Solve the Problem $m$ And Charge $q$ Moving in an Electric Field E Has an Acceleration a Charge

question 154

Multiple Choice

Solve the problem.
-A charged particle of mass $m$ and charge $q$ moving in an electric field E has an acceleration a given by $\mathrm { a } = \frac { \mathrm { qE } } { \mathrm { m } }$ ,
where $q$ and $E$ are constants. Find $\frac { d ^ { 2 } a } { d m ^ { 2 } }$ .

• A) \(\frac { d ^ { 2 } a } { d m ^ { 2 } } = \frac { q E } { 2 m }\)
• B) \(\frac { \mathrm { d } ^ { 2 } \mathrm { a } } { \mathrm { dm } ^ { 2 } } = - \frac { \mathrm { qE } } { \mathrm { m } ^ { 2 } }\)
• C) \(\frac { d ^ { 2 } a } { d m ^ { 2 } } = \frac { 2 q E } { m ^ { 3 } }\)
• D) \(\frac { \mathrm { d } ^ { 2 } \mathrm { a } } { \mathrm { dm } ^ { 2 } } = \frac { \mathrm { q } E } { \mathrm {~m} ^ { 3 } }\)

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Definitions:

Axosecretory Synapses

Specialized synapses where an axon terminal secretes neurotransmitters directly into the bloodstream.

Transmitters

Chemical agents released by neurons that cross synapses to carry signals to other neurons or muscles.

Transporter Proteins

Proteins that move molecules across cell membranes, playing critical roles in nutrient uptake, neurotransmitter clearance, and waste removal.

Presynaptic Axon

The part of an axon that is situated at the presynaptic side of a synapse, responsible for releasing neurotransmitters.