For spring in series: a. Draw the figure of spring in series. b. Derive the equivalent spring constant of spring in series c. Derive the potential energy for the spring combination in series
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- 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,…Suppose a force of 40 N is required to stretch and hold a spring 0.2 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.4 m from its equilibrium position? c. How much work is required to stretch the spring 0.3 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.2 m if it has already been stretched 0.2 m from its equilibrium?1. Calculate the potential energy in the spring when the collar is at A.VspA = ______ ft-lb 2. Calculate the potential energy in the spring when the collar is at B.VspB= _____ ft-lb 3. If we set the datum at position A, then the potential energy due to gravity at A is zero. With this datum, what is the potential energy due to gravity when the collar is at B?VgB = ______ ft-lb
- 10 cm long spring, with a spring constant of 27 N/m, is used to reload the ball in a pinball machine. The spring is compressed by 4.0 cm by a mechanism in the machine and then let go. a. Calculate the elastic potential energy stored in the spring A new spring is fitted into the machine. It only needs to be compressed by 3.0 cm to store the same amount of elastic potential energy as the previus spring. b. Calculate the spring constant of this new spring The owner of the game wants to double the potential energy stored in this new spring. c. Calculate the compression of the spring needed in order to achieve thisThe potential energy of a spring having a fixed end and a mass attached to the other end is given by U=1⁄2 kx^2 where k is the spring constant and x is the displacement from its equilibrium position. If the spring constant is 200 N/m. Determine the force exerted by the spring when it is displaced 30.0 cm from its equilibrium position. a. 40.0 N b. 80.0 N c. 20.0 N d. 60.0 N e. 100.0 NA block attached to a 15 N/m-spring constant spring moves on a frictionless horizontal surface, its position-vs-time graph is shown below. What is the total mechanical energy of the block-spring system, in Joules? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit x (cm) 20 is needed in your answer, it is already given in the question statement. 0 -20- ਲਈ 4 6 8 –t (s)
- A wooden box of mass 6.0 kg slides on a frictionless tabletop with a speed of 3.0 m/s. It is brought to rest by a compressing spring. The spring content is 1250 N/m. a. Calculate the maximum distance the spring is compressed. b. Determine the speed and acceleration of the block who the spring is compressed a distance of 14 cm.A 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/sReview Part A A spring is compressed 9.0 cm. How far must you compress a spring with twice the spring constant to store the same amount of energy? Express your answer with the appropriate units. µA Ax = Value Units %3D Submit Previous Answers Request Answer
- A spring with a spring constant of 366 N/m is compressed so it contains 18.7392 joules of elastic potential energy. A. How much is the spring compressed by? __________metersThe box located at y =3.5 m is initially compressing a spring at a certain distance. When the spring was brought back to equilibrium, the box sled onto the rough incline, reached a frictionless horizontal surface and continued to move until it encountered a very rough surface where its motion halted at the end of the 5-m surface. Calculate the: A. compression distance of the spring to reach the end of the track B. speed of the box at the start of the frictionless surface K=3000N/M compressed mass = 10 kg 3. 5m Mx=0.9 frictlonless3. What is the elastic potential energy in a spring that is compressed 0.23 meters and has a spring constant of 501 N/m? 4. What is the elastic potential energy in a spring that is stretched 0.375 meters and has a spring constant of 210 N/m? 5. A 2.5 kg ball is compressed against a spring that is at a height of 5 meters above the ground. The spring has an elastic constant of 405 N/m and is compressed by 0.80 meters. Calculate the total energy.