Consider an ideal spring that has an unstretched length l_0 = 3.5 m. Assume the spring has a constant k = 36 N/m. Suppose the spring is attached to a mass m = 8 kg that lies on a horizontal frictionless surface. The spring-mass system is compressed a distance of x_0 = 1.9 m from equilibrium and then released with an initial speed v_0 = 5 m/s toward the equilibrium position. How long will it take for the spring to first become completely extended?
3 answers
http://ocw.mit.edu/courses/physics/8-01t-physics-i-fall-2004/assignments/ps07sol.pdf
A block of mass m = 4 kg slides along a horizontal table when it encounters the free end of a horizontal spring of spring constant k = 14 N/m. The spring is initially on its equilibrium state, defined when its free end is at x=0 . Right before the collision, the block is moving with a speed vi = 5 m/s . There is friction between the block and the surface. The coefficient of friction is given by μ = 0.86 . How far did the spring compress when the block first momentarily comes to rest? take g= 10 m/s2
A block of mass m = 4 kg slides along a horizontal table when it encounters the free end of a horizontal spring of spring constant k = 16 N/m. The spring is initially on its equilibrium state, defined when its free end is at x=0 in the figure. Right before the collision, the block is moving with a speed vi = 9 m/s . There is friction between the block and the surface. The coefficient of friction is given by μ = 0.77 . How far did the spring compress when the block first momentarily comes to rest? take g= 10 m/s2
0 answers