Provide an Appropriate Response $m$ And Charge $q$ Moving in an Electric Field

question 24

Multiple Choice

Provide an appropriate response.
-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 $\mathrm { q }$ and $\mathrm { E }$ are constants. Find $\frac { \mathrm { d } ^ { 2 } \mathrm { a } } { \mathrm { dm } ^ { 2 } }$ .

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