Use dimensional analysis to: (NOTE ¯h means h-bar) a) Determine the Plank mass mp = sqrt(¯hc/G)...
Use dimensional analysis to: (NOTE ¯h means h-bar)
a) Determine the Plank mass mp = sqrt(¯hc/G) has units of mass (¯h = h/(2π))
b) Determine the Plank length lp, i.e. the combination of units h, G, c that has units of length.
Homework Answers
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Use dimensional analysis to: (NOTE ¯h means h-bar)
a) Determine the Plank mass mp = sqrt(¯hc/G)...
This question is worth 20 marks Figure 2 shows a decorator's plank, which is 5 m in length, supported on two trestles. The mass of the plank is 37 kg and the mass of the decorator is 70 kg. In or...
This question is worth 20 marks Figure 2 shows a decorator's plank, which is 5 m in length, supported on two trestles. The mass of the plank is 37 kg and the mass of the decorator is 70 kg. In order to paint a stairwell the decorator has to position themselves at point A, as shown on Figure 2. To stop the plank tipping, the decorator's assistant attaches weights to a rope at point B Figure 2 The decorator's plank...
A rigid, uniform, horizontal bar of mass m1 and length L is supported by two identical massless strings. (Figure 1) Bot...
A rigid, uniform, horizontal bar of mass m1 and length L is
supported by two identical massless strings. (Figure 1) Both
strings are vertical. String A is attached at a distance d<L/2
from the left end of the bar and is connected to the ceiling;
string B is attached to the left end of the bar and is connected to
the floor. A small block of mass m2 is supported against gravity by
the bar at a distance x from...
HNTV 8) Suppose v(y) = A Sin By, and y(y)=B Cos By are each solution to...
HNTV 8) Suppose v(y) = A Sin By, and y(y)=B Cos By are each solution to the particle in the box problem with the Hamiltonian, H = -(h/8x ma?)d/dy. Show that the linear combination (y) - A Sin By - B Cos By is also a solution and then determine the eigenvalue. (Hint: Hv=Ev). The Synthesis of 1,3,5,7,9,11,13-tetradecaheptaene conjugated compound with the formula H-[CH=CH]7-H produced a trace amount as reported by (Alexander Mebane, JACS 74 (20), page 5227-5229 (1952). The...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
please show all work, no cursive. math work should be in dimensional analysis and use starting...
please show all work, no cursive.
math work should be in dimensional analysis and use starting
amount and make sure each number has its units so that I can
understand how to do this.
5) Aluminum reacts with hydrochloric acid to produce hydrogen gas according to the equation below. 2 Al(s) + 6 HCl (aq) + 2 H2 (g) + 3 AlCl3 (aq) a. Balance the equation. (2 pts) b. What volume of hydrogen gas (in mL) is produced when...
1. A football has a mass of mp = 0.413 kg. It can be approximated as...
1. A football has a mass of mp = 0.413 kg. It can be approximated as an ellipsoid 6 in diameter and 12 in long. A 'Hail Mary' pass is thrown upward at a 45° angle with an initial velocity of 55 mph. Air density at sea level is p= 1.22 kg/m². Neglect any spin on the ball and any lift force. Assume turbulent flow and a constant air-drag coefficient of Cp = 0.13. The equation of motion of the...
1) For the following determine the molecular weight and the molar mass. Round all mass to two decimal points. (5) S...
1) For the following determine the molecular weight and the molar mass. Round all mass to two decimal points. (5) Substance Melecular weight am Molar mass (g) LiP MON ZASO, Nichek) nitrate Irell) phosphate For the following mole calculations use dimensional analysis, showing the canceling of the units, and retain in your answer the number of significant figures in the measurements that is initially given to you. 2) Convert the following mass values to moles or mole values to masses....
You will look at both 1st and 2nd order approaches as you perform your analysis. Use math lab and Simulink as needed. Please show all calculations and any other means of analysis / simulation for full...
You will look at both 1st and 2nd order
approaches as you perform your analysis. Use math lab and Simulink
as needed.
Please show all calculations and any other means of analysis /
simulation for full credit.
