Acrate of mass 10.0 kg is pulled up a rough incline with an initial speed of 1.50 m/s. the pulling force is 100 n parallel to the incline, which makes an angle of 20.08 with the horizontal. the coefficient of kinetic friction is 0.400, and the crate is pulled 5.00 m. (a) how much work is done by the gravitational force on the crate? (b) determine the increase in internal energy of the crate–incline system owing to friction. (c) how much work is done by the 100-n force on the crate? (d) what is the change in kinetic energy of the crate? (e) what is the speed of the crate after being pulled 5.00 m?

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?

Determine the moment of the force f about an axis extending between a and c. express the result as a cartesian vector. a is at the origin, c is at (4,3,0) and f = (4i + 12j -3k) lb coming out of b (4,3,-2).

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