To investigate the propagation of waves in a conducting magneto-fluid, let us consider a compressible, non-viscous, perfectly conducting fluid immersed in a magnetic field the appropriate system of equations, which governs the behavior of this type of fluid are apm at linearizing this system of equations using b=bo + b1 where pmo, and bo are uniform. a) obtain the following equations (9 marks) μ。 8b ot b) using equations of part (a) show that the equation for velocity is given by (5 marks) a-p where ¼ is the alfven velocity and is given by ¼ assuming plane wave solution (5 marks) =(renew, c) and using the vector identity

Amachine, modeled as a simple spring-mass system, oscillates in simple harmonic motion. its acceleration is measured to have an amplitude of 5,000 mm/s with a fre- quency of 10 hz. compute the maximum displacement the machine undergoes during this oscillation.

The ballistic pendulum was invented in 1742 by english mathematician benjamin robins. it consists of an initially stationary pendulum that moves after being struck by a bullet, and it is used to measure the original velocity of the bullet. the known variables are the bullet's mass m, the pendulum's mass m, and the height to which the block and bullet swing, determined by the length of the pendulum l and final angle θ. two principles of physics are necessary to solve for the bullet's original velocity. what are these principles? conservation of momentum and newton's third law conservation of energy and conservation of angular momentum grade summary deductions 0% potential 100% conservation of momentum and newton's second law. newton's second law and conservation of angular momentum. conservation of energy and newton's third law conservation of momentum and conservation of angular momentum. conservation of momentum and conservation of energy conservation of energy and newton's second law.

Sarah and michelle work at a tech company that designs exercise apps. sarah tells michelle she has heard that james, their supervisor, interviewed with a competitor and may be leaving the company, which would open up a management position. what kind of power is sarah exerting?