At time t=0 a particle starts moving along the x axis. If its kinetic energy increases uniformly with t, the net force acting on it must be

Answer 1

E_k = ct (given with initial E_k = 0)

m/2 * d(v²)/dt = c mv(dv/dt) = c m(dv/dt) = c/v (Take derivative and rearrange)

but m(dv/dt) = F (Newton's 2nd Law)

so, F = c/v

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