C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn1cn²Gn3 where: the Plank constant: h = 1.0545717260000002 x 10-34kg m²s-1 the light speed: and the universal constant of gravity: %3D c = 299792458 m/s = 6.673848 x 10-11kg¬1m³s-2 %3D n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. Example: {velocity}Plank=c=3.00x108 m/s [n1=0, n2=1, n3=0] Calculate the natural unit of

C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn1cn²Gn3 where: the Plank constant: h = 1.0545717260000002 x 10-34kg m²s-1 the light speed: and the universal constant of gravity: %3D c = 299792458 m/s = 6.673848 x 10-11kg¬1m³s-2 %3D n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. Example: {velocity}Plank=c=3.00x108 m/s [n1=0, n2=1, n3=0] Calculate the natural unit of

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 83AP: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of...

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A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?
What is wrong with the following expressions? How can you correct them? (a) C=AB , (b) C=AB , (c) C=AB , (d) C=AB , (e) C+2A=B , (f) C=AB , (g) AB=AB , (h) C=2AB , (i) C=A/B , and (j) C=A/B .
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In SI units, speeds are measured in meters per second (m/s). But, depending on where you live, you’re probably mole comfortable of thinking of speeds in terms of either kilometers per hour (km/h) or miles per hour (mi/h). In this problem, you will see that 1 m/s is roughly 4 km/h or 2 mi/h, which is handy to use when developing your physical Intuition. More precisely, show that (a) 1.0m/s=3.6km/h and 1.0m/s=2.2mi/h .
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C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= hnlcn2Gn3 h = 1.0545717260000002 x 10-34kg m?s-1 c = 299792458 m/s where: the Plank constant: the light speed: and the universal constant of gravity: = 6.673848 x 10-11kg¬1m³s¬2 n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. Example: {velocity}plank=C=3.00x10® m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= acceleration {a}Plank (3 significant n2= {a}Plank= x 10 m/s? figures) [find n1, n2, n3 and take special care of the order of magnitude] D) Find the area of Palestine in square miles: Apalestine=27000km²= x mile?. Find x. n3= Use: 1 mile=5280 ft ... 1ft=12 inch ... linch=2.54 cm X =
C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn1cn2Gn3 h = 1.0545717260000002 x 10-34kg m²s-1 c = 299792458 m/s where: the Plank constant: the light speed: and the universal constant of gravity: kg¬!m³s-2 n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. = 6.673848 x 10-11 Example: {velocity}Plank=c=3.00x10® m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= acceleration {a}Plank (3 slgnificant n2= {a}Plank= х 10 m/s? figures) [find n1, n2, n3 and take special care of the order of magnitude] n3= D) Find the area of Palestine in square miles: Apalestine=27000km²= x mile?. Find x. Use: 1 mile=5280 ft ... 1ft=12 inch ... 1inch=2.54 cm х
ipa Suppose (p | ) = e¯. What is (x | b) =? V2nh 8 (x – x') 2nh Vasi 8 (x – x') 2πh 8 (x – x') O O
C) The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħn'cn² G™³ where: the Plank constant: ħ = 1.0545717260000002 x 10-34kg m²s-1 the light speed: and the universal constant of gravity: n1, n2 and n3 are suitable numbers that ensure the correct dimension of Q. c = 299792458 m/s = 6.673848 x 10-1'kg¬'m³s-2 Example: {velocity}plank=C=3.00x10® m/s [n1=0, n2=1, n3=0] Calculate the natural unit of n1= Volume {V}Plank (3 signiflcant n2= {V}plank= x 10 m/s? figures) [find n1, n2, n3 and take special care of the order of magnitude] n3=
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?