6) Locate the center of mass of the following molecules: (a) The HCI molecule has a dumbbell shape, as shown below, with the atoms separated by 1.30 × 10-¹0 m. The mass of the H atom is 1 u and that of the Cl atom is 35 u. (b) The H₂O molecule is also shown below. The mass of the O atom is 16 u. The H and O atoms are separated by 1 × 10-1⁰ m and the bond angle is 105⁰. H CL 0 H 105° H

6) Locate the center of mass of the following molecules: (a) The HCI molecule has a dumbbell shape, as shown below, with the atoms separated by 1.30 × 10-¹0 m. The mass of the H atom is 1 u and that of the Cl atom is 35 u. (b) The H₂O molecule is also shown below. The mass of the O atom is 16 u. The H and O atoms are separated by 1 × 10-1⁰ m and the bond angle is 105⁰. H CL 0 H 105° H

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 61P

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6) Locate the center of mass of the following molecules: (a) The HCl molecule has a dumbbell shape, as shown below, with the atoms separated by 1.30 × 10−10 m. The mass of the H atom is 1 u and that of the Cl atom is 35 u. (b) The H2O molecule is also shown below. The mass of the O atom is 16 u. The H and O atoms are separated by 1 × 10−10 m and the bond angle is 105 I need draw picture and show all work
Given velocities of atom A is moving east with a velocity of 30.0 µm/s and collides with atom B moving at 20.0µm/s. Calculate the velocity after collision of the atoms.
Two atoms collide while moving in a gas. The larger atom has a mass M, = 6 Daltons and a speed v, = 226 m/s, while the smaller has a mass M, = 1 Daltons (D). During the collision both atoms simply bounce off each other. They do not change their speeds, but after che collision they each reverse their directions, bouncing straight back. (You may express your results using the mass unit "Daltons". 1 Dalton is approximately equal to the mass of a proton or neutron and is defined as one-twelfth the mass of a single neutral carbon-12 atom in its ground state.) M2 A. What is the magnitude of the change in the momentum, Ap1, of mass M1? D m/s B. If the collision took place over a time interval of 5 ns, what is the average acceleration experienced by the atom M,? (Note: 1 ns = 1 x 1o-9 s. You can enter your answer in scientific notation using e, like 1.2e3 for 1200.) m/s/s
Two balls with masses and speed as shown collide into each other. Their plane of contact is vertical. Determine their respective speed after the collision if the coefficient of restitution e is 0.5 and determine also the average impulsive force that acts between them if the two balls are in contact for 0.5sec. plane of contact m= 0.5 kg A= 3 m/s mg = 0.8 kg V3=5 m/s
A water molecule consists of an oxygen atom with two hydrogen atoms bound to it. The angle between the two bonds is 106°. If bonds are 0.100 nm long, where is the center of mass of the molecule?
Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering 197 helium-4 nuclei (“He) from gold-197 nuclei (19 Au). The energy of the incoming helium nucleus was 7.91 x 1013 J, and the masses of the helium and gold -25 nuclei were 6.68 x 10-27 kg and 3.29 × 10¯ kg, respectively (note that their mass ratio is 4 to 197. Assume that the helium nucleus travels in the +x-direction before the collision.) (a) If a helium nucleus scatters to an angle of 108° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. 120° He nucleus Gold nucleus 4He speed m/s 197, Au velocity m/s 197 Au direction ° counterclockwise from the +x-axis (b) What is the final kinetic energy (in J) of the helium nucleus?
The answer I have is 0 kg m/s, not 24 kg m/s. I was just not sure how to calculate to get 0 kh m/s. Can you recheck the problem to see if it was done correctly? Thanks.
Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (ªHe) from gold-197 nuclei (197 Au). The energy of the incoming helium nucleus was 7.28 × 10-13 J, and the masses of the helium and gold nuclei were 6.68 × 10-27 kg and 3.29 × 10-25 kg, respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.) (a) If a helium nucleus scatters to an angle of 136° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. 4He speed 197 Au velocity t 197 Au direction 14500000 0.0140 -17 m/s X m/s ° counterclockwise from the +x-axis (b) What is the final kinetic energy (in J) of the helium nucleus? 7.02e-13 J
Sulfur dioxide 1SO22 consistsof two oxygen atoms (each of mass 16 u, where u is defined inProblem 39) and a single sulfur atom (of mass 32 u). The centerto-center distance between the sulfur atom and either of the oxygen atoms is 0.143 nm, and the angle formed by the three atoms is120°, Find the x and y coordinates of thecenter of mass of this molecule.
A typical person begins to lose consciousness if subjected to accelerations greater than about 5g (49.0 m/s2) for more than a few seconds. Suppose a 2.70 ✕ 104 kg manned spaceship's engine has an exhaust speed of 3.50 ✕ 103 m/s. What maximum burn rate |ΔM/Δt| (in kg/s) could the engine reach before the ship's acceleration exceeded 5g and its human occupants began to lose consciousness? (Enter the magnitude.)
Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.34 x 10-13 J, and the masses of the helium and gold nuclei were 6.68 x 10-27 kg and 3.29 × 10-25 kg, respectively (note that their mass ratio is 4 to 197. Assume that the helium nucleus travels in the +x-direction before the collision.) (a) If a helium nucleus scatters to an angle of 145° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. He nucleus 4He speed 197 Au velocity 197 Au direction m/s m/s ° counterclockwise from the +x-axis (b) What is the final kinetic energy (in J) of the helium nucleus? 120° Gold nucleus
A typical person begins to lose consciousness if subjected to accelerations greater than about 5g (49.0 m/s2) for more than a few seconds. Suppose a 2.40 ✕ 104 kg manned spaceship's engine has an exhaust speed of 2.60 ✕ 103 m/s. What maximum burn rate |ΔM/Δt| (in kg/s) could the engine reach before the ship's acceleration exceeded 5g and its human occupants began to lose consciousness? (Enter the magnitude.) ?kg/s