Answer:
The answer is given in the attacted image.
Answer:
After 5minutes the temperature in the metal cup will decrease the most
Explanation:
this is because metal is a very good conductor of heat, this property also allows it to lose heat to the surrounding, while plastic and cardboard are insulators and they tend to retain the heat hence the water is warm after 5 minutes.
Answer:
Different
Explanation:
The hollow one will expand even more making it have a larger volume then the solid one so they are different
Answer:
More than 2,300,000 limestone and granite blocks were pushed, pulled, and dragged into place on the Great Pyramid. The average weight of a block is about 2.3 metric tons (2.5 tons).
Answer:
![v(1.5)=0.7648\ m/s](https://tex.z-dn.net/?f=v%281.5%29%3D0.7648%5C%20m%2Fs)
Explanation:
<u>Dynamics</u>
When a particle of mass m is subject to a net force F, it moves at an acceleration given by
![\displaystyle a=\frac{F}{m}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7BF%7D%7Bm%7D)
The particle has a mass of m=2.37 Kg and the force is horizontal with a variable magnitude given by
![F=2cos1.1t](https://tex.z-dn.net/?f=F%3D2cos1.1t)
The variable acceleration is calculated by:
![\displaystyle a=\frac{F}{m}=\frac{2cos1.1t}{2.37}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7BF%7D%7Bm%7D%3D%5Cfrac%7B2cos1.1t%7D%7B2.37%7D)
![a=0.8439cos1.1t](https://tex.z-dn.net/?f=a%3D0.8439cos1.1t)
The instant velocity is the integral of the acceleration:
![\displaystyle v(t)=\int_{t_o}^{t_1}a.dt](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%28t%29%3D%5Cint_%7Bt_o%7D%5E%7Bt_1%7Da.dt)
![\displaystyle v(t)=\int_{0}^{1.5}0.8439cos1.1t.dt](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%28t%29%3D%5Cint_%7B0%7D%5E%7B1.5%7D0.8439cos1.1t.dt)
Integrating
![\displaystyle v(1.5)=0.7672sin1.1t \left |_0^{1.5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%281.5%29%3D0.7672sin1.1t%20%5Cleft%20%7C_0%5E%7B1.5%7D)
![\displaystyle v(1.5)=0.7672(sin1.1\cdot 1.5-sin1.1\cdot 0)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%281.5%29%3D0.7672%28sin1.1%5Ccdot%201.5-sin1.1%5Ccdot%200%29)
![\boxed{v(1.5)=0.7648\ m/s}](https://tex.z-dn.net/?f=%5Cboxed%7Bv%281.5%29%3D0.7648%5C%20m%2Fs%7D)