1. Iron has a density of 7.87 g/cm', and the mass of one iron atom is 9.27 x 10-26 kg. a. How many iron atoms are there in a volume of 1 cm3? b. What is the volume of one iron atom in m'? 2. Anto is moving northward with a velocity of 10 m/s, while Budi is moving westward with a velocity of 10 m/s. a. Calculate the magnitude of Anto's velocity relative to Budi. b. In which direction is Anto moving as seen by Budi? c. Illustrate the relative motion vector. 3. A conservative force F(x) acts on a mass 2 kg object moving along the x-axis. The potential energy U(x) of F(x) is shown in the figure below. When the object is at x = 2 m, its velocity is -1.5 m/s. Determine: a. The value of F(x) at x = 2 m and its direction. b. The object's position while moving to the left. c. The object's position while moving to the right. d. The object's velocity when x = 7. 10 15 -5 -10 U(x) (J) 5-15 -204. A charged particle of 10 uC is located at the point (0, 0, 0) m. a. Calculate the potential difference between point A (4, 0, 0) m and point B (0, 3, 0) m due to the charge of the particle. b. How many electron volts (ev) of work is required to move a proton from point A to point B? 5. The diagram below represents a mass spectrometer for measuring the mass of an ion. In the diagram, S represents the ion source, which is accelerated by a potential difference V, then enters a region with a magnetic field B and a velocity v. Since v is perpendicular to B, the ion's path forms a half-circle. With a radius of r, it eventually strikes the detector. When B = 80 mT, potential difference V = 1000 Volts, and ion charge q = 1.6 x 10^-19 C strikes the detector at a distance x = 1.6 m, calculate the mass of the ion. Detector