Mathematics, 16.03.2020 21:32 NotAPDB1441
When the velocity v of an object is very large, the magnitude of the force due to air resistance is proportional to v squared with the force acting in opposition to the motion of the object. A shell of mass 2 kg is shot upward from the ground with an initial velocity of 600 m/sec. If the magnitude of the force due to air resistance is (0.1)v squared, when will the shell reach its maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m divided by s squared.
Answers: 1
![t = -\frac{m}{2b}\cdot \left[\tan^{-1} \left(\frac{v}{\sqrt{\frac{m\cdot g}{b} } }\right) - \tan^{-1} \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } }\right)\right]](/tpl/images/0549/2532/c8501.png)
![\frac{v}{\sqrt{\frac{m\cdot g}{b} } }=\tan \left[-\frac{2\cdot b\cdot t}{m} + \tan^{-1}\left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } } \right)\right]](/tpl/images/0549/2532/6637d.png)
![v = \sqrt{\frac{m\cdot g}{b} } \left [\frac{\tan \left(-\frac{2\cdot b \cdot t}{m} \right)+ \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } } \right)}{1 - \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } } \right)\cdot \tan \left(-\frac{2\cdot b \cdot t}{m} \right) }\right]](/tpl/images/0549/2532/11ae3.png)
Another question on Mathematics
Mathematics, 21.06.2019 19:00
Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?
Answers: 1
Mathematics, 21.06.2019 22:30
There were 25 students who answered to a survey about sports. four-fifths of them like football. how many students like football?
Answers: 2
Mathematics, 21.06.2019 22:30
What three-dimensional solid have 6 rectangular faces, 2 equal bases that are not rectangles and 18 edges
Answers: 3
Mathematics, 21.06.2019 23:00
According to the general equation for conditional probability if p(anb)=3/7 and p(b)=7/8 what is p(a i b)
Answers: 1
You know the right answer?
When the velocity v of an object is very large, the magnitude of the force due to air resistance is...
Questions
Mathematics, 18.03.2021 03:20
Mathematics, 18.03.2021 03:20
Chemistry, 18.03.2021 03:20
Mathematics, 18.03.2021 03:20
Physics, 18.03.2021 03:20
Computers and Technology, 18.03.2021 03:20
Mathematics, 18.03.2021 03:20
Physics, 18.03.2021 03:20
History, 18.03.2021 03:20
Mathematics, 18.03.2021 03:20
Biology, 18.03.2021 03:20
Mathematics, 18.03.2021 03:20
Mathematics, 18.03.2021 03:20
