Converting 209 km/hr to m/s:
209 km/hr = 58.0 m/s
Contact distance = 0.1 m
Using the equation of motion:
2as = v² - u², where initial velocity is 0
a = (58)² / (2 x 0.1)
a = 1.68 x 10⁴ m/s²
Answer:
Car 1 and Car 2 have the same momentum!
Explanation:
Using the formula of momentum (P=m*v), we get for each car:
Car 1: 5kg*2.2m/s = 11kg*m/s
Car 2: 5.5kg*2m/s = 11kg*m/s
Car 3: 6kg*1.35m/s = 8.1kg*m/s
Car 4: 6.5kg*1.9m/s = 12.35kg*m/s
Car 5: 7kg*1.25m/s = 8.75kg*m/s
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!