Physics, 06.09.2019 18:30 Wanna14ever
Newton's law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. suppose tt is time, t is the temperature of the object, and ts is the surrounding temperature. the following differential equation describes newton's law dtdt=k(t−ts),where k is a constant. suppose that we consider a 90∘c cup of coffee in a 24∘c room. suppose it is known that the coffee cools at a rate of 1∘c/min. when it is 70∘c. answer the following questions.
1. find the constant k in the differential equation.
answer (in per minute): k=
2. what is the limiting value of the temperature?
answer (in celsius): t=
3. use euler's method with step size h=2 minutes to estimate the temperature of the coffee after 10 minutes.
answer (in celsius): t(10)≈
Answers: 1
Physics, 22.06.2019 07:30
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Under the action of a constant force an object accelerates at 7.8 m/s2. what will the acceleration be if (a) the force is halved? (b) the object's mass is halved? (c) the force and the object's mass are both halved? (d) the force is halved and the object's mass is doubled?
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