A beetle that has an inertia of \(4.0 \times 10^{-6} \mathrm{~kg}\) sits on the floor. It jumps by using its muscles to push against the floor and raise its center of mass.

(a) If its center of mass rises \(0.75 \mathrm{~mm}\) while it is pushing against the floor and then continues to travel up to a height of \(300 \mathrm{~mm}\) above the floor, what is the magnitude of the force exerted by the floor on the beetle?

(b) What is the beetle's acceleration during the motion?