Answer:
(a) I_A=1/12ML²
(b) I_B=1/3ML²
Explanation:
We know that the moment of inertia of a rod of mass M and lenght L about its center is 1/12ML².
(a) If the rod is bent exactly at its center, the distance from every point of the rod to the axis doesn't change. Since the moment of inertia depends on the distance of every mass to this axis, the moment of inertia remains the same. In other words, I_A=1/12ML².
(b) The two ends and the point where the two segments meet form an isorrectangle triangle. So the distance between the ends d can be calculated using the Pythagorean Theorem:
Next, the point where the two segments meet, the midpoint of the line connecting the two ends of the rod, and an end of the rod form another rectangle triangle, so we can calculate the distance between the two axis x using Pythagorean Theorem again:
Finally, using the Parallel Axis Theorem, we calculate I_B:
For astronomical objects, the time period can be calculated using:
T² = (4π²a³)/GM
where T is time in Earth years, a is distance in Astronomical units, M is solar mass (1 for the sun)
Thus,
T² = a³
a = ∛(29.46²)
a = 0.67 AU
1 AU = 1.496 × 10⁸ Km
0.67 * 1.496 × 10⁸ Km
= 1.43 × 10⁹ Km
When a valence electron absorbs energy in the form of heat or light it uses that energy to jump to an excited state (outer level)
Answer Explanation:
The activation energy to form carbon in iron at room temperature is around 0.77eV, and in vanadium at room temperature it is slightly less at 0.74eV
this is occur due to the following reason that are.
- carbon has the diffusion property and it diffuses in iron and vanadium
- BCC ( body centered cubic) structure of iron
- it has different composition this is the main reason
- different crystal structure of iron
The drag force on that same soccer ball when it is moving through the air at is 7.2 Newton.
Given the data in the question;
- Initial speed;
- Initial drag force;
- Final speed;
Final drag force;
From Newton's laws, Drag force is directly proportional to velocity squared:
Where k is the constant of proportionality.
Hence;
We make "" the subject of the formula
We substitute our values into the equation;
Therefore, the drag force on that same soccer ball when it is moving through the air at is 7.2 Newton.
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