Consider a father pushing a child on a playground merry-go-round. the system has a moment of inertia of 84.4 kg · m². the father exerts a force on the merry-go-round perpendicular to its 1.50 m radius to achieve a torque of 375 n · m.
(a) calculate the rotational kinetic energy (in j) in the merry-go-round plus child when they have an angular velocity of 14.8 rpm. j
(b) using energy considerations, find the number of revolutions the father will have to push to achieve this angular velocity starting from rest. revolutions
(c) again, using energy considerations, calculate the force (in n) the father must exert to stop the merry-go-round in four revolutions. n

An uplifted block of rock between two normal faults

Two horizontal plates with infinite length and width are separated by a distance h in the z direction. the bottom plate is moving at a velocity u. the incompressible fluid trapped between the plates is moving in the positive x-direction with the bottom plate. align gravity with positive z. assume that the flow is fully-developed and laminar. if the systems operates at steady state and the pressure gradient in x-direction can be ignored, do the following: 1. sketch your system 2. identify the coordinate system to be used. 3. show your coordinates and origin point on the sketch. list all your assumptions. 5. apply the continuity equation to your system. nts of navier stokes equations of choice to your system 7. solve the resulting differential equation to obtain the velocity profile within the system make sure to list your boundary conditions. check units of velocity 8. describe the velocity profile you obtain using engineering terminology. sketch that on the same sketch you provided in (1). 9. obtain the equation that describes the volumetric flow rate in the system. check the units.

Which example has gravitational potential energy? a.a horse slowing down from a run b.an apple about to fall from a tree branch c.a bicycle being pedaled down a horizontal path d.beaker sitting on the floor