A plate of size 60 cm x 60 cm slides over a plane inclined to the horizontal at an angle of 30°. It is separated from the plane with a film of oil of thickness 1.5 mm. The plate weighs " • kg and slides down with a velocity of 0.25 m/s. Calculate the dynamic viscosity of oil used as lubricant. What would be its kinematic viscosity if the specific gravity of oil is 0.95?
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- 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…A thin insulator rod of mass m and length L=40 cm, as shown. thresholdon the surface of the plane and in an outer bend from the rails placed on the edges. It slides frictionlessly with a constant velocity of V=0,8 m/s. Itrails at the lower edge of the inclined plane. to each other with a rail parallel to the bar connected so that the bars and rails are closed, a rectangular frame they form. Rail plane is Ɵ=50° angle with horizontal plane (xz plane) is doing. Before the rod begins to weld, it must be tilted above the inclined plane. It stood above the lower edge of the plane at a distance of S=4m. Inclined plane and the rod shows a magnetic field of uniform B=0,5i+0,8j+0,20k(T) is under the influence. When the bar starts to slide, at t=3s moments the bar, the edge magnetic passing through the frame surface formed by the rails and the rails at the bottom edgewhat is flux?An electric wire having a mass of 0.5 kg/m along the horizontal is suspended between supports of the same elevation which is 50m apart. If the maximum tension in the wire is 800N, find a. the minimum tension b. the sag c. the length cable
- 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.A plastic ball with a mass of 2 grams is hung on a 10 cm long thin rope as in the spherical figure,a uniform electric field is applied in the + x direction. When the rope is made at an angle of 15 ° verticallyIf the ball is in equilibrium, calculate the net load (in uC) on the plastic ball.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. Surface charge density on a cylinder of radius b=4cm?
- 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??Since there is a charge density of 100 nc / m on the 2 m radius quadrant in the second region, the differential charge taken from a random point and the corresponding ground vector have been correctly defined. Define additionally the location (R) of the point whose potential is desired to be found and the amount of differential change dV in the voltage that will occur due to the differential load you selected.Two very large (50m x 50m) and 10mm thick plastic discs have the volume charge density ρ1 = +5μC/m3 for the left disc and ρ2 = +3μC/m3 for the right disc in the figure. The discs are placed in parallel. The adjacent surfaces of the discs are 5mm apart. Use Gauss law and superposition to determine the size and direction of the electric field at the following points, far from the outer edges of these discs. a) Dot A, 5mm from the left side of the left disc b) Dot B, 2mm from the left side of the right disc c) Point C, in the middle of the right disc.
- 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.Three point charges are initially infinitely far apart. Then, as figure shows, they are brought together and placed at the corners of an equilateral triangle. Each side of the triangle has a length of 0.50m. Determine the electric potential energy of the triangular group. In other words, determine the amount by which the electric potential energy of the group differs from that of the three charges in their initial, infinitely separated, locations.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?