Homework Answers
a)Work energy theorem for rotational motion states that the change in kinetic energy of an object is equal to the net work done by all the torques on the object executing rotational motion
W(torque) = 1/2 I wf^2 - 1/2 I wi^2
b)The impulse moment theorem states that the impulse is equal to the change in momentum of the object, when it undergoes a change in momentum and it has a force applied for a certain amount of time.
J = m (v2 - v1) ; J = F t
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State a) work-energy theorem in rotational motion and b) momentum im
Calculate the moment of inertia, the magnitude of the rotational angular momentum, and the energy in the J - 4 rotational state for 14N2 Calculate the moment of inertia, the magnitude of the rot...
Calculate the moment of inertia, the magnitude of the rotational angular momentum, and the energy in the J - 4 rotational state for 14N2
Calculate the moment of inertia, the magnitude of the rotational angular momentum, and the energy in the J - 4 rotational state for 14N2
Problem 4) Consider the rotational motion of a molecule described by the Hami tonian H -...
Problem 4) Consider the rotational motion of a molecule described by the Hami tonian H - AL, where L is the total angular momentum operator. Add a perturbation g r, where g is a constant and r is the position operator for the x-direction. Find the shift in its ground state energy (the energy shift of the state with the lowest rotational energy) to first non-trivial order in q.
A certain molecule has a characteristic rotational energy of 8.26x10-4 eV. What is the energy of...
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(3) (10 pts): The work-energy theorem relates the change in kinetic energy of a particle to...
(3) (10 pts): The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: AK = W = | Fdx. a) Writing Newton's second law as F=dp/dt, show that W = S v dp and integrate by parts using the relativistic momentum to obtain E = mc²y b) Use the expression for the relativistic energy and relativistic momentum of a particle of mass m to demonstrate the important relation...
All of the following are vector quantities EXCEPT rotational kinetic energy centripetal acceleration angular momentum torque...
All of the following are vector quantities EXCEPT rotational kinetic energy centripetal acceleration angular momentum torque angular velocity
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Kinectic energy and power.
One way to store energy is in the rotational motion of a flywheel, and some have proposed using such technology to power automobiles. One unit is based on a 6.5-kg flywheel in the shape of a hoop of radius 5.0x10-2 m that spins as fast as 50000 rpm PartA How much kinetic energy is stored by the flywheel when it is rotating at its maximum rate? Express your answer to two significant figures and include appropriate...
Match the units with the rotational quantity: Moment of inertia Angular acceleration Torque Rotational kinetic energy...
Match the units with the rotational quantity: Moment of inertia Angular acceleration Torque Rotational kinetic energy Angular Momentum a. kg·m2/s b. J c. N·m d. kg m2 e. rad s-2
1. The wavefunction corresponding to Im> energy and angular momentum eigenstate of a particle rotating in...
1. The wavefunction corresponding to Im> energy and angular momentum eigenstate of a particle rotating in a ring for m-l and m--1 are, respectively N2T where ? is the angular position of the particle relative to thex axis (see slide 15 of lecture 74a). (a) show that the probability density does not depend on 0. (b) Show that P,(o)-sin() where p, (0) rticle in the quantum state V, (d) p, (0) obviously resembles one of the orbitals of the is...
State the laws of conservation of linear momentum and mechanical energy.
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The energy of motion is called: Kinetic energy. potential energy, inertial energy. Power. In an inelastic...
The energy of motion is called: Kinetic energy. potential energy, inertial energy. Power. In an inelastic collision: momentum is conserved. kinetic energy is conserved, both (a) and (b). If the velocity of a moving object is doubled and its mass is cut in half, the kinetic energy of the object is; remains the same, doubled quadrupled, cut in half. When the net work done on an object is speed of the object is me on an object is zero; the...
Calculate the moment of inertia, the magnitude of the rotational angular momentum, and the energy in the J - 4 rotational state for 14N2
Calculate the moment of inertia, the magnitude of the rotational angular momentum, and the energy in the J - 4 rotational state for 14N2
Problem 4) Consider the rotational motion of a molecule described by the Hami tonian H - AL, where L is the total angular momentum operator. Add a perturbation g r, where g is a constant and r is the position operator for the x-direction. Find the shift in its ground state energy (the energy shift of the state with the lowest rotational energy) to first non-trivial order in q.
(3) (10 pts): The work-energy theorem relates the change in kinetic energy of a particle to the work done on it by an external force: AK = W = | Fdx. a) Writing Newton's second law as F=dp/dt, show that W = S v dp and integrate by parts using the relativistic momentum to obtain E = mc²y b) Use the expression for the relativistic energy and relativistic momentum of a particle of mass m to demonstrate the important relation...
All of the following are vector quantities EXCEPT rotational kinetic energy centripetal acceleration angular momentum torque angular velocity
Kinectic energy and power.
One way to store energy is in the rotational motion of a flywheel, and some have proposed using such technology to power automobiles. One unit is based on a 6.5-kg flywheel in the shape of a hoop of radius 5.0x10-2 m that spins as fast as 50000 rpm PartA How much kinetic energy is stored by the flywheel when it is rotating at its maximum rate? Express your answer to two significant figures and include appropriate...
1. The wavefunction corresponding to Im> energy and angular momentum eigenstate of a particle rotating in a ring for m-l and m--1 are, respectively N2T where ? is the angular position of the particle relative to thex axis (see slide 15 of lecture 74a). (a) show that the probability density does not depend on 0. (b) Show that P,(o)-sin() where p, (0) rticle in the quantum state V, (d) p, (0) obviously resembles one of the orbitals of the is...
The energy of motion is called: Kinetic energy. potential energy, inertial energy. Power. In an inelastic collision: momentum is conserved. kinetic energy is conserved, both (a) and (b). If the velocity of a moving object is doubled and its mass is cut in half, the kinetic energy of the object is; remains the same, doubled quadrupled, cut in half. When the net work done on an object is speed of the object is me on an object is zero; the...
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