A sphere of mass m = 2.5 kg can move across a horizontal, frictionless surface. Attached to the sphere is an ideal spring with spring constant k = 27 N/m. At time t = 0 the sphere is pulled aside from the equilibrium position, x=0, a distance d = 12 cm in the positive direction and released from rest. After this time, the system oscillates between x = ± d.

Determine the magnitude of the force, in newtons, required to initially displace the sphere d=11 cm from equilibrium

Juan created a chart to him study for a test. which headings best complete the chart? x: transparent objects y: opaque objects x: opaque objects y: transparent objects x: high frequency waves y: low frequency waves x: low frequency waves y: high frequency waves

Consider a one meter long horizontal pipe with a constant 100 cm^2 cross sectional area. water flows rightward into the pipe at x = 0 with flow velocity 02m/sec at every point within the pipe intake area. at x=1, the rightward flow rate is 0.192 m/sec. assume the water is a conserved quantity in the pipe, so there must be a leak (a sink) somewhere in the pipe. 1. compute net volumetric flow of the source if the system to be in equilibrium. 2. now assume the pipe in the problem has no leaks. compute the net volumetric rate of change for the system.

Can you match these to the correct definition