A certain substance has a dielectric constant of 2.8 and a dielectric strength of 23 MV/m. If it is used as the dielectric material in a parallel-plate capacitor, what minimum area should the plates of the capacitor have to obtain a capacitance of 5.9 x 10-2 μ F and to ensure that the capacitor will be able to withstand a potential difference of 5.2 kV?
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- A 25 kg child goes down a straight slide inclined 40 degrees above the horizontal. The coefficient of kinetic friction between the child's shorts and the slide is 0.25. A) Draw a free body diagram for the child on the slide in your written work. Indicate a useful coordinate system. B) What is the acceleration of the child as she goes down the slide?Consider the System Diagram and Free Body Diagram shown below. If you were to add up the force of tension and the force of gravity, what would you get? Question options: The normal force - - The force of kinetic friction -0 - The centripetal force - The force of static friction - The centrifugal force Consider the System Diagram and Free Body Diagram shown below. System Diagram Free Body Diagram the system the environment FT tension Non-contact forces Gravity**ALL NECESSARY INFORMATION IS GIVEN, A spool rests on a horizontal, frictionless surface and you are looking at it from the top view (appears as a circle).In the following questions, the spool is pulled by tension forces that are applied at various locations, directions, and radii.To solve each problem, draw the spool as a circle on a piece of paper and then draw the given tension vectors.REMEMBER that the direction UPWARD points to the TOP of the page and DOWNWARD points to the BOTTOM of the page.The resulting TORQUE will be either OUT OF the page (CCW motion, POSITIVE torque) or INTO the page (CW motion, NEGATIVE torque).A rope of tension 2T applies a force at radius 3R on the spool. It is located at 12 o'clock and pulls to the left.What is the resulting torque in terms of rT? Remember to check whether the torque is positive (results in CCW motion) or negative (results in CW motion). A rope of tension 1T applies a force at radius 4R on the spool. It is located at 12 o'clock and…
- V=0 Force Cart I Lab Set Up #1 Sensor Mass - M Xo v=0 Lab Set Up #2 Force Cart 2 Sensor Mass -3.SM In a physics lab student have two different setups. Each setup has a frictionless cart connect to an identical massless spring. For each trial the springs are compressed against a force sensor mounted to the track. Each spring is compressed from the equilibrium position x, to the compresses position x. When the released cart returns to position x, the spring is no longer in contact with the force sensor. The force sensor is set to record force and time information.A person pushes a box along the ground. The box has the force diagram shown below. Examine the force diagram to answer the following questions: a. Is the box in equilibrium? If so explain how you can tell. If not, explain why not. b. If the person wants the box to move at constant velocity, should they adjust their pushing on the block? If so, explain how they should change their push. If not, explain why they should change nothing about their pushplease show work for question number 12
- Please refer to the picture with the formulas and constants that need to be used in this problem. Harzan wants to swing from one bank of the river to the other using an overhaning vine. As he swings, he traces out an arc of a circle. Part 1) Please draw and label a free body diagram of Harzan at the bottom of the swing. Answer: we have to discuss the motion of the swinging person Part 2) What forces act as the radial force in the circular motion? Answer: In the radial direction centrifugal force will act as a source of tension Part 3) Is this uniform circular motion? Explain Answer: The motion is similar to that of a pendulum, thus the vine-swinger system acts like a physical pendulum, the motion will not be uniform circular. Part 4) The vine is 6.2 m long, and Harzan's mass is 85 kg. At the bottom of his swing, he is travelling at 4.3 m/s. What is the magnitide of the radial acceleration that Harzan experiences? Part 5) How much tension must the vine support in order to safely…Please just show work C and D