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2. Mass 1 is moving according to the law x-3t. Assuming corresponding values for radia of...
A particle moves along the x axis according to the equation X(t) = 2 + 3t...
A particle moves along the x axis according to the equation X(t) = 2 + 3t + 4t 2, where x is in meters and t is in seconds. What is the instantaneous acceleration at t = 3s A) 1.0 m/s? B) 3.0m/s? C) 4.0 m/s? D) 8.0 m/s? OOOO
4. Determine approximately the law of motion of a particle of mass m in the field...
4. Determine approximately the law of motion of a particle of mass m in the field Ucx) in the vicinity of turning point of motion E-Ua) where E is total energy. Proceed by expanding U(x) in a Taylor series about x-a. Consider the cases when (a) U(a)#0 and 5. Find the law according to which the period of motion T for a particle of mass nm moving in the field sketched below approaches infinity as ε=um-E goes to zero. The...
1. A) Create a table of x- and y-values for the parametric equations, x = 3t...
1. A) Create a table of x- and y-values for the parametric equations, x = 3t - 2 and y = 7 - 4t using t= -2,-1,0,1, and 2, and 6 S 4 3 6 5 4 3 2 1 2 4 5 6 2 B) plot the points (x, y) generated in part (A) and sketch the graph of the parametric equations.
3. Consider a particle of mass m moving in a potential given by: W (2, y,...
3. Consider a particle of mass m moving in a potential given by: W (2, y, z) = 0 < x <a,0 < y <a l+o, elsewhere a) Write down the total energy and the 3D wavefunction for this particle. b) Assuming that hw > 312 h2/(2ma), find the energies and the corresponding degen- eracies for the ground state and the first excited state. c) Assume now that, in addition to the potential V(x, y, z), this particle also has...
2m 3. As shown in the top view, a disc of mass m is v/2 moving...
2m 3. As shown in the top view, a disc of mass m is v/2 moving horizontally to the right with speed von a table with negligible friction when it collides with a second disc of mass 2m. The second disc is moving horizontally to the right with speed v/2 at Top View the moment before impact. The two discs stick together upon impact. What is the combined (total) kinetic energy of the composite body immediately after the collision? 2/3...
2) A mass of 4 kg is moving at 9 m/s in the +x direction which...
2) A mass of 4 kg is moving at 9 m/s in the +x direction which collides inelastically with a mass (mass 2) of 7 kg. After the collision, the masses are moving at 3 m/s in the +x direction. What is the average force on mass 2 in Newtons if the collision takes 0.1 seconds? If in the negative x direction, include a negative sign.
2) A mass of 4 kg is moving at 9 m/s in the +x direction which...
2) A mass of 4 kg is moving at 9 m/s in the +x direction which collides inelastically with a mass (mass 2) of 7 kg. After the collision, the masses are moving at 3 m/s in the +x direction. What is the average force on mass 2 in Newtons if the collision takes 0.1 seconds? If in the negative x direction, include a negative sign.
1. (constancy of "g") First, we ignore rotation. According to the law of gravitation the force...
1. (constancy of "g") First, we ignore rotation. According to the law of gravitation the force per unit mass on an object above Earth's surface has amplitude GM/r2, wherer is the distance from the object to the center of Earth, G is the gravitational constant and M is the mass of the earth. For a point in the atmosphere at elevation z above the surface, we can write r = 2 + a where a is the radius of a...
Problems 1-4: For a globular protein of diameter 6 nm, corresponding to a molecular mass of...
Problems 1-4: For a globular protein of diameter 6 nm, corresponding to a molecular mass of 100 kDa, 1. Calculate the mass in kg. 2. Calculate drag coefficient assuming η_1mPa's 3. Calculate viscous force at 25°C given: The average instantaneous thermal speed of a protein v-(3k*T/m)0.5 k is Boltzmann constant, 1.381 x 10-23 J/HK Tis the absolute temperature, 0 K-273.15°C 1J 1 N'm. 4. Calculate the speed of the protein caused by the centrifugal force. Assume that the centrifugal force...
Consider a spring of mass 1 Kg attached to a spring obeying Hooke's Law with spring...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
A particle moves along the x axis according to the equation X(t) = 2 + 3t + 4t 2, where x is in meters and t is in seconds. What is the instantaneous acceleration at t = 3s A) 1.0 m/s? B) 3.0m/s? C) 4.0 m/s? D) 8.0 m/s? OOOO
4. Determine approximately the law of motion of a particle of mass m in the field Ucx) in the vicinity of turning point of motion E-Ua) where E is total energy. Proceed by expanding U(x) in a Taylor series about x-a. Consider the cases when (a) U(a)#0 and 5. Find the law according to which the period of motion T for a particle of mass nm moving in the field sketched below approaches infinity as ε=um-E goes to zero. The...
1. A) Create a table of x- and y-values for the parametric equations, x = 3t - 2 and y = 7 - 4t using t= -2,-1,0,1, and 2, and 6 S 4 3 6 5 4 3 2 1 2 4 5 6 2 B) plot the points (x, y) generated in part (A) and sketch the graph of the parametric equations.
3. Consider a particle of mass m moving in a potential given by: W (2, y, z) = 0 < x <a,0 < y <a l+o, elsewhere a) Write down the total energy and the 3D wavefunction for this particle. b) Assuming that hw > 312 h2/(2ma), find the energies and the corresponding degen- eracies for the ground state and the first excited state. c) Assume now that, in addition to the potential V(x, y, z), this particle also has...
2m 3. As shown in the top view, a disc of mass m is v/2 moving horizontally to the right with speed von a table with negligible friction when it collides with a second disc of mass 2m. The second disc is moving horizontally to the right with speed v/2 at Top View the moment before impact. The two discs stick together upon impact. What is the combined (total) kinetic energy of the composite body immediately after the collision? 2/3...
1. (constancy of "g") First, we ignore rotation. According to the law of gravitation the force per unit mass on an object above Earth's surface has amplitude GM/r2, wherer is the distance from the object to the center of Earth, G is the gravitational constant and M is the mass of the earth. For a point in the atmosphere at elevation z above the surface, we can write r = 2 + a where a is the radius of a...
Problems 1-4: For a globular protein of diameter 6 nm, corresponding to a molecular mass of 100 kDa, 1. Calculate the mass in kg. 2. Calculate drag coefficient assuming η_1mPa's 3. Calculate viscous force at 25°C given: The average instantaneous thermal speed of a protein v-(3k*T/m)0.5 k is Boltzmann constant, 1.381 x 10-23 J/HK Tis the absolute temperature, 0 K-273.15°C 1J 1 N'm. 4. Calculate the speed of the protein caused by the centrifugal force. Assume that the centrifugal force...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
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