Question three is the one needed to be solved, but 2 is needed
to solve 3.
Question 2) (25 points) Suppose instead of the cooling chamber modeled as a 1t order system, that the chamber was modeled as a 2nd system due to...
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To apply the equations of motion to a system that involves rotation about a fixed axis and to use this information to determine key characteristics. The slender rod AB shown has a mass of m=57.0 kg an...
To apply the equations of motion to a system that involves
rotation about a fixed axis and to use this information to
determine key characteristics.
The slender rod AB shown has a mass of m=57.0 kg and is being
supported by a rope and pulley system stationed at C. Starting from
rest (in the position shown), the rope and pulley system tug on the
rod causing it to rotate about A. The torque applied to the pulley
is T=2.25 kN⋅m...
This question is worth 20 marks Figure 2 shows a decorator's plank, which is 5 m in length, supported on two trestles. The mass of the plank is 37 kg and the mass of the decorator is 70 kg. In order to paint a stairwell the decorator has to position themselves at point A, as shown on Figure 2. To stop the plank tipping, the decorator's assistant attaches weights to a rope at point B Figure 2 The decorator's plank...
A rigid, uniform, horizontal bar of mass m1 and length L is
supported by two identical massless strings. (Figure 1) Both
strings are vertical. String A is attached at a distance d<L/2
from the left end of the bar and is connected to the ceiling;
string B is attached to the left end of the bar and is connected to
the floor. A small block of mass m2 is supported against gravity by
the bar at a distance x from...
HNTV 8) Suppose v(y) = A Sin By, and y(y)=B Cos By are each solution to the particle in the box problem with the Hamiltonian, H = -(h/8x ma?)d/dy. Show that the linear combination (y) - A Sin By - B Cos By is also a solution and then determine the eigenvalue. (Hint: Hv=Ev). The Synthesis of 1,3,5,7,9,11,13-tetradecaheptaene conjugated compound with the formula H-[CH=CH]7-H produced a trace amount as reported by (Alexander Mebane, JACS 74 (20), page 5227-5229 (1952). The...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
please show all work, no cursive.
math work should be in dimensional analysis and use starting
amount and make sure each number has its units so that I can
understand how to do this.
5) Aluminum reacts with hydrochloric acid to produce hydrogen gas according to the equation below. 2 Al(s) + 6 HCl (aq) + 2 H2 (g) + 3 AlCl3 (aq) a. Balance the equation. (2 pts) b. What volume of hydrogen gas (in mL) is produced when...
1. A football has a mass of mp = 0.413 kg. It can be approximated as an ellipsoid 6 in diameter and 12 in long. A 'Hail Mary' pass is thrown upward at a 45° angle with an initial velocity of 55 mph. Air density at sea level is p= 1.22 kg/m². Neglect any spin on the ball and any lift force. Assume turbulent flow and a constant air-drag coefficient of Cp = 0.13. The equation of motion of the...
1) For the following determine the molecular weight and the molar mass. Round all mass to two decimal points. (5) Substance Melecular weight am Molar mass (g) LiP MON ZASO, Nichek) nitrate Irell) phosphate For the following mole calculations use dimensional analysis, showing the canceling of the units, and retain in your answer the number of significant figures in the measurements that is initially given to you. 2) Convert the following mass values to moles or mole values to masses....
You will look at both 1st and 2nd order
approaches as you perform your analysis. Use math lab and Simulink
as needed.
Please show all calculations and any other means of analysis /
simulation for full credit.
Question three is the one needed to be solved, but 2 is needed
to solve 3.
Question 2) (25 points) Suppose instead of the cooling chamber modeled as a 1t order system, that the chamber was modeled as a 2nd system due to...
To apply the equations of motion to a system that involves
rotation about a fixed axis and to use this information to
determine key characteristics.
The slender rod AB shown has a mass of m=57.0 kg and is being
supported by a rope and pulley system stationed at C. Starting from
rest (in the position shown), the rope and pulley system tug on the
rod causing it to rotate about A. The torque applied to the pulley
is T=2.25 kN⋅m...
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