Question
A 3.2-kg object is suspended from a spring with k = 74 N/m. The mass is pulled 0.75 m downward from its equilibrium position and allowed to oscillate. What is the maximum kinetic energy of the object?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
- An ideal spring hangs from the ceiling. A 1.75 kg mass is hung from the spring, stretching the spring a distance d=0.0865 m from its original length when it reaches equilibrium. The mass is then lifted up a distance L=0.0295 m from the equilibrium position and released. What is the kinetic energy of the mass at the instant it passes back through the equilibrium position?arrow_forwardA horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 46.9 J and a maximum displacement from equilibrium of 0.227 m. (a) What is the spring constant? 1820.3 N/m (b) What is the kinetic energy of the system at the equilibrium point? 46.9 J (c) If the maximum speed of the block is 3.45 m/s, what is its mass? 7.88 kg (d) What is the speed of the block when its displacement is 0.160 m? m/s (e) Find the kinetic energy of the block at x = 0.160 m. J (f) Find the potential energy stored in the spring when x = 0.160 m. J (g) Suppose the same system is released from rest at x = 0.227 m on a rough surface so that it loses 12.1 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant? marrow_forwardA 0.500-kg object, suspended from an ideal spring of spring constant 21.4 N/m, is oscillating vertically. How much change of kinetic energy occurs while the object moves from the equilibrium position to a point 4.73 cm lower?arrow_forward
- A 0.300 kg block on a horizontal frictionless surface is attached to an ideal massless spring whose spring constant is 120.0 The block is pulled from equilibrium position at x = 0.000 m to a displacement x = + 0.080m and is released from rest. The block then executes simple harmonic motion along the horizontal x axis. What the total mechanical energy of the system ? Give your answer in Sl units .arrow_forwardA 10.0-kg object is suspended from a spring with k = 16 N/m. The mass is pulled 1.25 m downward from its equilibrium position and allowed to oscillate. What is the maximum kinetic energy of the object??arrow_forwardA 1.00-kg mass is attached to a spring hanging vertically and hangs at rest in the equilibrium position. The spring constant of the spring is 1.00 N/cm. The mass is pulled downward 2.00 cm and released. What is the speed of the mass when it is 1.00 cm above the point from which it was released? 0.0443 m/s 1.73 m/s 1.67 m/s 0.0201 m/s The mass will not reach the height specified.arrow_forward
- A 75 kg student jumps off a bridge with a 12-m-long bungee cord tied to his feet. The massless bungee cord has a spring constant of 430 N/m. a) How far below the bridge is the student’s lowest point? b) How far below the bridge is the student's resting position after the oscillations have fully stopped?arrow_forwardA horizontal spring is lying on a frictionless surface. One end of the spring is attaches to a wall while the other end is connected to a movable object. The spring and object are compressed by 0.079 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 12.9 rad/s. What is the speed of the object at the instant when the spring is stretched by 0.034 m relative to its unstrained length? Number Mi Unitsarrow_forwardA 50.0 cm long spring with spring constant 224 N/m has a mass 1.4 kg attached to it, and it can oscillate on a horizontal table without any friction. The spring is pulled by a distance 7 cm from the resting position and released. What is the kinetic energy (in joules) of the mass at the instant when the length of the spring is 51 cm. Ans: 0.5376arrow_forward
arrow_back_ios
arrow_forward_ios