Answer:
A(3.56m)
Explanation:
We have a conservation of energy problem here as well. Potential energy is being converted into linear kinetic energy and rotational kinetic energy.
We are given ω= 4.27rad/s, so v = ωr, which is 6.832 m/s. Place your coordinate system at top of the hill so E initial is 0.
Ef= Ug+Klin+Krot= -mgh+1/2mv^2+1/2Iω^2
Since it is a solid uniform disk I= 1/2MR^2, so Krot will be 1/4Mv^2(r^2ω^2= v^2).
Ef= -mgh+3/4mv^2
Since Ef=Ei=0
Mgh=3/4mv^2
gh=3/4v^2
h=0.75v^2/g
plug in givens to get h= 3.57m
To solve this problem it is necessary to apply the concepts related to the Power defined from the Stefan-Boltzmann equations.
The power can be determined as:

Making the relationship for two states we have to

Since the final power is 8 times the initial power then

Substituting,



The temperature increase would then be subject to



The correct option is D, about 68%
Answer:
<u>The car's average speed is 32 kilometers per hour</u>
Explanation:
1. Let's review the information given to us to answer the question correctly:
First two hours = 60 kilometers
Next two hours = 68 kilometers
2. What is the car's average speed?
Total distance traveled by the car = 60 + 68
Total distance traveled by the car = 128
Total time of travel = 2 + 2 hours
Total time of travel = 4 hours
Average speed = Total distance/Total time
Replacing with the real values, we have:
Average speed = 128/4
<u>Average speed = 32 kilometers per hour</u>
This question is in two parts. This is not the correct multiple choice options for this part a.
The second part had the option
b)If your bedroom has a circular shape, and its diameter measured 6.32 , which of the following numbers would be the most precise value for its area?
a)30 m^2
b) 31.4 m^2
c)31.37 m^2
d)31.371 m^2
Answer:
A. 17.0 m²
B. 31.4 m²
Explanation:
The formula for the calculation of the area of a rectangle is given as
Area = length x width
The length = 3.547 m
The width = 4.79 m
Then area = 3.547 x 4.79
= 16.990m²
When approximated = 17.0m²
This is the most precise measurement for the area of the bedroom.
B.
We solve b using this formula
Area = pi(diameter/2)^2
= 3.14(6.32/2)²
= 3.14 x 9.9856
= 31.4 m²
"A current in a fluid that results from convection "
-Quora