The graph shows velocity versus time for a m = 2.5 kg mass connected to a spring; the vertical axis is measured in m/s, while the time axis is measured in seconds. a) Write out a complete expression for x(t), including numerical values and units where appropriate. b) What are the spring constant k and total energy Etot? c) On the axes below, sketch graphs of position x(t) and 11
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- Pls help ASAP on both pls i begPendulum: The _200 gʻ*bob" of a _1.2_m long pendulum is pulled back so that the string makes an angle of 15° from the vertical. A.) Determine the speed of the "bob" at the lowest point of the swing. B.) Determine the height at which the velocity of the “bob" will be 2 Vmax. 15°Kindly provide the solution to the following question using the GRASS method. (Unit: Energy and Momentum). The images attached are the formulas for this unit and the question. Please make sure to show all your work using the GRASS (given, required, analysis, solution, and statement) method and using formulas from this unit (Energy and Momentum).
- Question helpSuppose that during each step, the leg of the student, which is 0.90 meters long, swings through a total distance of 2.0 m. At the end of the swing, this foot rests on the ground for 0.2 s before the other leg begins its swing. a. At what speed does this student walk? (Think carefully about how far forward the student moves at each step.) b. The swinging leg reaches its maximum speed at the bottom of its arc. How many times faster is this maximum leg speed (measured with respect to the ground) than the average walking speed?Question help
- Suppose the spring below has a spring constant of 50.0 N/m. The box has a mass of 8.0kg and rests on a surface of negligible friction. A. in the diagram above, the spring was ocmpressed 4.0 m. How much energy does the spring now store? B. Suppose that all of the elastic energy was transfered to the box when it was released. How fast would the box be moving?The position of a particle is given by s = 0.20t3 - 0.67t? - 2.96t + 4.92, where s is in feet and the time tis in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have the plots, answer the questions as a check on your work. --+ s, ft -1 1 Questions: When t = 1.3 sec, v = ft/sec2 i ft/sec, a = i When t = 8.3 sec, v= ft/sec, a = i ft/sec2 The positive time at which the particle changes direction is i sec.1. sketch a motion diagram of the skater that starts from rest at the location shown 2. sketch a graph for the change in the gravitational potential energy vs x- postion 3. sketch a kinetic energy vs x position graph, how does it compare to the graph shoen in #2
- Answer the following questions based in Energy Skate Park Experiment: 1. Calculate the ratio of the mechanical energy at B and mechanical energy at A (EB/EA) and (EC/EB).What do these ratios tell you about the conservation of energy?2. Is the mechanical energy conserved between A and B? Explain3. Is the mechanical energy conserved between B and C? ExplainSuppose that the speed that a fish can swim depends on the 3/2 power of the length of the fish. Also suppose that that a herring with the length of 0.30 meters swims at a speed of 1.67 m/s. a)Find the particular equation showing the relationship between swimming speed and length for this herring b)With reference to the given table below a) Draw a graph of force against extension using a neat plain paper and a scale of your choice but in accordance with the given valuesvalues. b) Determine the value of the spring constant. c) Find the work required to stretch the spring initially by 5mm then equally find the work to stretch the spring from an extension of 10mm to a final extension of 15mm