The standard atmospheric pressure is 1.013 25x105 Pa. Pa stands for pascal, which is equivalent to N/m². What is the standard atmospheric pressure in dynes/cm²?
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- CASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth representative on the interplanetary commission for unit conversions and find that 1 kg = 0.23 bloobits and 1 m = 1.41 bots. Express the density of a raisin (2 103 kg/m3) in Betatron units.Convert 1.050 g/cm3into base SI units. Express your answer in scientificnotation with the correct number of significant figures.The diameter of the spherical particle is (1.900x10^0) fm, and the mass is (2.51x10^-27) kg. Determine the density of this particle in kg/m3. Your numerical answer requires the correct number of significant digits.
- Angular momentum (L) of a thin slice rotating around an axis is given by 1. L = mr"wm where w is angular velocity, defined as w = 2nf The SI unit of L is kg.m²/s. r is the radius, m is the mass and fis the frequency. Find the values of n and m by doing dimensional analysis.The sides of a small rectangular box are measured to be (1.90 ± 0.01) cm, (2.00 ± 0.02) cm, and (3.1 ± 0.1) cm long. Calculate its volume and uncertainty in cm³. a. Its volume is b. The uncertainty on its volume is cm³. cm³.In this problem we will observe how the momentum of an electron changes as its velocity approaches the speed of light. The mass of an electron is 9.109 × 10-31 kg Part (a) First, what is the momentum of an electron which is moving at the speed of a car on a highway, say 31 m/s, in kilogram meters per second? Part (b) What is the momentum of an electron moving at 18 % of the speed of light, in kilogram meters per second? Part (c) What is the momentum of an electron moving at 81 % of the speed of light, in kilogram meters per second? Part (d) What is the non-relativistic momentum of an electron moving at this speed (81 % of the speed of light), in kilogram meters per second? Part (e) When the electron is moving at 81 % of the speed of light, how many times greater is the relativistic momentum than the non-relativistic
- Problem 2. Kinetic energy K has dimensions kg m² /s². It can be written in terms of the momen- tum and mass m as p2 K 2m (a) Determine the proper units for momentum using dimensional analysis. (b) The unit of force is hill Philiy %3D (0.1) the newton N, where 1N 1kg · m/s?. What are the units of momentum p in terms of a newton and another fundamental SI unit?The density of platinum is 21.45 x 103 kg/m3. a. Calculate the volume (in m3/atom) occupied per platinum atom b. Estimate the atomic diameter (in m);(The estimate uses the approximation that it is a cubic volume) c. Using this estimation, calculate the thickness of a metal foil (in m) containing 2.0 x 101 atomic layers of platinum.In this problem we will observe how the momentum of an electron changes as its velocity approaches the speed of light. The mass of an electron is 9.109 × 10-31 kg. (a) First, what is the momentum of an electron which is moving at the speed of a car on a highway, say 27 m/s, in kilogram meters per second? (b) What is the momentum of an electron moving at 19 % of the speed of light, in kilogram meters per second? (c) What is the momentum of an electron moving at 85 % of the speed of light, in kilogram meters per second? (d) What is the non-relativistic momentum of an electron moving at this speed (85 % of the speed of light), in kilogram meters per second? (e) When the electron is moving at 85 % of the speed of light, how many times greater is the relativistic momentum than the non-relativistic momentum? (f) Which of the following facts are true about the ratio of relativistic to non-relativistic momentum of an electron? It does not depend on the mass of the electron. It…
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