Acertain heat engine operating on a carnot cycle absorbs 370 j of heat per cycle at its hot reservoir at 145 ∘c and has a thermal efficiency of 26.0 % .

how much work does this engine do per cycle? w =

how much heat does the engine waste each cycle? |q| =

what is the temperature of the cold reservoir? tc =

by how much does the engine change the entropy of the world each cycle? deltas =

what mass of water could this engine pump per cycle from a well 25.0 m deep? m =

Ascientist is tracking an object orbiting the sun that is found between mars and jupiter. in order to classify the object as an asteroid, it must be at least

Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume v of water remaining in the tank (in gallons) after t minutes.t(min) 5 10 15 20 25 30v(gal) 694 444 250 111 28 0(a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines pq when q is the point on the graph with t = 5, 10, 20, 25, and 30.(b) estimate the slope of the tangent line at p by averaging the slopes of two secant lines.(c) use a graph of the function to estimate the slope of the tangent line at p. (this slope represents the rate at which the water is flowing from the tank after 15 minutes.)show all steps.

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1