A short hammer blow delivers an impulse of to a nail

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Linear Momentum · Linear Momentum

Problem

A short hammer blow delivers an impulse of

3.6\,\text{N}\!\cdot\!\text{s}

to a nail. The time profile of the force during the blow can be approximated by a triangle that lasts

0.12\,\text{s}

and rises linearly from zero to a peak value

F_{\text{max}}

at mid-interval before falling back to zero. Determine

F_{\text{max}}