If we double only the mass of a vibrating ideal mass-and-spring system, the mechanical energy of the system O increases by a factor of 2. O increases by a factor of 4. O does not change. O increases by a factor of y2
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- An object with mass 0.30 kg falls from rest onto a spring of stiffness 25,000 N/m. The relaxed height of the spring is 0.11 m, but when the object reaches its lowest point, the (compressed) spring has a height of only 0.06 m. a) How much energy is stored in the spring when the object reaches its lowestpoint? b) What is the height h from which the object was released? c) What was the speed of the object at the instantwhen it first made contact with the spring?When a spring with stiffness constant k is compressed or stretched by a distance x the elastic potential energy stored by the spring is A. -kx B. 0.5kx^2 C. 0.5mv^2 - U (x) D. [None of the others.] E. kx F. mgxA box with mass of 150 kg is released from point A, 43 meters above the ground. The box slides without friction and then collides with a massless spring that is initially uncompressed. a) What is the total energy of the system? b) What is the speed of the box right before colliding with the spring? After colliding with the spring, the box gets stuck to the spring and starts oscillating back and forth. c) If the spring constant is 300 N/m, what is the amplitude of oscillation for the box-spring system? d) When the spring is compressed by Δs = 1.5 m, find the speed of the box. e) Find the maximum acceleration experienced by the box. f) What is the period of oscillation?
- An object is sliding down a ramp at a speed of V. At the bottom of the ramp is a spring with spring constant K. If the speed of the object doubles, what will happen to the compression of the spring at the bottom?A 1.2 m spring is standing on one end. A 60-kg block is placed on the spring, compressing it. What is the length of the compressed spring if spring constant k is 500 N/m? y Lo Yeq 0 www Before Compressed AfterA spring of negligible mass has force constant k = 1600 N/m. How far must the spring be compressed for 3.20 j of potential energy to be stored in it? 7) %3D a) b) The spring is placed vertically with one end on the floor. A 1.0-kg book is the droped from a height of 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed. 1.0 kg h = 0.8 m
- A ball of mass m is launched straight upward from a spring of constant k compressed by a distance x. Neglecting viscosity and drag, what is the maximum height reached by the ball? Answer choices: A. kx/mg B. mgx C. ½ k x^2 /mg D. mgx/kgQUESTION 9 When a spring is compressed or stretched, the elastic potential energy (U=1/2kx²) of the spring: Oa. Stays constant Ob. Decreases Oc Increases Od. Either positive or negativea) A friend says they have a spring that stretches 5cm every 1 N that is applied. If they stretch the spring to 10 cm (double the distance), how does the spring constant change? b) If given 2 springs, how can you tell which has a greater spring constant without takinG measurements?