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Hope this helped:)
Answer:
Explanation:
Given
N0 = 20kg (original substance)
decay constant λ = 0.179/sec
time t = 300s
We are to find N(t)
Using the formula;
n(t) = N0e^-λt
Substitute the given values
N(t) = 20e^-(0.179)(300)
N(t) = 20e^(-53.7)
N(t) = 20(4.7885)
N(t) =143.055
To know how much of the original material that is active, we will find N(t)/N0 = 143.055/20 = 7.152
About 7 times the original material is still radioactive
Answer:
Random errorrs
1) Variations in the level of the eye when we measure the dimensions of the cubic piece using the metric rule.
2) Possible vibrations or disbalance when we measure the mass of the of the cylinder.
Systematic errors
3) Wrong calibration for the balance and that represent a measurement wrong
Explanation:
Previous concepts
Random error represent an statistical error associated to the effect random in the experiment.
Systematic error is a "repeatable error associated with faulty equipment or a flawed experiment design", so is an error non controlled.
Solution to the problem
So as we can see we have two possible types of errors : random and systematic errors. For this stuation the list of 3 errors required are:
Random errors
1) Variations in the level of the eye when we measure the dimensions of the cubic piece using the metric rule.
2) Possible vibrations or disbalance when we measure the mass of the of the cylinder.
Systematic errors
3) Wrong calibration for the balance and that represent a measurement wrong
Answer: 20.765 m/s
Explanation:
This problem can be solved by the conservation of energy principle, this means the initial energy
must be equal to the final energy
:
(1)
Where each energy is the sum of kinetic energy
and potential energy
:
(2)
Where:
Being
your mass and
your initial velocity, since the roller coaster sterted from rest.

Being
the acceleration due gravity and
your initial height
Being
your final velocity

Being
your final height
Rewritting (2):
(3)
(4)
Isolating
:
(5)
(6)
Finally:
This is your spedd when you arrive at 3 m height
The basic building blocks are called atoms