Aproton with mass 1.67×10−27kg is propelled at an initial speed of 3.00×105m/s directly toward a uranium nucleus 5.00 m away. the proton is repelled by the uranium nucleus with a force of magnitude f=α/x2, where x is the separation between the two objects and α=2.12×10−26n⋅m2. assume that the uranium nucleus remains at rest. what is the speed of the protonwhen it is 8.00*10^-10m from the uranium nucleus?

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?