Answer:
![2.75387\ ^{\circ}](https://tex.z-dn.net/?f=2.75387%5C%20%5E%7B%5Ccirc%7D)
Explanation:
m = Mass of person = 70 kg
c = Specific heat of human body = ![0.83\ J/kg^{\circ}C](https://tex.z-dn.net/?f=0.83%5C%20J%2Fkg%5E%7B%5Ccirc%7DC)
= Change in temperature
Time taken is 1 hour
Heat is given by
![Q=mc\Delta T\\\Rightarrow \Delta T=\dfrac{Q}{mc}\\\Rightarrow \Delta T=\dfrac{0.8\times 200\times 1}{70\times 0.83}\\\Rightarrow \Delta T=2.75387\ ^{\circ}C](https://tex.z-dn.net/?f=Q%3Dmc%5CDelta%20T%5C%5C%5CRightarrow%20%5CDelta%20T%3D%5Cdfrac%7BQ%7D%7Bmc%7D%5C%5C%5CRightarrow%20%5CDelta%20T%3D%5Cdfrac%7B0.8%5Ctimes%20200%5Ctimes%201%7D%7B70%5Ctimes%200.83%7D%5C%5C%5CRightarrow%20%5CDelta%20T%3D2.75387%5C%20%5E%7B%5Ccirc%7DC)
The rise in temperature is ![2.75387\ ^{\circ}C](https://tex.z-dn.net/?f=2.75387%5C%20%5E%7B%5Ccirc%7DC)
Answer:
![13u\prime\prime+33.33u\prime+910u=6sin\frac{t}{2}, \ u(0)=0,u\prime(0)=0.04\\](https://tex.z-dn.net/?f=13u%5Cprime%5Cprime%2B33.33u%5Cprime%2B910u%3D6sin%5Cfrac%7Bt%7D%7B2%7D%2C%20%5C%20u%280%29%3D0%2Cu%5Cprime%280%29%3D0.04%5C%5C)
#Where
is in meters and
in seconds.
Explanation:
Given that :![m=13.0kg, \ L=0.14m, \ F(t)=6sin\frac{t}{2}N, F_d(t*)=-4N^{-1}, u\prime(t*)=0.12m/s\\u(0)=0,u\prime(0)=0.04m/s](https://tex.z-dn.net/?f=m%3D13.0kg%2C%20%5C%20L%3D0.14m%2C%20%5C%20F%28t%29%3D6sin%5Cfrac%7Bt%7D%7B2%7DN%2C%20F_d%28t%2A%29%3D-4N%5E%7B-1%7D%2C%20u%5Cprime%28t%2A%29%3D0.12m%2Fs%5C%5Cu%280%29%3D0%2Cu%5Cprime%280%29%3D0.04m%2Fs)
From
we have:
![k=\frac{\omega}{L}=\frac{mg}{0.14m}=\frac{13.0\times 9.8m/s}{0.14m}\\\\k=910kg/s^2](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B%5Comega%7D%7BL%7D%3D%5Cfrac%7Bmg%7D%7B0.14m%7D%3D%5Cfrac%7B13.0%5Ctimes%209.8m%2Fs%7D%7B0.14m%7D%5C%5C%5C%5Ck%3D910kg%2Fs%5E2)
From
we have that:
![\gamma=-\frac{F_d(t*)}{u\prime(t*)}=\frac{4N}{0.12m/s}\\=33.33Ns/m](https://tex.z-dn.net/?f=%5Cgamma%3D-%5Cfrac%7BF_d%28t%2A%29%7D%7Bu%5Cprime%28t%2A%29%7D%3D%5Cfrac%7B4N%7D%7B0.12m%2Fs%7D%5C%5C%3D33.33Ns%2Fm)
Now,given that the initial value problem is given by:
![13u\prime\prime+33.33u\prime+910u=6sin\frac{t}{2}, \ u(0)=0,u\prime(0)=0.04\\](https://tex.z-dn.net/?f=13u%5Cprime%5Cprime%2B33.33u%5Cprime%2B910u%3D6sin%5Cfrac%7Bt%7D%7B2%7D%2C%20%5C%20u%280%29%3D0%2Cu%5Cprime%280%29%3D0.04%5C%5C)
Hence,the position of u at time t is given by
,
in meters,
in seconds.
5089 I believe is the correct answer
Answer:
Its goal is to explore the Kupier Belt, a region in space where comets originate
Explanation:
The Mid-Infrared Instrument (MIRI) is a telescope with abilities to see the mid-infrared region of the electromagnetic spectrum.The wavelength of this instrument is 5-28 microns. The Kupier belt is a region in space beyond Neptune.MIRI was developed to enable scientists study and explore the kupier belt to observe the far most galaxies, new stars that are formed and the comets invisible from the previous telescopes.