Answer:
114.86%
Explanation:
In both cases, there is a vertical force equal to the sprinter's weight:
Fy = mg
When running in a circle, there is an additional centripetal force:
Fx = mv²/r
The net force is found with Pythagorean theorem:
F² = Fx² + Fy²
F² = (mv²/r)² + (mg)²
F² = m² ((v²/r)² + g²)
F = m √((v²/r)² + g²)
Compared to just the vertical force:
F / Fy
m √((v²/r)² + g²) / mg
√((v²/r)² + g²) / g
Given v = 12 m/s, r = 26 m, and g = 9.8 m/s²:
√((12²/26)² + 9.8²) / 9.8
1.1486
The force is about 114.86% greater (round as needed).
Answer:
361.46 N
Explanation:
= Coefficient of thermal expansion = 
Y = Young's modulus for steel = 
A = Area = 
= Original length = 1.28 km
= Change in temperature = 
Length contraction is given by

Also,


The tension in the wire is 361.46 N
Answer:
u are falling
Explanation:
In Newtonian physics, free fall is any motion of a body where gravity is the only force acting upon it. In the context of general relativity, where gravitation is reduced to a space-time curvature, a body in free fall has no force acting on it.
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!
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