Respuesta :
ANSWER
[tex]\begin{gathered} (a)9.61\cdot10^{-17}N \\ (b)5.75\cdot10^{10}m\/s^2 \end{gathered}[/tex]EXPLANATION
(a) To find the force acting on the proton, we have to apply the formula representing the relationship between electric field and electric force:
[tex]F=qE[/tex]where q = charge of the proton
E = electric field
The charge of a proton is:
[tex]q=1.602\cdot10^{-19}C[/tex]Hence, the force acting on the proton by the electric field is:
[tex]\begin{gathered} F=1.602\cdot10^{-19}\cdot600 \\ F=9.61\cdot10^{-17}N \end{gathered}[/tex](b) To find the acceleration of the particle, apply the relationship between force and acceleration:
[tex]F=ma[/tex]where m = mass; a = acceleration
The mass of a proton is:
[tex]m=1.67\cdot10^{-27}\operatorname{kg}[/tex]Hence, the acceleration of the proton is:
[tex]\begin{gathered} 9.61\cdot10^{-17}=1.67\cdot10^{-27}\cdot a \\ \Rightarrow a=\frac{9.61\cdot10^{-17}}{1.67\cdot10^{-27}} \\ a=5.75\cdot10^{10}m\/s^2 \end{gathered}[/tex]