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Newton's second law of motion
Figure 5 and Eq. (28) indicate why Newton's second law of
motion, expressed mathematically as F=m·a, is not consistent with experimental results
involving bodies moving with very high velocities through the qm (e.g. particles moving at
high speeds in particle accelerators). When a body is moving with high absolute velocity so
that its internal energy is high relative to its at-rest energy, a small change in the body's
velocity results in a large change in the asymmetry and internal energy. As a result, more
work is required for a given change in the body's velocity, and more force is required for a
given acceleration. When a force (F) is accelerating a body, part of the force goes
into changing the body's mass and part of the force goes into changing the body's velocity.
The mass changing force component (Fm) and velocity
changing force component (Fv) depend on the body's
absolute velocity, va, as follows.
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(29) |
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(30) |
The body's acceleration depends on the velocity changing force component as follows.
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(31) |
Combining Eqs. (31), (30) and (8), Newton's second law of motion can be modified to
make it consistent with experimental results involving bodies moving with high velocities.
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(32) |
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