A1.35 kg block at rest on a tabletop is attached to a horizontal spring having constant 19.8 n/m. the spring is initially unstretched. a constant 23.8 n horizontal force is applied to the object causing the spring to stretch. the acceleration of gravity is 9.8 m/s 2 . 23.8 n 1.35 kg 19.8 n/m find the speed of the block after it has moved 0.236 m from equilibrium if the surface between block and tabletop is frictionless. answer in units of m/s.

See the attachment and solve question 5th

3. a worker pushes a 30.5 kg polished stone along a polished table with a force on bonin a straight line for 5.20 s after starting from rest. there is no friction between thestone and the table. at the end of the table. the stone is hooked to a cable with a lengthof 62.0 cm to rotate it to a rough table to store until they can be picked up. the roughtable has a coefficient of static friction 0.702 with the polished stone. remember that 8= 9.80 m/s2a) what is the speed of the stone when it is hooked to the cable? b) what is the tension in the cable while the stone is rotating? (there is still nofriction)c) how much force is needed to make the stone begin sliding from rest on therough table? ius = 0.70262.0 cm30.5 kg20.5 kg6= 0

Calculate a pendulums frequency of oscillation (in hz) if the pendulum completes one cycle in 0.5s.