4. Based on the following equation, express the variable q, in terms of fundamental dimensions (mass,...
4. Based on the following equation, express the variable q, in terms of fundamental dimensions (mass, temperature, length, etc.).
L = λP² + q
where L [=] candela per square inch [cd/in²];
P [=] watt [W]
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4. Based on the following equation, express the variable q, in
terms of fundamental dimensions (mass,...
please show work. Part C Find the dimensions [v] of speed. Express your answer as powers...
please show work.
Part C Find the dimensions [v] of speed. Express your answer as powers of length (/), mass (m), and time t View Available Hint(s) 11에 Submit There are three dimensions used in mechanics: length (), mass (m), and time (t). A combination of these three dimensions suffices to express any physical quantity, because when a new physical quantity is needed (e.g., velocity), it always obeys an equation that permits it to be expressed in terms of the...
A1 Write the dimensions of the following properties in terms of the basic dimensions mass [M],...
A1 Write the dimensions of the following properties in terms of the basic dimensions mass [M], length [L] and time IT] Force Velocity Pressure Density 4 marks) A2 A mercury barometer measures atmospheric pressure as a column 767 mm in height If the density of mercury is 13700 kg/m3, What is the atmospheric pressure in Pa? and in bar? (4 marks) ?? Water (density 1000 kg/m3 and viscosity O.001 kg/ms) is flowing in a 10 cm diameter pipe at 4...
4. A rubber band of dimensions 10 mm x 2 mmx 200 mm is stretched 5...
4. A rubber band of dimensions 10 mm x 2 mmx 200 mm is stretched 5 times its original length at 20�C. Calculate the heat gained or lost. The number of chains per unit m^3 is 1.9 x 10^26.Where w is the work per unit volume. Delta U = delta W + delta Q (U = internal energy of system, W = total work performed on the system. Q = heat added to the system). Hint: you need to assume...
A particle of mass m and of negligible dimensions is fixed to the end of a...
A particle of mass m and of negligible dimensions is fixed to the end of a uniform slender bar of mass m and length L. The compound particle-bar is released from rest in the vertical position (O=0) and given a slight nudge such that the center of its square end pivots about the corner o. The bar is observed to slip when the angle reaches the critical value 0=6c. YOUR CHOICE: Use the following parameter values: m=0.25kg, L=0.75 m &...
Q 4. (a) A body of mass m is moving in two dimensions in a constant...
Q 4. (a) A body of mass m is moving in two dimensions in a constant z plane. Consider a coordinate system that rotates with constant angular speed 1 about the z-axis. In a fixed coordinate system (in the constant z plane), define the plane polar coordinates (r,0) while defining (r, ) as the corresponding plane polar coordinates in the rotating system. (i) In terms of the coordinate system rotating with constant angular speed 1, write down the kinetic energy...
4. Consider the time-independent Schrödinger equation for an "atom" in which the attractive force...
4. Consider the time-independent Schrödinger equation for an "atom" in which the attractive force between the electron and the proton is modeled as a spring. Then V(r)- (1/2)mu22, where m is the mass of the electron and w is the natural frequency of oscillation You're goal is to determine the eigenenergies of the electron and the corresponding wave functions, as outlined below Let's again start with the radial equation associated with the Schrodinge equation 4.37 in Griffiths [where u(r) R(r)...
Example 1 A star undergoes some mode of oscillation. Scientists/engineers have hypothesized that the oscillation frequency...
Example 1 A star undergoes some mode of oscillation. Scientists/engineers have hypothesized that the oscillation frequency (cycles per second), o, is dependent on the density p and the radius R and the gravitational constant G which appears in Newton's law of universal gravitation. If you are not familiar with the gravitational constant, read the section on mass and weight in Chapter 4 (Dimensions/units) of the text. Therefore, w has dimensions (T), and P, R, Gare the governing parameters, with dimensions...
1. Express the answer to the following problems using the correct number of significant figures a....
1. Express the answer to the following problems using the correct number of significant figures a. 1.144 x 10 20.0 b. 4.77 x 101 -9.16 x 10 2. Express the Boltzmann constant (1.38065 x 102" kg m's K') in units of miles' lb yrK 3. Convert 9.997 x 101 g cm* into kg km 4. The Reynolds number is used to deseribe the conditions of particle settling If the Reynolds number is given by the following equation Where v, is...
Review Select the correct equation for Newton's second law for the mass before the launch and...
