A constant electric field accelerates a proton from rest through a distance of $1\mathrm{.}50$ m to a speed of $1\mathrm{.}97105$ m$/$s$.($The mass and charge of a proton are

mp $=1\mathrm{.}671027$ kg

and

qp $=$ e $=1\mathrm{.}601019$ C$.)$

HINT

$($a$)$

Find the change in the proton's kinetic energy $($in J$).$

J

$($b$)$

Find the change in the system's electric potential energy $($in J$).$

J

$($c$)$

Calculate the magnitude of the electric field $($in N$/$C$).$

N$/$C