In the graph of Force vs. Displacement of spring, the force is calculated by multiplying the mass by gravity. Was it necessary to compute the force each time? Could you have determined the spring constant, k, from a graph of mass vs displacement? Explain. At what point during the oscillation of the meter stick is the kinetic energy the greatest? Explain. At what point during the oscillation of the meter stick is the kinetic energy the least? Explain.
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- As shown in the figure below, a box of mass m = 9.60 kg is slidine across a horizontal frictionless surface with an initial speed v, = 3.40 m/s when k = 2950 N/m. encounters a spring of constant The box comes momentarily to rest after compressing the spring some amount x Determine the final compression x (in m) of the spring. 0.2 Can you write an expression for the initial kinetic energy of the box in terms of its mass and initial speed? What is the final kinetic energy of the box? How is the change in kinetic energy related to the initial and final kinetic energy? Since only conservative forces are acting on the system (box and spring) is energy conserved? How is the change in spring potential energy related to the change in kinetic energy of the box? How is the compression of the spring related to the change in potential energy of the spring and the spring constant? mClassical Mechanics. A block of mass m = 5.00-kg is moving to the right with a speed of v = 2.00 m/s on a horizontal, frictionless surface. The block encounters a relaxed (that is, neither compressed nor extended) spring with spring constant k = 2,000.00 N/m. a. What is the kinetic energy of the block before hitting the spring? b. What is the kinetic energy of the block when the spring is at maximum compression? c. How much energy is stored in the spring at maximum compression? d. How far does the spring compress at its maximum compression? e. If the spring converts its stored energy completely into motion of the block, what is the speed of the block after release from the spring? f. (For this part of the problem, the surface is not frictionless) Suppose the speed of the block after release from the spring is 1.5 m/s to the left, how much work (sign and magnitude) was done by non-conservative forces between the time when the initial velocity is 2.00 m/s and the time when the velocity =…A block of mass 0.688 kilograms resting on a smooth horizontal surface is attached to a spring with a spring constant of 33.4 newtons per meter. The block is pulled horizontally 14.1 centimeters from its equilibrium position and released. a. What is the total mechanical energy of the system? Include units in your answer. b. What is the speed of the block when it is 9.0 centimeters from its equilibrium position? Include units in your answer. c. One end of the spring is then attached to a support so it hangs vertically, and the block is suspended from it and lowered into a resting position. How far does the block stretch the spring? Include units in your answer. d. As shown below, the block is then lifted 14.1 centimeters (labeled d in the figure) and released. What is the speed of the block when it is 9.0 centimeters from its equilibrium position (labeled y in the figure)? Include units in your answer. More information. Hint: Since the vertical position of the block is changing,…
- For the system below, let k = 200 N/m, b = 20 N*s/m, and m = 0 kg. For the following cases, sketch the displacement graph over time and define the energy stored in the system at the beginning and at steady state. a. x(0) = 0; f(t) = 0 b. x(0) = 0.3m; f(t) = 0 C. x(0) = 0m; f(t) = 25 N m = 0 k ий 1+1 f(t) bA block with a mass m = 2.5 kg is pushed into an ideal spring whose spring constant is k = 4520 N/m. The spring is compressed x = 0.066 m and released. After losing contact with the spring, the block slides a distance of d = 2.25 m across the floor before coming to rest. a. Write an expression for the coefficient of kinetic friction between the block and the floor using the symbols given in the problem statement and g (the acceleration due to gravity). (Do not neglect the work done by friction while the block is still in contact with the spring.)A free-floating ball is attached to three springs that are anchored to posts at points (0,0), (0, 1), and (2, 0) on the plane, each with the same spring constant k = 2kg/s. The ball will eventually come to rest at the point that will minimize the total (elastic potential) energy of the system. Find the coordinates of this point where the ball comes to rest. %3D
- I need help with #1A 3.59 kg ball is held at rest exactly 3.7 meters in the air. Assume their is no spring in this problem. A. How much gravitational potential energy does the ball currently have? Joules B. How much kinetic energy does the ball currently have? Joules C. How much total mechanical energy does the ball have currently? Joules The ball is than allowed to fall to the ground. As the ball falls It gravitational potential energy gets converted into Kinetic Energy. The moment before hits the ground all of its energy is in the form of kinetic energy. D. How much G.P.E does the ball have the moment before it hits the ground? Joules E. How much kinetic energy does the ball have the moment before it hits the ground? Joules F. what is the ball's speed the instant before it hits the ground? m/sPlease answer questions 3, 4 and 5! A 780 g object is hung from a spring with a force constant of 30 N/m. What is the displacement of the spring from equilibrium length if it is hanging vertically Now, the mass in question a is being pulled downward by an additional 9 cm. What is the potential energy? You release the object, what is the period of oscillation of the mass/spring system? Using yt=Acos(wt), what is the expression of the vertical motion along the y-axis? What is the maximum speed of the oscillating object? What is the maximum kinetic energy? Do these values make sense from the values in part b?
- Find the velocity of the block once the spring reaches its equilibrium point (delta = 0) in terms of the coefficient of kinetic friction, the mass, the spring constant, delta, gravitational acceleration, and the angle. Then find the length, L, it will reach before starting to fall. M^^^^^^^ WWW LA 2.75 kg mass is pressed against a horizontal spring (k = 325 N/m) on a frictionless surface. If the block is pulled 6.5 cm from its equilibrium position and then released, A. What is the potential energy stored in the spring? B.What is the speed of the block when its released