A block–spring system vibrating on a frictionless, horizonta…

A block–spring system vibrating on a frictionless, horizontal surface with an amplitude of 6.0 cm has an energy of 12 J. If the block is replaced by one whose mass is twice the mass of the original block and the amplitude of the motion is again 6.0 cm, what is the energy of the system?  Be sure to record your answers and justification on your paper and submit it to Gradescope at the end of the exam. (10 points)

A block (mass = 2.0 kg) is hanging from a massless cord that…

A block (mass = 2.0 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.1 × kg · m^2), as the drawing shows. Initially, the pulley is prevented from rotating, and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.040 m during the block’s descent. (a) Draw the free-body diagram showing the forces that act on the pulley. (6 points) (b) Draw the free-body diagram showing the forces that act on the block. (5 points) (c) Find the angular acceleration of the pulley. (7 points) (d) Find the tension in the cord. (7 points) Show all work and write your answer on your paper and upload it to Gradescope at the end of the exam.

An object executes circular motion with constant speed whene…

An object executes circular motion with constant speed whenever a net force of constant magnitude acts perpendicular to the velocity. What happens to the speed if the force is not perpendicular to the velocity?  Answer and explain in your scratch paper.  (10 points)