Q 3.5: An amoeba of mass 1 * 10(-12)kg propels itself through water by blowing a jet of water through a tiny orifice. The amoeba ejects water with a speed of 1 * 10(-4)m/s at a rate of 1 * 10(-12)kg/s. Assume that the water is continuously replenished so that the mass of the amoeba remains the same.
(a) If there were no force on amoeba other then the reaction force caused by the emerging jet, what would be the acceleration of the amoeba?
(b) If amoeba moves with constant velocity through water, what is force of surrounding water (exclusively of jet) on the amoeba?