Answer:
a)0.674 kg b) 2.2 s c) 0.9 m/s²
Explanation:
The amplitude of the ball (xo) = 11.0cm, half way between its equilibrium point its maximum displacement x = 11 cm / 2 = 5.5 cm = 5.5 / 100 in meters = 0.055 meters, speed at this point = 27.2 cm /s = (27.2 / 100) in m/s = 0.272 m/s,
spring constant K = 5.5 N/m
a) The mass of the ball (m) can be calculated using the formula below
v =√ (x²o - x²)K/m
make m subject of the formula
v² = (xo² - x²) K/m
m = K ( xo² - x²) / v²
m = 0.674kg
b) The period of the oscillation can be calculated by the following formula
T = 2π√ (m /K)
substitute the values into the formula
T = 2 × 3.142 × √ (0.674/ 5.5) = 2.2s
c) The maximum acceleration of the ball which occurs at the maximum displacement of the ball can be calculated by the following formula
a = K / m × x ( maximum displacement of the body) = 5.5 / 0.674 × 0.11 = 0.9 m/s²
Answer:
R / 25
Explanation:
Let the initial length of the wire is L and its resistance is R.
Now the length is cut into 5 equal parts.
The resistance of a wire is directly proportional to the length of the wire, thus, the resistance of each portion of the wire is R/5.
Now the five pieces are connected in parallel combination, the equivalent resistance is


Thus, the resistance of the new cable is R / 25.
Answer:
Because the 'ing' in the English language is added to certain verbs to make them nouns.
Explanation:
Hope this helps :D
Answer:
It is a weighted average of the masses of an element’s isotopes.
Explanation:
The best definition of the atom mass of an element is that it is a weighted average of the masses of an element's isotopes.
- Isotopes of an element have the same electronic configuration but differ in only their masses.
- The atomic mass of an element can be derived from the geonormal abundances of this isotopes.
- It is the average of all the isotopes of an element.
Atomic mass = ∑m
a
where m
is the mass of the isotope i
a
is the abundance of the isotope i
Every cm³ of that substance has 55 grams of mass
packed into it. That's what density means.
So how many cm³ do you need in order to stuff in
220 grams ?
How many 55s make 220 ?
220/55 = 4 .
If you have 4 cm³ of space available, you can pack
the whole 220 grams into that volume, because each cm³
will hold 55 grams, and 4 x 55 = 220 .