At a particular instant in time, a train is traveling north at 5 m/s and decelerating at a rate of 0.5 m/s2 as it enters a right turn (eastward) with a radius of curvature of 100 m. at the front of the train a record player is spinning a record on a horizontal surface at a rate of 6 rad/s counter-clockwise with an angular deceleration of 0.5 rad/s2. on top of the spinning record, an ant is walking directly toward the center with a velocity of 0.1 m/s and an acceleration of 0.01 m/s2. at the same instant that the train enters the eastward curve, the ant is 0.2m from the center of the record and is located directly to the east of the center, such that he is walking due west. what is the magnitude of the ant's total acceleration relative to the ground?

There is a theory that indicates that dinosaurs became extinct when about 65 million years ago, a large asteroid hit the earth surface. dust caused by this collision blocked the sunlight reaching the earth's surface and many forms of life became extinct due to the cold. fearing this threat, how large the radius of an asteroid should you be looking for if the dangerous asteroid size is approximately the same as the one that killed the dinosaurs? available data suggests that about 18% of that asteroid's mass ended up as a dust spread evenly over earth after eventually settling out of the upper atmosphere. about 0.0180 g/cm^2 of dust, which is chemically different than the earth's rock, covered the earth's surface. typical asteroids have a density of about 1.9 g/cm^3. now that we know the size of the asteroid, how much energy was released during impact, assuming all of it was just the kinetic energy of the asteroid right before the impact?

The california mussel (mytilus californianus) attaches itself to a rock or other solid surface with a bundle of filaments known as the byssus. imagine that 15.0 j of work is done to stretch the distal end of the byssus. it releases 10.8 j of thermal energy as it relaxes. what is the resilience of the distal end of the byssus?

Which composition of water moves to begin a deepwater current?