Hi there!
Acceleration = change in velocity / change in time = Δv/Δt
Thus:
a = (75 - 15)/4 = 60/4 = 15 mi/hr²
1 . W=mass times acceleration due to gravity
60kg times 9.8m/s2
= 588N
2. W=mg
1176N=m times 9.8
m=120kg
3. 1 hour=3600s
24 hours=?
24 times 3600
= 86400 seconds
4. 1000g=1kg
25000g=?
25000 times 1 divide by 1000
=25kg
5. 1000000mg=1kg
123000000=?
123000000 times 1 divide by 1000000
=123 kg
Answer:
4276.98 years
Explanation:
t = age of the sample in numbers of years
T = half life of the carbon-14 isotope = 5730 yrs
λ = decay constant of carbon-14
decay constant is given as
![\lambda =\frac{0.693}{T}](https://tex.z-dn.net/?f=%5Clambda%20%3D%5Cfrac%7B0.693%7D%7BT%7D)
![\lambda =\frac{0.693}{5730}](https://tex.z-dn.net/?f=%5Clambda%20%3D%5Cfrac%7B0.693%7D%7B5730%7D)
![\lambda = 0.000121](https://tex.z-dn.net/?f=%5Clambda%20%3D%200.000121%20)
A₀ = activity of Carbon-14 in living plants
A = activity of Carbon-14 after time "t" = (0.596) A₀
Using the equation
![A = A_{o} e^{-\lambda t}](https://tex.z-dn.net/?f=A%20%3D%20A_%7Bo%7D%20e%5E%7B-%5Clambda%20t%7D)
![(0.596) A₀ = A_{o} e^{-0.000121 t}](https://tex.z-dn.net/?f=%20%280.596%29%20A%E2%82%80%20%20%3D%20A_%7Bo%7D%20e%5E%7B-0.000121%20t%7D)
![0.596 = e^{-0.000121 t}](https://tex.z-dn.net/?f=%200.596%20%3D%20e%5E%7B-0.000121%20t%7D)
t = 4276.98 years