 100 N of friction, what would the tension be then? N
Figure (a) shows three plastic sheets that are large, parallel, and uniformly charged. Figure (b) gives the component of the net electric field along an x axis through the sheets. The scale of the vertical axis is set by Es = 5.4×105 N/C. What is the ratio of the charge density on sheet 3 to that on sheet 2? (a) Number Units
A 2 m long friction bolt is pushed into a drill hole with a force F. The force is in equilibrium with the distributed load r (which has units of N/m) from the surrounding rock. Create a formula for the force F as a function of embedment length x. Determine the force at x = 1.5 m. (a) F is constant with r = 15 N/m (b) varies linearly with r = 25x + 5 N/m
The figure shows a particle with positive charge q = 6.40×10−19 C moving with speed v = 4.27×105 m/s toward a long straight wire with current i = 345 mA. At the instant shown, the particle's distance from the wire is d = 1.26 cm. What is the magnitude of the force on the particle due to the current? Number Units Use correct number of significant digits; the tolerance is +/−9%
A pair of point charges, q = +8.50 μC and q′ = −4.50 μC are moving as shown in the figure below with speeds v = 9.50×104 and v′ = 7.00×104 m/s. The charges are at the locations shown in the figure. What is the direction of the magnetic field produced at the origin due to these two charges? +x −x +y −y out of the screen into the screen the field is zero at the origin
There are four charges, each with a magnitude of 3.10 μC. Two are positive and two are negative. The charges are fixed to the corners of a 0.367−m square, one to a corner, in such a way that the net force on any charge is directed toward the center of the square. Find the magnitude of the net electrostatic force experienced by any charge. Number Units
A 222−kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 27.8∘ with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.830, and the log has an acceleration of 0.853 m/s2. Find the tension in the rope. Number Units
A particle that carries a net charge of −77.8 μC is held in a constant electric field that is uniform over the entire region. The electric field vector points 25.2∘ clockwise from the vertical axis, as shown in the figure. If the magnitude of the electric field is 9.82 N/C, how much work WE is done by the electric field as the particle moves thorugh distance of d = 0.156 m straight up? WE = J What is the potential difference ΔV between the particle's initial and final positions? ΔV = V
a) Find the electric field in units of N/C at the position, x3 = 20.4 m, in the image. Assume that the left end of the charged rod is at x1 = 1.5 m and the right end of the charge rod is at x2 = 16 m and the rod has a linear charge density given by λ(x) = 20.4 − x with units in nC/m if x is in meters. Write your answer in vector format without the units. To input a vector you can write it in point pair format with angle brackets (like this: ⟨x, y⟩) or you can use cartesian (like this: xi + yj with i and j instead of i^ and j^). N/C
Consider the figure below. (a) Using the symmetry of the arrangement, determine the direction of the force on q in the figure above, given that qa = qb = −7.50 μC and qc = qd = +7.50 μC. (b) Calculate the magnitude of the force in newtons on the charge q, given that the square is 10.0 cm on a side and q = 5.00 μC. N
(a) Sketch the sled and all the forces acting on it. Choose File No file chosen This answer has not been graded yet. (b) Determine the components of all the forces on the sled along the coordinate axes. (Enter the magnitude only.) Tx N Ty = N mg N Ffriction = N The normal force N will be in the direction. The friction force will be in the direction. ΣFx = = 0 ΣFy = = 0 (d) What is the coefficient of friction between the sled and the snow? (e) Is this the coefficient of static friction or the coefficient of kinetic friction? coefficient of static friction coefficient of kinetic friction (f) If the child continues to pull on the sled and it has an acceleration of 0.31 m/s2, find the coefficient of kinetic friction between the sled and the snow.
A block of mass m = 0.1 kg falls down a ramp of height h = 0.5 m and angle θ = 30 degrees. The coefficient of kinetic friction between the block and the ramp is given by μ, which will vary throughout this problem. At the end of the ramp, the block slides along a frictionless horizontal surface until it makes contact with, and compresses, a mass-less spring with spring constant k = 1.0 N/m. Assume g = 9.81 m/s2. Determine the following:Assume the ramp is frictionless (i. e., μ = 0). What is the maximum distance that the spring will compress? What coefficient of kinetic friction, μ, will cause the spring to compress by exactly half the distance that it did when the ramp was frictionless? Using the value of the coefficient of friction found in part 2, when the spring pushes the block back towards the ramp, what is the maximum height that the block reaches?
A spring-mass system is designed as shown in the figure below where, M = 5 kg, m = 2 kg, μs = 0.2, and k = 100 N/m. What maximum displacement can this system have without the block of mass m not slipping over the lower mass M during the oscillation? Consider that there is no friction between the lower block and the ground.