A 150 g mass is undergoing simple harmonic motion along the x-axis on an ideal spring with k=100 N/m. At t=0, the mass is at x =-10cm and is moving with velocity v= -15m/sec. a) What is the total energy of the system? b) What is the position of the mass as a function of time, x(t)? c) What is the acceleration of the mass at t=3.5sec?

A mass of 0.69 kg is is initially traveling at 6.19 m/s across a horizontal, frictionless surface. It then reaches a spring with a fixed end having a spring constant of 334 N/m that is positioned horizontally and initially at equilibrium. The incoming mass will then contact the spring, compressing it as it comes to rest. What is the speed of the mass upon the spring being compressed by 0.173 m from its equilibrium position?

A 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.

A spring has a length of 0.260 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.80 kg mass hangs from it.   What is the force constant (in N/m) of the spring? What is the unloaded length (in m) of the spring?

There is a 10 kg block that slides back and forth over a frictionless surface due to a 96 N/m spring which is attached to one side of the block. The oscillation has an amplitude of 0.12m. What is the maximum speed of the block in m/s?