5. Pressure, center of mass and heat: a. A nurse needs to inject liquid medicine into your body by exerting - N force onto a hypodermic syringe. If the barrel of the syringe has 2.0 x 105 m and syringe's needle has 1.0 x 106 m cross sectional areas, with what force does the medicine come out from the needle into your body? (5 points) b. There are two objects separated by C cm distance. One is 2.0 kg in mass on the left and the other one 4.0 kg in mass at the right, find the center of mass point of the system from the left object? (5 points) c. Calculate the energy needed to convert - kg of ice at zero degree into 20 'C water? The specific heat of water is 4186 J/kg C and latent heat of ice is 3.33 x105 J/kg. (8 points)