Assignment: Locating the Epicenter Exploration All over the Earth, seismographic stations keep their instruments operating all the time. By Uming the animal of Pwaves and Swaves, scientists at each station can tell how far their station is from the source of any earthquake. That distance is used as the radius of a drde around the gallon on a map of the world. The radius is the dislance from the center of the circle to any point on the clrcle. By comparing the distance from several stallons, selsmologists can locate the earthquake's epicenter. Look at the map. Notice that the three circles ovedap. The location where they overlap is the approximate epicenter of the earthquake. Finding the Epicenter Find the length of the radius of each circle. To calculate the radius, divide the distance from the eplcenter by 640 am Seismograph records were obtained from an earthquake in Central America. Using the Informabon in the table, locate the epicenter on the map. You will need a compass and ruler. On this map. 1 cm is equal to 640 km​
Buenos Aires 1 min, 50 sec 1,600 km
Lima 3 min, 45 sec 2,400 km
Brasilia 4 min, 5 sec 2,880 km

Amass m = 74 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius r = 18.4 m and finally a flat straight section at the same height as the center of the loop (18.4 m off the ground). since the mass would not make it around the loop if released from the height of the top of the loop (do you know why? ) it must be released above the top of the loop-the-loop height. (assume the mass never leaves the smooth track at any point on its path.) 1. what is the minimum speed the block must have at the top of the loop to make it around the loop-the-loop without leaving the track? 2. what height above the ground must the mass begin to make it around the loop-the-loop? 3. if the mass has just enough speed to make it around the loop without leaving the track, what will its speed be at the bottom of the loop? 4. if the mass has just enough speed to make it around the loop without leaving the track, what is its speed at the final flat level (18.4 m off the ground)? 5. now a spring with spring constant k = 15600 n/m is used on the final flat surface to stop the mass. how far does the spring compress?