The escape velocity of a body depended Upon mass as: (a) m^0 (b)m ^1 (c) m^2 (d) m^3
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- 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 JTwo identical cars, A and B, traveling at 55 mi/h collide head-on. A third identical car, C, crashes into a brick wall going 55 mi/h. Which car has the least damage: (a) car A, (b) car B, (c) car C, or (d) all the same? Why is the answer C?Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time, when they're not sleeping or eating, joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as 0.02450.0245 kg, 0.01470.0147 kg, 0.02390.0239 kg, and 0.01230.0123 kg. At this very instant, the x‑ and y‑components of the mice's velocities are, respectively, (0.515 m/s,−0.719 m/s), (−0.857 m/s,−0.215 m/s), (0.395 m/s,0.963 m/s), and (−0.743 m/s,0.759 m/s). Calculate the x‑ and y‑components of Bryce's mice's total momentum, px and py.
- In the ammonia (NH3) molecule of the figure, three hydrogen (H) atoms form an equilateral triangle, with the center of the triangle at distance d = 9.40 × 10−11 m from each hydrogen atom. The nitrogen (N) atom is at the apex of a pyramid, with the three hydrogen atoms forming the base. The nitrogen-to-hydrogen atomic mass ratio is 13.9, and the nitrogen-to-hydrogen distance is L = 10.14 × 10-11 m. What are the (a) x and (b) y coordinates of the molecule's center of mass? (a) Number Units (b) Number N L HO H d H This answer has no units Units This answer has no unitsWhen the mass of an object moving at a constant speed doubles, its momentum changes by a factor of _______, and its kinetic energy changes by a factor of _______.Problem 1: While sunbathing on the balcony of your 3rd floor apartment, you notice someone drop a m = 8.7 kg pumpkin from rest from the roof of the 5-story building across the street. Since you just completed a course on surveying, you know that the two identical buildings are d = 32 m apart, and have floors that are h = 4.9 m tall. The first floor is at ground level, as shown. Randomized Variablesm = 8.7 kgd = 32 mh = 4.9 m Part (a) Determine the magnitude of the angular momentum of the pumpkin, in kilogram meters squared per second, as observed by you immediately after it is dropped.Numeric : A numeric value is expected and not an expression.La = __________________________________________Part (b) Determine the magnitude of the angular momentum of the pumpkin, in kilogram meters squared per second, as observed by you as it passes the floor of the 4th floor balcony of the other building.Numeric : A numeric value is expected and not an expression.Lb =…
- In a research facility, a person lies on a horizontal platform which floats on a film of air. When the person's heart beats, it pushes a mass m of blood into the aorta with speed v, and the body and platform move in the opposite direction with speed V. Assume that the blood's speed is 56.5 cm/s. The mass of the person + platform is 54.0 kg. The platform moves 5.95 ✕ 10−5 m in 0.160 s after one heartbeat. Calculate the mass (in g) of blood that leaves the heart. Assume that the mass of blood is negligible compared with the total mass of the person, and the person + platform is initially at rest. (Also assume that the changes in velocity are instantaneous.)The uniform 19-m pole has a mass of 150 kg and is supported by its smooth ends against the vertical walls and by the tension Tin the vertical cable. Compute the magnitudes of the reactions at A and B. B T 12 m 7 m A 14 m Answers: FA = N FBThe 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.