wing h/2 A 0.6-kg block rest on a horizontal frictionless surface as shown in the figure. The block is pressed back against a spring having a constant of k=500 N/m, compressing the spring by 15 cm to point A. Then the block is released. Use the conservation of Mechanical energy to solve the following: Find the energy stored in the spring? b) a) Find the velocity of the spring at the point passes x-0? Find the maximum height h the block travels up the frictionless inclined C) surface If e= 30°? d) Find the distance d the block travel on the inclined surface? e) How fast (the velocity) is the block going when halfway (at h/2) to its maximum

2. H On the cylindrical container above with a cross section area A we open a hole as shown with an area Ah. Initially the hole is closed. Ignoring all friction forces find: a) The pressure of the water at the bottom hole if it is closed and no water exits. b) Write the continuity and Bernoulli equation. c) Solve for the speed of the water as it leaves the hole. d) Assuming the velocity at the top is given by the function dy Vy = -C/y,(Vy = ) with y=0 at the height of the small hole and Ca known Constant. dt Solve the differential equation for the time it takes to empty the container as a function of C,h,H

must be handwritten

Sliding box: a) A box of mass m slides down an inclined plane and makes an angle with thehorizontal as shown in the figure. find a differential formula for the speed v(t) of the boxat time t in each of the following three cases:i) No sliding friction and no air resistance.ii) With sliding friction and no air resistance.iii) With sliding friction and air resistance.