A constant electric field accelerates a proton from rest through a distance of 2.05 m to a speed of 1.77 10⁵ m/s. (The mass and charge of a proton are

m_p = 1.67 10²⁷ kg

and

q_p = e = 1.60 10¹⁹ C.)

(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).