Answer:
a♦1 E_average = n E₀ / 2
, b) E_average= infinity
Explanation:
The energy values form an arithmetic series, whose sum is
S = n (a₁ + aₙ) / 2 = n (2a₁ + (n-1) r)/ 2
Where n is the number of terms, a₁ is the first term, aₙ the last term and r is the difference between two consecutive numbers in the series
r = 2E₀ - 0 = 2E₀
Therefore the sum is
S = n (0 + n E₀) / 2
S = n² E₀ / 2
The average value is
E_average = S / n
E_average = n E₀ / 2
b) the case of harmonic oscillation
We have two possibilities.
- if we take a finite number and terms gives the same previous value
- If we take an infinite number of fears the series gives infinity and the average is also infinite
E_average= infinity
Answer:
an element is a pure substance whereas a compound is a mixture of two or more elements.
Answer:
4 m/s
Explanation:
M = mass of the hammer = 8.91 kg
m = mass of the metal piece = 0.411 kg
h = height gained by the metal piece = 3.88 m
Potential energy gained by the metal piece is given as
PE = mgh
PE = (0.411) (9.8) (3.88)
PE = 15.6 J
KE = Kinetic energy of the hammer
Given that :
Potential energy of metal piece = (0.219) Kinetic energy of the hammer
PE = (0.219) KE
15.6 = (0.219) KE
KE = 71.2 J
v = speed of hammer
Kinetic energy of hammer is given as
KE = (0.5) M v²
71.2 = (0.5) (8.91) v²
v = 4 m/s
Answer:
Sulfuric acid's molar mass is 98.08 g/mol
Explanation:
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