The answer is a Viscosity because it describes the internal friction of a moving liquid
Answer:
time taken is equal to 14,156 years
Explanation:
we know,
![Y=Ae^{-kt}](https://tex.z-dn.net/?f=Y%3DAe%5E%7B-kt%7D)
at t = 0
Y(0) = A
given that half life of plutonium 239 = 24,200
![\dfrac{A}{2}=Ae^{-kt}\\0.5=e^{-kt}\\k\times 24200 = ln(2)\\k = \dfrac{ ln(2)}{24200}](https://tex.z-dn.net/?f=%5Cdfrac%7BA%7D%7B2%7D%3DAe%5E%7B-kt%7D%5C%5C0.5%3De%5E%7B-kt%7D%5C%5Ck%5Ctimes%2024200%20%3D%20ln%282%29%5C%5Ck%20%3D%20%5Cdfrac%7B%20ln%282%29%7D%7B24200%7D)
![Y=Ae^{-kt}](https://tex.z-dn.net/?f=Y%3DAe%5E%7B-kt%7D)
![\frac{3}{2} = e^{-kt}\\ln(1.5)=-\dfrac{ ln(2)}{24200}\times t\\t=-\dfrac{ln(1.5)\times 24200}{ ln(2)}\\t=14,156 \ years](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%3D%20e%5E%7B-kt%7D%5C%5Cln%281.5%29%3D-%5Cdfrac%7B%20ln%282%29%7D%7B24200%7D%5Ctimes%20t%5C%5Ct%3D-%5Cdfrac%7Bln%281.5%29%5Ctimes%2024200%7D%7B%20ln%282%29%7D%5C%5Ct%3D14%2C156%20%5C%20years)
hence time taken is equal to 14,156 years
Answer:
(a) 32.5 kgm/s
(b) 32.5 Ns
(c) 10.8 N
Explanation:
The change in momentum can be calculated from the definition of linear momentum:
![\Delta p=\Delta (mv)= m \Delta v\\\\\Delta p= (5.00kg)(9.75m/s-3.25m/s)\\\\\Delta p=32.5kgm/s](https://tex.z-dn.net/?f=%5CDelta%20p%3D%5CDelta%20%28mv%29%3D%20m%20%5CDelta%20v%5C%5C%5C%5C%5CDelta%20p%3D%20%285.00kg%29%289.75m%2Fs-3.25m%2Fs%29%5C%5C%5C%5C%5CDelta%20p%3D32.5kgm%2Fs)
Then, the change in momentum of the body is of 32.5 kgm/s (a).
Now, from the impulse-momentum theorem, we know that the change in momentum of a body
is equal to the impulse
exerted to it. So, the impulse produced by the force equals 32.5 kgm/s (or 32.5 Ns) (b).
Finally, since we know the value of the impulse and the interval of time, we can easily solve for the magnitude of the force:
![I=F\Delta t\\\\\implies F=\frac{I}{\Delta t}\\\\F=\frac{32.5Ns}{3.0s}\\\\F=10.8N](https://tex.z-dn.net/?f=I%3DF%5CDelta%20t%5C%5C%5C%5C%5Cimplies%20F%3D%5Cfrac%7BI%7D%7B%5CDelta%20t%7D%5C%5C%5C%5CF%3D%5Cfrac%7B32.5Ns%7D%7B3.0s%7D%5C%5C%5C%5CF%3D10.8N)
It means that the magnitude of the force is of 10.8N (c).
The magnitude of the displacement of the car from the starting point to halfway around the track is 256 m.
Answer:
Explanation:
Since the race track is a circular track, the distance for one lap will be equal to the circumference of the circular track. And the circumference will be equal to the circumference of the circle.
Since the radius of the track is given as 200 m, then the circumference of the circular track will be
Circumference = 2πr = 2 × 3.14 × 200
So the circumference of the circular track = 1256 m.
So the starting point or position of the track is considered as zero and if the car has traveled half way means, the car has covered half of the circumference of the track.
As the circumference = 1256 m, then half of the circumference of the circle = 1256/2 = 256 m.
So the displacement is the measure of difference between the final position and initial position. As here the initial position is zero and the final position is the halfway around the track which is equal to 256 m.
Then Displacement = Final-Initial = 256-0= 256 m.
So the magnitude of the displacement of the car from the starting point to halfway around the track is 256 m.
This situation represents triangle with one angle of 90 degrees. That angle is directly below glider. That means that we can you basic trigonometry functions.
sin42 = h/3280
Now we express h.
h = 3280* sin42
h = 2195 feet
The answer is 2195 feet.