FRQ 1 This question is a long free-response question. Show your work for each part of the question. ееееееее Figure 1 Figure 1 A group of students must determine the spring constant k of a spring that hangs vertically from a ring stand. The students attach a block to the bottom of the vertical spring, as shown in Figure 1. The students then pull the block- spring system 0.5 m below the system's equilibrium position and release the system so that it oscillates. The students record the mass M of the block and the period of oscillation T for several trials, as shown in the table.
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- The spring in (Figure 1) is compressed by 10 cm. It launches a block across frictionless surface at 0.50 m/s. The two springs in (Figure 2 ) are identical to the spring of (Figure 1). They are compressed by the same 10 cm and launch the same block. Figure 10 cm 25 N/m www.1.0kg Xeq 1 of 2 Part A What is the block's speed now? Express your answer with the appropriate units. ► View Available Hint(s) V2 = Submit μA Value Provide Feedback B Units ?Please answer all the questions and give the reasoning for each of the steps you make. I sometimes can't understand some people's work so please ensure that you show the reasoning for the work.A ball with a mass of 0.5kg hangs from a massless spring with a spring constant k = 50.0N/m. L = <0.20,0.06,0>m is the initial location of the mass. The equilibrium of the spring is L0 = 0.20m. Show all work. 1. Calculate the spring force Fs acting on the ball at its initial location. 2. Calculate the gravitational force Fg on the ball. 3. What is the net force acting on the ball at its initial location? 4. The ball starts at rest, what is its momentum after Δt = 0.05s? 5. What is the position of the ball after Δt = 0.05s?
- hello, please help me understand how this is solve by providing a complete solution and a diagram with proper labels *if applicable. Thank you so much 1) A cylindrical spring is found to elongate by 3cm when stretched by a force of 500N. Determine: a. its force constant (N/m) b. the work done by a 600N force in elongating the spring c. the elongation if a 100kg mass is hung on the spring (Lf-Li) *Lf= Final length; Li= Initial length Our topic is Hooke's Law of ElasticityThis sheet already has the answers however I would like to know what to do to get these answers. I uploaded the picture that goes with the questions here. I'd like to know all of the work and formulas used to get each answer in this problem. I would greatly appreciate the help! :) I will copy the questions and answers down below. a) What is the speed of the car at point B? 6 m/s b) What is the speed of the car at point C? 305 m/s c) What is the speed of the car at point D? 04 m/s d) What is the force applied by the surface of the loop on the car at point B? 8,820 N e) What is the force applied by the surface of the loop on the car at point C? 4 NInstructions 1. Write your complete solution for each item. It should be handwritten. 2. Make sure to simplify your answers and box/underline/highlight your final answer. A. Solve the following problems. 17F1 3.) The natural length of a spring is 8 inches. A force of 20 lb stretches the spring to 10 in. Find the work done in stretching the spring from its natural length to 12 in.
- Learning Target IA3: I can set up and use integrals to solve applied work problems. 1. Note that Hooke's Law applies for compressing a spring, also. A spring supporting a railroad car has a natural length of 12 inches, and a force of 8000 pounds compresses it only inch. Find the work done compressing it from 12 to 9 inches. Hint: The answer is 6000 foot-pounds. Now show all the work to get there, and don't forget to convert from inch-pounds to foot-pounds.its is possible to vary the diameter of the wire ande the diameter of the spring coil to produce a sprinf for which F=ax3 A) write the expression for an infinitestimal amount of work dWk done to stretch this spring an infinitesimal distance dx. B) integrate your expression from part a to get an expression for the work done to stretch the spring from elongation x1 to elongation x2 c) if your spring has a= 1,200 N/m3 find the work done to stretch the spring 8.00 cm from its unloaded lengthcan you please solve number 7 part d,e,f,g showing step by step on a picture. Show all your work and explain step by step on a PICTURE PLEASE.
- Write an expression for the net external work done on the block as it moves from the bottom of the block) and H (the height of the ramp). Show your work. to the top of the ramp in terms of the following quantities: mg (the magnitude of the weight| Name Work and changes in kinetic energy Me HL Free-body diagram for block H . In the space provided, draw and label a free-body diagram for the block as it moves un the ramp. h. For each force on the block, determine the angle between the displacement of the block and the force as the block moves up the ramp. Write an expression for the work done on the block by each force as the block moves up the I6 Express your answer in terms of any or all of the following: sin 0, cos 0, m, g, and d. the k done by any force is zero, state so explicitly. Show your work. You may need to use the angle addition formula cos (a + B) = cos a cos B- sin a sin p.Problem 1: A) Energy Methods Look at the below system. Using the conservation of energy method, solve for the governing equation of motion for the system. Put a box around your final answer. Also, put a box around your equations for the potential and kinetic energy of the system. Assume the system’s springs are initially unstretched (i.e., assume that there is no gravity until t = 0 [s]). B) Numerical Methods Using ode45, your answer to problem 1, and the following initial conditions and system parameters, plot the response of the above system in MATLAB for at least 5 complete oscillations, and no more than 20 oscillations. m = 72 (if your last 2 digits are 00, than assume m = 1) [kg] k1 = 673 [N/m] k2 = 880 digits of your student ID [N/m] g = 9.81 [m/s2] x0 = 0 [m] v0 = 0 [m/s]Please solve this problem and explain the trigonmetric situation with finding h - i am having trouble visualizing it - please draw an image as well Jeff of the Jungle swings on a 7.6-m vine that initially makes an angle of 37° with the vertical. If Jeff starts at rest and has a mass of 78 kg, what is the tension in the vine at the lowest point of the swing?