Answer:
Explanation:
R1 = + 11.7 cm
R2 = - 18.7 cm
n = 1.52
(a) Use lens maker formula



f = 13.84 cm
(b)
R1 = + 18.7 cm
R2 = - 11.7 cm
n = 1.52
(a) Use lens maker formula



f = 13.84 cm
To solve this problem we must rely on the equations of the simple harmonic movement that define the period as a function of length and gravity as

Where
l = Length
g = Gravity
Re-arrange to find L,

Our values are given as


Replacing,



Therefore the height would be 25.348m
Answer:
a. v₁ = 16.2 m/s
b. μ = 0.251
Explanation:
Given:
θ = 15 ° , r = 100 m , v₂ = 15.0 km / h
a.
To determine v₁ to take a 100 m radius curve banked at 15 °
tan θ = v₁² / r * g
v₁ = √ r * g * tan θ
v₁ = √ 100 m * 9.8 m/s² * tan 15° = 16.2 m/s
b.
To determine μ friction needed for a frightened
v₂ = 15.0 km / h * 1000 m / 1 km * 1h / 60 minute * 1 minute / 60 seg
v₂ = 4.2 m/s
fk = μ * m * g
a₁ = v₁² / r = 16.2 ² / 100 m = 2.63 m/s²
a₂ = v₂² / r = 4.2 ² / 100 m = 0.18 m/s²
F₁ = m * a₁ , F₂ = m * a₂
fk = F₁ - F₂ ⇒ μ * m * g = m * ( a₁ - a₂)
μ * g = a₁ - a₂ ⇒ μ = a₁ - a₂ / g
μ = [ 2.63 m/s² - 0.18 m/s² ] / (9.8 m/s²)
μ = 0.251
Answer:
The age of the organism is approximately 11460 years.
Explanation:
The amount of carbon-14 decays exponentially in time and is defined by the following equation:
(1)
Where:
- Initial amount of carbon-14.
- Current amount of carbon-14.
- Time, measured in years.
- Time constant, measured in years.
Then, we clear the time within the formula:
(2)
In addition, time constant can be calculated by means of half-life of carbon-14 (
), measured in years:

If we know that
and
, then the age of the organism is:




The age of the organism is approximately 11460 years.
Voltage is the difference in charge between two points.
Current is the rate the charge flows
Resistance is the tendency a material has to resist the flow of charge (current)
Combining voltage resistance and current Ohm developed the formula
V (Voltage)= I (Current) x R (Resistance)