Assume a spring extend by “d” due to some load. Let “F” be the spring force and “k’ the spring constant. Then, the potential energy stored is _____ a) 2d/F2 b) F2/2k c) 2k/T2 d) F2/2d
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Assume a spring extend by “d” due to some load. Let “F” be the spring force and “k’ the spring constant. Then, the potential energy stored is _____
a) 2d/F2
b) F2/2k
c) 2k/T2
d) F2/2d
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- 3. Suppose you have an object attached to a bizarre spring, initially located at x = 0, the equilibrium point of the force of the spring on the object is given by F₁ = kx, S where k is a spring constant. (a) You displace the object from x = 0 to ₁ > 0, holding the object steady at the beginning and end. What is the work done by the spring? What is the work done by you? (b) You let go of the spring and observe the object move from location. x₁ to x2. Is x2 less than or greater than ₁? (c) What is the kinetic energy of the object at x2? (d) Is this bizarre spring realistic? Explain.a spring has a spring constant k of 140n/m. a 150 g block is placed against the spring and compressed 16 cm. a0 when the block is released how high up the slope does it rise? b) what is the kinetic energy at the highest point? c) what is the potential energy at the highest point.A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g. b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop). c)What is the child's final speed, vf in m/s?
- 1] A 20kg mass hangs at rest at end of a pendulum rope. Assume that you push it up at 0.6m above initial level and keep it there. Identify forces on the mass, use work- energy theorem in 3D and find: a) How much work do you spend for this operation... If it takes 0.6 sec to bring it from "A" to "B",... b) What average power you have exerted... c) How much work do you spend for this operation... If you keep it at rest at "B" for 2 minutes, Then, you leave free. •.. d) What is its speed when it arrives at A?... B 0.6m Ad) What is the applied force when the spring is compressed? e) What is the kinetic energy of the toy when it reaches its maximum height?1.The work required to stretch a certain spring from an elongation of 4.00 cm to an elongation of 5.00 cm is 30.5 J. (a) Is the work required to increase the elongation of the spring from 5.00cm to 6.00 cm greater than, less than, or equal to 30.5 J?Draw and Explain. (b)Verify your answer to part (a) by calculating the required work.
- The spring constant of a spring is 100 N/m. A force of 10 N stretches the spring by 10 cm. How much potential energy is stored in the spring? а. О.3] b. 0.2J c. 0.4J d. 0.5J1. A 23.0 kg child is playing on a swing with a length of 2.5 m. If the swing starts from rest and makes an angle of 40.0◦ with the vertical at the top of the swing, a) determine the child’s speed at the bottom of the swing neglecting friction. b) If the swing has a speed of 2.8 m/s at the bottom, determine the work done by friction during the downswing and, bonus) assuming the force of friction is constant, determine the maximum angle the swing attains on the upswing after passing through the bottom. Hint: Use the approximation that cos θ ≈ 1 − 1 2 θ 2 for angles given in radians.A particular spring on the Earth is found to have a spring constant of k = 1400 N/m. If the same spring is taken to Marsa. The spring constant will be less than on Earthb. The spring constant will be the same as on Earthc. The spring constant will be more than on Earthd. Springs do not work on Marse. We cannot answer this question because we cannot get a spring to Mars