Spring Motion A mass M attached to a spring (with spring constant k) sits horizontally on a frictionless surface. The mass is displaced a distance xmax from the natural spring length and then released to oscillate. At a coordinate x = 3 Xmax what is the velocity of the mass?
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- A mass (M) is attached to a spring that is (X) m long when unstretched with a spring constant of (k) N/m. What is the maximum speed of the mass? Looking for the equation in terms of M, X and k thank youQuestions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g BA A 100 g 100 g C At what point will the system have the largest total energy? O A В C All points will have the same amount of total energy.Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g B A 100 g 100 g At what point will the mass have the largest elastic (spring) potential energy? A В C All points will have the same amount of elastic potential energy. hllll
- Hooke's law describes a certain light spring of unstretched length 33.0 cm. When one end is attached to the top of a door frame and a 5.00-kg object is hung from the other end, the length of the spring is 48.5 cm. Answer parts a-b.K Question 13 of 32 A spring hangs from the ceiling with an unstretched length of xo = 0.99 m. A m¡ = 9.1 kg block is hung from the %3D spring, causing the spring to stretch to a length X = 1.18 m. Find the length x2 of the spring when a m2 = 3.3 kg block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made. m2 X2 = %3D 0.04 m m,A 2.38 kg ball is attached to an unknown spring and allowed to oscillate. The figure shows a graph of the ball's position x as a function of time t. What is the force constant of the spring?
- Questions a,b and cA mass of 70.0 g is hung on the end of a string that is 2.00 m in length. It is given an initial speed of 1.20 m/s and released while at an angle of 30.0 degrees from its equilibrium position. Part A What is the speed of the mass at its lowest point? Part B What is the speed of the mass when \thetaθ = 15.0 degrees? Part C What is the tension in the string when the mass is at its lowest point?A mass of 0.3 kg hangs motionless from a vertical spring whose length is 0.75 m and whose unstretched length is 0.55 m. Next the mass is pulled down to where the spring has a length of 1.05 m and given an initial speed upwards of 1.7 m/s. What is the maximum length of the spring during the motion that follows? maximum length= Hint: the conceptually-simplest approach is to track the changes in kinetic, spring-potential, and gravitational-potential energies; the mathematically-simplest approach is to observe that the sole effect of gravitation is to lower the spring's equilibrium position, then track just the kinetic and spring-potential (relative to the lower equilibrium) energies.
- Questions 2-5 reference the picture of mass attached to a spring shown. The left most picture gives the spring in its relaxed (equilibrium) position. The mass is lifted to point "B" and let go such that it oscillates up and down as shown in the right most position. Positions B and C are its highest and lowest points while bouncing. Point A is where the mass is traveling the fastest. Neglect air drag. 100 g B A 100 g 100 g At what point will the mass have the most kinetic energy? A В C All points will have the same amount kinetic energy.Asimple pendulum which has a frequency of 2.5 Hz.on the surface of the Earth is used by an astronaut visiting a newly discovered planet. On that planet's surface, the pendulum swings with a frequency of 1.6 Hz. How large is the gravitational acceleration of that planet?During an experiment, a student tests a spring's oscillation period with different masses. The testing masses are 50g, 100 g, 200 g, and 500 g. Which of the following statements is correct? The 100 g has the highest frequency. The 500 g has the highest frequency. The 50 g has the highest frequency. O The 200 g has the highest frequency.