Step-by-step explanation:
Before we answer, the area of a Circle given it radius is
The area of a circle given it diameter is
So let answers question 1-4.
1. The area is
2. The area is
3.
4.
For the 5th problem, circumference is
where d is the diameter and
where r is the radius.
A circumference of 100 m means the radius is 50 because
So this means the area is
Answer:
- KEi = 2.256×10^5 J
- KEf = 9.023×10^5 J
- 4 times as much work
Step-by-step explanation:
The kinetic energy for a given mass and velocity is ...
KE = (1/2)mv^2 . . . . . m is mass
At its initial speed, the kinetic energy of the car is ...
KEi = (1/2)(810 kg)(23.6 m/s)^2 ≈ 2.256×10^5 J . . . . . m is meters
At its final speed, the kinetic energy of the car is ...
KEf = (1/2)(810 kg)(47.2 m/s)^2 ≈ 9.023×10^5 J
The ratio of final to initial kinetic energy is ...
(9.023×10^5)/(2.256×10^5) = 4
4 times as much work must be done to stop the car.
_____
You know this without computing the kinetic energy. KE is proportional to the square of speed, so when the speed doubles, the KE is multiplied by 2^2 = 4.
The answer is C - Money Market Account
C. Euclid is known as the father of Geometry
Answer:
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Step-by-step explanation:
