Be sure to show all work and all problem solving strategies. Give complete explanations for each step. The Moment Magnitude Scale (MMS) for measuring the intensity of an earthquake is represented by the equation M = 2 3 log E E0 where E is the amount of energy released by the earthquake in joules and E0 = 104.4 is the assigned minimal measure released by an earthquake. 1. What would the magnitude be of an earthquake releasing 1.4∗1013 joules of energy? 2. A recent earthquake in southern California measured had a magnitude of 4.6. How much energy was released by the earthquake? 3. An earthquake had a magnitude of 3.9 on the MMS scale. If a second earthquake releases 750 times as the first, what is the magnitude of the second earthquake?

Ablue car pulls away from a red stop-light just after it has turned green with a constant acceleration of 0.5 m/s 2 . a green car arrives at the position of the stop-light 6.5 s after the light had turned green. if t = 0 when the light turns green, at what time does the green car catch the blue car if the green car maintains the slowest constant speed necessary to catch up to the blue car? answer in units of s.

You are a researcher for a golf club manufacturer. you are given two identical looking cubes of a metal alloy. you are informed that they are made of the exact same material, but one is crystalline, whereas the other is amorphous. it is your job to determine which one is amorphous this one is more stress-resistant and is useful in reinforcing golf clubs. which of the following is the best way to determine which is which? a. determine the density of each cube. the more dense one is the amorphous solid. b. melt both cubes and look for a broader range of melting temperatures. the one that melts over a broader range of temperatures is the amorphous solid. c. determine the density of each cube. the less dense cube is the amorphous solid. d. melt both cubes and measure the range of melting temperatures. the one that melts over a narrower range of temperatures is the amorphous solid.

A980-kg sports car collides into the rear end of a 2300-kg suv stopped at a red light. the bumpers lock, the brakes are locked, and the two cars skid forward 2.6m before stopping.the police officer, estimating the coefficient of kinetic friction between tires and road to be 0.80, calculates the speed of the sports car at impact. what was that speed?