When a force of 1600 Newtons is applied to a spring suspended from the ceiling, it stretches 2 meters. A mass of 50 kg is connected to the end of the spring and it comes to rest at its equilibrium position. The mass is then set into motion by being pushed up from its equilibrium position with a velocity of 28 m/s. (Let the positive direction be downwards.) 1. Write the equation of motion that governs the mass-spring system described above.
2. Identify the initial conditions and solve the differential equation from part (a) with the given initial conditions.

During spring semester at mit, residents of the parallel buildings of the east campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. a balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. assume that the stretching of the hose obeys hooke's law with a spring constant of 89.0 n/m. if the hose is stretched by 5.80 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length? unitst 3 number-1497 the tolerance is +/-5% open show work click if you would like to show work for this question:

Ineed this now one scientist feels that the changes in global climatic patterns may be good for the health of the biosphere. another scientist feels that sharp changes in climatic patterns could result in the extinction of the biosphere. which of these is the most likely reason the two scientists gave conflicting opinions on the impact of changes in the global climatic pattern? they do not have enough knowledge on the topic. they did not discuss the issue among themselves. they believe conflicting opinion strengthens science. they study different areas of science and have different scientific focuses.

Which lists the amplitudes of sound waves from these sources in order from greatest to least? busy roadway, kids whispering, average home chainsaw, diesel truck, rustling leaves kids whispering, vacuum cleaner, jet airplane library, conversational speech, music from speaker