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- Draw the acceleration-time, velocity-time, distance-time graph of a particle that has a constant acceleration of 9m/s^2 for 6 seconds and a starting velocity of 5m/s, what is the final velocity and total distance traveledby the particle. (starting distance traveled=0m)A positively charged ball falls vertically along the lines of a uniform electric field. The weight of the ball is larger than the electric force. The air drag force, exerted on the ball, is directly proportional to its speed. The mass and charge of the ball are equal to 0.48 kg and 0.29 C. The magnitude of the electic field is 4.9 V/m. Determine the ratio v1/v2, where v1 and v2 are the speeds of steady (i.e., constant speed) motion when the electric field vector is oriented upwards and downwards, respectively.Problem Description Two small metal spheres A and B have different electric potentials. Sphere A has charge qA = -6x10-6 C and sphere B has charge qB = +2x10-6 C. The radius of sphere A is 0.25 m and the radius of sphere B is 0.50 m. The two spheres are then connected with a wire. Instructions In a neat and organized fashion, write out a solution which includes the following: A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and final state, both of these states should be represented in your sketch. Draw charge diagrams of the spheres before and after they are connected. Charges may be drawn directly on your sketches. Describe in words and mathematically what happens if you connect the spheres with a wire. Calculate the final charge on each sphere after they are connected. What assumptions did you make? Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your…
- An inclined plane of angle θhas a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface as shown. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v. Calculate By what distance is the spring compressed when the block momentarily comes to rest? develop an equation for x. x when θ=30.0° , k = 1 kN/m, m = 5 kg, d = 0.5 m, and v =1 m/s. If we add another spring in series, by what distance is the spring compressed when the block momentarily comes to rest? If we add another spring in parallel, by what distance is the spring compressed when the block momentarily comes to rest?A metal rod having a mass m and length l has resistance R. The rod hangs from two vertical metallic wires of length l in a uniform vertical magnetic field B of a horseshoe magnet (see figure). The wires have negligible resistance. An AC voltage source is connected between the wires which provides a voltage U(t) = U0 cos ωt, where U0 and ω are constants. a) Show that for small angular displacements φ the motion of the rod can be described by the equation U(t) = αφ ̈ + βφ ̇ + γφ, and express the constants α, β, γ in terms of quantities m, l, B, R and the gravitational acceleration g. b) At a certain frequency ω = ω0 the amplitude of the oscillations of the rod becomes large and the equation above does not describe themotion anymore. Estimate the frequency ω0.Consider three charges placed in vacuum: Q1 = 1 mC at (-3, 2, -3), Q2 = 2 mC at (3, -3, -1), and Q3 = 4 mC at (-4, 1, 0). Determine the x-component of the force, in Newtons, being experienced by Q2 due to the presence of Q1 and Q3. All coordinates are measured in meters.
- Kindly help me with this, thank you. Three charges, 1 nC, 3 nC and -2 nC are located in a two-dimensional plane with the following coordinates (in meters), respectively: (0,0) , (3,0) and (3,4). Calculate the following: a. the resultant force at each of the charges b. the potential at pt. (0,4) c. the electric field at pt. (0,4)In constant M and N circles, if the value of M becomes unity, Which of the following will be the radius? a-Radius converges to Origin b-Radius converges at (-1, j0) c-Radius becomes infinite d-Radius converges at (0, - j)In free space, q1 = nCand LaTeX: q_2 = 4nC loads are placed at y = 1 and y = 6 respectively on the y-axis as shown in the figure. Accordingly, what is the electric potential value at y = 4?
- In the system shown in the figure below, the disk of inertia J and radius r is constrained tomove only about the stationary axis A. A viscous damping force of translational value fvexists between bodies J & M. If an external force f(t) is applied to the mass, find thetransfer function G(s) = Θ(s)/F(s)(Electromagnetism) A load distribution of uniform density ρ, forms a very long cylinder of radius a. One end of the cylinder has a spherical depression of radius b > a in such a way that the center of curvature of depression shower falls at a point p on the axis of the cylinder. Find the electric field at point p.intertwined as shown in the figure, region dielectric constant between two coaxial cylinders filled with a material with ε=2ε0. a=2cm above the 10cm radius cylinder Q=5C It has been observed that there is an electrical charge of 5C The cylinder with a radius of b=4cm is grounded. Find the potential function in the region between the cylinders??