Consider a system of two particles in the xy plane: m₁ = 2.20 kg is at the location ₁ = (1.00 +2.00ĵ) m and has a velocity of (3.001 +0.500ĵ) m/s; m₂ = 3.50 kg is at r₂ = (-4.001 - 3.00ĵ) m an has velocity (3.001 - 2.00ĵ) m/s. (a) Plot these particles on a grid or graph paper. Draw their position vectors and show their velocities. (Include the center of mass of the system and its velocity found below. Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Find the position of the center of mass (in m) of the system and mark it on the grid. XCM Усм m Vx,CM Vy,CM m (c) Determine the velocity of the center of mass (in m/s) and also show it on the diagram. m/s m/s (d) What is the total linear momentum of the system (in kg m/s)? Px kg. m/s ka: m/s

A 58-kg diver is standing on a platform that is 35 meters above the surface of the water. He steps off the platform with zero initial velocity and descends toward the water below. Assuming that no energy is lost to his surroundings, how much kinetic energy (in joules) does the diver have right before he hits the water?

a) What is the magnitude of energy (in MJ) that must be removed to freeze 377 L of water with a density of  999.8 Kg/m3 that is already at 0˚C [round your final answer to one decimal place]? {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg} b) The magnitude of energy that must be added to melt the same mass of ice (already at 0˚C) would be greater than the amount of energy that had to be removed in order to freeze it. TRUE OR FALSE {latent heats of water: Lf = 33.5 × 104 J/kg, and Lv = 22.6 × 105 J/kg}

One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r) = U0 [(r0 / r)16 - (r0 / r)9] where r0 = 0.70 nm and U0 = 7.0 eV. Note: 1 eV = 1.6*10-19 J. You can use SI units, but CAPA will also accept these units that will simplify your calculations: [Force] = eV/nm[Energy] = eV[distance] = nm r_eq = 7.6 *10^-1 nm If the distance between the atoms increases from equilibrium by r1 = 0.20 nm, then what is the force from one atom on the other associated with this potential energy? (Enter your answer as postive if they repel each other, and negative if they attract). F_r (r_eq +r_1) = ? The atoms are oscillating back and forth. The maximum separation of the atoms is r2 = 2.2 nm. What is the kinetic energy of the atoms when they are separated by the equilibrium distance? K(r_eq) = ?