When the velocity goes from 40km/h to 20 km/h, the kinetic energy decreases by a factor of 4.
<h3>
What happens to the kinetic energy?</h3>
We know that the kinetic energy depends of the square of the velocity. Thus, if we decrease the velocity from 40km/h to 20km/h, then the kinetic energy decreases.
Remember that the kinetic energy is:
K = (m/2)*v²
Where m is the mass.
The initial kinetic energy is:
K = (m/2)*(40km/h)²
The final kinetic energy is:
K' = (m/2)*(20km/h)²
The quotient gives:
K/K' = [ (m/2)*(40km/h)²]/[ (m/2)*(20km/h)²]
K/K' = (40km/h)²/(20km/h)² = 4
So the kinetic energy decreases by a factor of 4.
Learn more about kinetic energy:
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Answer:
$5808.08
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = amount deposited = $5000
R = interest rate = 0.03
N = number of years = 5
m = number of compounding = 12
5000 x (1 + 0.03/12)^60 = $5,808.08
Step-by-step explanation:
part A
all listed features (A - F) are correct and to be selected.
part B
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
so,
(f(0) - f(-2)) / (0 - -2) = (2 - 0) / (0 + 2) = 2/2 = 1
Recall that one of the rules of exponents states that
Now, let x be a negative number and n, an even number, then
But the even root of a negative number is not a real number.
for example,
is not a real number, rather a complex number.
Hence, <span>rational exponents are not defined when the denominator of the exponent in lowest terms is even and the base is negative.</span>