Two identical objects are moving directly toward one another at the same speed v. ~v −~v m m What is the total kinetic energy of
2 answers:
Answer:
Explanation:
Let m represent the mass of each object and v denote its velocity; the kinetic energy for one object can be expressed as
The kinetic energy is determined solely by speed and not by velocity's direction. Consequently, the second object's kinetic energy will be identical:
Thus, the total kinetic energy can be determined as
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Answer:
The total energy can be expressed as
Explanation:
The problem states that
The Poynting vector, which measures energy flux, equals
The rectangle's length is represented by
The width of the rectangle is
The duration considered is
Mathematically, the overall electromagnetic energy incident on the area is given by
where A denotes the area of the rectangle, calculated as
By plugging in the respective values
Again substituting values
Answer:
(a) the coefficient of friction is 0.451
This was derived using the energy conservation principle (the total energy in a closed system remains constant).
(b) No, the object stops 5.35 m away from point B. This is due to the spring's expansion only performing 43 J of work on the block, which isn't sufficient compared to the 398 J required to overcome friction.
Explanation:
For more details on how this issue was resolved, refer to the attached material. The solution for part (a) separates the body’s movement into two segments: from point A to B, and from B to C. The total system energy originates from the initial gravitational potential energy, which transforms into work against friction and into work compressing the spring. A work of 398 J is needed to counteract friction over the distance of 6.00 m. The energy used for this is lost since friction is not a conservative force, leaving only 43 J for spring compression. When the spring expands, it exerts a work of 43 J back on the block, which is only sufficient to move it through a distance of 0.65 m, stopping 5.35 m short of point B.
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Explanation:
Please refer to the attachment for the solution.
