Compare the KE of an 80 kg person walking at 4 m/s with that of the same person moving at 6 m/s.
1 answer:
The correct answer is:
<span>KE at 4 m/s less than KE at 6 m/s
In fact, the formula for the kinetic energy is:
</span>
<span>where m is the mass of the person and v his speed.
When the person is moving at 4 m/s, his kinetic energy is:
</span>
instead, when he's moving at 6 m/s, his kinetic energy is:
So, the kinetic energy at 4 m/s is less than the kinetic energy at 6 m/s.
<span>KE at 4 m/s less than KE at 6 m/s
In fact, the formula for the kinetic energy is:
</span>
<span>where m is the mass of the person and v his speed.
When the person is moving at 4 m/s, his kinetic energy is:
</span>
instead, when he's moving at 6 m/s, his kinetic energy is:
So, the kinetic energy at 4 m/s is less than the kinetic energy at 6 m/s.
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Answer:
a) I = 1,944 10⁻⁴⁶ Kg m²
, b) I = 7,915 10⁻⁵¹ Kg m²
Explanation:
a) The moment of inertia of point masses is
I = m r²
The nuclei have a very small size (10-15 m) so we can consider them punctual.
The distance to the center of mass passing through the middle of the two nuclei of equal mass
r = 0.6 10⁻¹⁰ m
The moment of total inertia
I = I₁ + I₂ = 2 I₀
I = 2 2.7 10⁻²⁶ (0.6 10⁻¹⁰)²
I = 1,944 10⁻⁴⁶ Kg m²
The kinetic energy of the rotation is
w = h / 2π
K = ½ I w²
K = ½ 1,944 10⁻⁴⁶ (h / 2π)² = ½ 1.944 10⁻⁴⁶ (6.63 10⁻³⁴ / 2π)²
K = 2.16 10⁻¹¹⁴ J (1eV / 1.6 10⁻¹⁹ J)
K = 2.16 10⁻⁹⁵ eV
B) the moment of inertia of the electron in the orbit, we can calculate it with the parallel axis theorem
I = + m R²
I = r² +
R²
Where R we calculate it by Pythagoras
R² = (0.6 10⁻¹⁰)² + (0.5 10⁻¹⁰) 2
R = √ (0.61 10⁻²⁰)
R = 0.78 10⁻¹⁰ m
I = 9.1 10⁻³¹ (0.5 10⁻¹⁰)² + 9.1 10⁻³¹ (0.78 10⁻¹⁰)²
I = (2,275 +5.54) 10⁻⁵¹
I = 7,915 10⁻⁵¹ Kg m²
The rotation energy of the electron
K = ½ I w²
If the angular velocity is the electrons outside the core, its kinetic energy is much lower by an order 10⁵, but the angular velocity of the electrons is much higher.
Answer:
<h2>S.A. = 402.62 m²</h2>Step-by-step explanation:
We have:
two right triangles with legs 4m and 6m
The area:
three rectangles
22m × 6m
The area:
22m × 7.21m
The area:
22m × 4m
The area:
The Surface Area:
Substitute: