A 1.2 kg ball drops vertically onto a floor, hitting with a speed of 20 m/s. it rebounds with an initial speed of 5.6 m/s. (a) w
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Answer:
a.
b.
c.
Explanation:
a) The average of this values is the sum each number divided by the total number of values.
is values of each diameter
- N is the total number of values. N=6
b) The standard deviation equations is:
If we put all this values in that equation we will get:
Then the mean diameter will be:
c) We know that the density is the mass divided by the volume (ρ = m/V)
and we know that the volume of a cylinder is:
Then:
Using the values that we have, we can calculate the value of density:
We need to use propagation of error to find the error of the density.
- δm is the error of the mass value.
- δd is the error of the diameter value.
- δh is the error of the length value.
Let's find each partial derivative:
1.
2.
3.
Therefore:
So the density is:
I hope it helps you!