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.
a monomial usually has the form _ax_^n____, where a is __constant____ and n is a __integer____?
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Answer: any set of the choices given can make a triangle.
The shapes and sizes will be different, of course. None of the sets given will produce a Right Triangle.
Step-by-step explanation:
Answer:
d. ( 63.9, 66.7)
Therefore at 90% confidence interval (a,b) = ( 63.9, 66.7)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 65.3
Standard deviation r = 5.2
Number of samples n = 36
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
65.3+/-1.645(5.2/√36)
65.3+/-1.645(0.866667)
65.3+/-1.42567
65.3+/-1.4
= ( 63.9, 66.7)
Therefore at 90% confidence interval (a,b) = ( 63.9, 66.7)
