The potential energy of a particle as a function of space is…

The potential energy of a particle as a function of space is shown below. The particle starts at point “c” with zero velocity.  Which of the following statements are true? The particle’s velocity at point “d” will be zero  The particle will have zero velocity at point “f”  The kinetic energy is maximum at point “e” The particle can go beyond point “f”  The force on the particle at point “c” points to the right The force on the particle at point “e” is zero

An object of mass 1 kg that is moving along the x axis exper…

An object of mass 1 kg that is moving along the x axis experiences a net force as indicated in the graph. When located at x = 0, the object has a kinetic energy of 1000 J and is moving in the +x direction. What is the kinetic energy of the object when it reaches x = 6 m?

Bonus question, will be graded manually. A horizontal spring…

Bonus question, will be graded manually. A horizontal spring with a spring constant of 400 N/m is used to launch a 1 kg block. The spring is compressed by 0.1 m.  The block slides along a frictionless plateau and then down a frictionless ramp with total change in height of h = 0.5 m. It then slides over a flat, rough region where the coefficient of kinetic friction μk is 0.5. What distance D will the block slide to in the rough region before stopping?