Carrchris021
16.07.2019 •
Physics
Two substances, a and b, initially at different temperatures, come into contact and reach thermal equilibrium. the mass of substance a is 6.42 g and its initial temperature is 20.7 oc. the mass of substance b is 26 g and its initial temperature is 52.5 oc. the final temperature of both substances at thermal equilibrium is 46.1 oc. if the specific heat capacity of substance b is 1.17 j/gâoc, what is the specific heat capacity of substance a?
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Ответ:
t = 22.2 s
Explanation:
angular distance covered in the 36.0 s is
θ = ω(avg)t = ½(10.0 + 30.0)36 = 720 radians
720/2 = 360 radians
α = Δω/t = (30 - 10)/36 = 5/9 rad/s²
θ = ω₀t + ½αt²
360 = 10.0t + ½(5/9)t²
0 = (5/18)t² + 10.0t - 360
0 = t² + 36t - 1296
t = (-36 ±√(36² - 4(1)(-1296))) / 2
t = (-36 ±√(6480)) / 2
t = -18 ±√1620
we ignore the negative time result as it occurs before we care.
t = -18 + √1620 = 22.249223... s