What is the independent variable and why?
2 answers:
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Answer:
a) x_{cm} = m₂/ (m₁ + m₂) d , b) x_{cm} = 52.97 pm
Explanation:
The expression for the center of mass is
= 1 / M ∑
Where M is the total masses, mI and xi are the mass and position of each element of the system.
Let's fix our reference system on the oxygen atom and the molecule aligned on the x-axis, let's use index 1 for oxygen and index 2 for carbon
x_{cm} = 1 / (m₁ + m₂) (0+ m₂ x₂)
Let's reduce the magnitudes to the SI system
m₁ = 17 u = 17 1,661 10⁻²⁷ kg = 28,237 10⁻²⁷ kg
m₂ = 12 u = 12 1,661 10⁻²⁷ kg = 19,932 10⁻²⁷ kg
d = 128 pm = 128 10⁻¹² m
The equation for the center of mass is
x_{cm} = m₂/ (m₁ + m₂) d
b) let's calculate the value
x_{cm} = 19.932 10⁻²⁷ /(19.932+ 28.237) 10⁻²⁷ 128 10-12
x_{cm} = 52.97 10⁻¹² m
x_{cm} = 52.97 pm
The gravitational potential energy (G.P.E) of the ceiling fan is 712.95 Joules.
<u>Given the following data:</u>
- Mass of ceiling fan = 7.5 kg
- Height = 0.7 m
<u>Scientific data:</u>
- Acceleration due to gravity = 9.8
To calculate the gravitational potential energy (G.P.E) of the ceiling fan:
<h3>What is gravitational potential energy?</h3>Gravitational potential energy (G.P.E) can be defined as the energy that is possessed by an object or body due to its position (height) above planet Earth.
Mathematically, gravitational potential energy (G.P.E) is given by this formula;
<u>Where:</u>
- G.P.E is the gravitational potential energy.
- m is the mass of an object.
- g is the acceleration due to gravity.
- h is the height of an object.
Substituting the given parameters into the formula, we have;
GPE = 712.95 Joules.
Read more on potential energy here: brainly.com/question/8664733