Review Select the correct equation for Newton's second law for the mass before the launch and during takeoff. View Available Hint(s) Just before launching from earth, an astronaut ties a small mass m to the ceiling of his cockpit using a string of length L and mass per unit length . The mass of the string is significantly smaller than the mass of the tied object. He then plucks the string and measures the frequency of its n 1 and...
2) A. Linearize the following equation where s and t are the variables: pep B. What are the slope and intercept of you...
2) A. Linearize the following equation where s and t are the variables: pep B. What are the slope and intercept of your new equation? C. Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration, and t is a time) 3) A. Linearize the following equation where D and h are the variables: B. What are the slope and intercept of your new equation? C. Check that your new...
please show work.
Part C Find the dimensions [v] of speed. Express your answer as powers of length (/), mass (m), and time t View Available Hint(s) 11에 Submit There are three dimensions used in mechanics: length (), mass (m), and time (t). A combination of these three dimensions suffices to express any physical quantity, because when a new physical quantity is needed (e.g., velocity), it always obeys an equation that permits it to be expressed in terms of the...
A1 Write the dimensions of the following properties in terms of the basic dimensions mass [M], length [L] and time IT] Force Velocity Pressure Density 4 marks) A2 A mercury barometer measures atmospheric pressure as a column 767 mm in height If the density of mercury is 13700 kg/m3, What is the atmospheric pressure in Pa? and in bar? (4 marks) ?? Water (density 1000 kg/m3 and viscosity O.001 kg/ms) is flowing in a 10 cm diameter pipe at 4...
4. A rubber band of dimensions 10 mm x 2 mmx 200 mm is stretched 5 times its original length at 20�C. Calculate the heat gained or lost. The number of chains per unit m^3 is 1.9 x 10^26.Where w is the work per unit volume. Delta U = delta W + delta Q (U = internal energy of system, W = total work performed on the system. Q = heat added to the system). Hint: you need to assume...
A particle of mass m and of negligible dimensions is fixed to the end of a uniform slender bar of mass m and length L. The compound particle-bar is released from rest in the vertical position (O=0) and given a slight nudge such that the center of its square end pivots about the corner o. The bar is observed to slip when the angle reaches the critical value 0=6c. YOUR CHOICE: Use the following parameter values: m=0.25kg, L=0.75 m &...
Q 4. (a) A body of mass m is moving in two dimensions in a constant z plane. Consider a coordinate system that rotates with constant angular speed 1 about the z-axis. In a fixed coordinate system (in the constant z plane), define the plane polar coordinates (r,0) while defining (r, ) as the corresponding plane polar coordinates in the rotating system. (i) In terms of the coordinate system rotating with constant angular speed 1, write down the kinetic energy...
4. Consider the time-independent Schrödinger equation for an "atom" in which the attractive force between the electron and the proton is modeled as a spring. Then V(r)- (1/2)mu22, where m is the mass of the electron and w is the natural frequency of oscillation You're goal is to determine the eigenenergies of the electron and the corresponding wave functions, as outlined below Let's again start with the radial equation associated with the Schrodinge equation 4.37 in Griffiths [where u(r) R(r)...
Example 1 A star undergoes some mode of oscillation. Scientists/engineers have hypothesized that the oscillation frequency (cycles per second), o, is dependent on the density p and the radius R and the gravitational constant G which appears in Newton's law of universal gravitation. If you are not familiar with the gravitational constant, read the section on mass and weight in Chapter 4 (Dimensions/units) of the text. Therefore, w has dimensions (T), and P, R, Gare the governing parameters, with dimensions...
1. Express the answer to the following problems using the correct number of significant figures a. 1.144 x 10 20.0 b. 4.77 x 101 -9.16 x 10 2. Express the Boltzmann constant (1.38065 x 102" kg m's K') in units of miles' lb yrK 3. Convert 9.997 x 101 g cm* into kg km 4. The Reynolds number is used to deseribe the conditions of particle settling If the Reynolds number is given by the following equation Where v, is...
Review Select the correct equation for Newton's second law for the mass before the launch and during takeoff. View Available Hint(s) Just before launching from earth, an astronaut ties a small mass m to the ceiling of his cockpit using a string of length L and mass per unit length . The mass of the string is significantly smaller than the mass of the tied object. He then plucks the string and measures the frequency of its n 1 and...
2) A. Linearize the following equation where s and t are the variables: pep B. What are the slope and intercept of your new equation? C. Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration, and t is a time) 3) A. Linearize the following equation where D and h are the variables: B. What are the slope and intercept of your new equation? C. Check that your new...
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