A glow worm of mass 5.0 g emits red light (650nm) with a power of 0.10W entirely the backward direction. To what speed will it have accelerated after 10y if released into free space and assumed to live? Energy emitted = P(W).At(s). Assume the conservation of linear momentum, which means that the loss of a photon imparts an equivalent momentum in the opposite direction. The total momentum imparted to the glow-worm: p = Npphoton where N= Energy emitted Energyphoton X=650nm p = mv Pylowworm = N Pphoton Total Energy = energy/photon = (E=hr) = hc 5g=00005kg (mv) glowworm total energy /photon N = # of photons = Pphoton = momentum/phoy ! = PAT At = 10 yrs => At=see Pphoton = 1/2
A glow worm of mass 5.0 g emits red light (650nm) with a power of 0.10W entirely the backward direction. To what speed will it have accelerated after 10y if released into free space and assumed to live? Energy emitted = P(W).At(s). Assume the conservation of linear momentum, which means that the loss of a photon imparts an equivalent momentum in the opposite direction. The total momentum imparted to the glow-worm: p = Npphoton where N= Energy emitted Energyphoton X=650nm p = mv Pylowworm = N Pphoton Total Energy = energy/photon = (E=hr) = hc 5g=00005kg (mv) glowworm total energy /photon N = # of photons = Pphoton = momentum/phoy ! = PAT At = 10 yrs => At=see Pphoton = 1/2
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.64E
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![A glow worm of mass 5.0 g emits red light (650nm) with a power of 0.10W entirely in the backward
direction. To what speed will it have accelerated after 10y if released into free space and assumed to live?
Energy emitted = P(W)-At(s).
Assume the conservation of linear momentum, which means that the loss of a photon imparts an equivalent
momentum in the opposite direction.
total energy
The total momentum imparted to the glow-worm: p = Npphoton where
energy/photon
x= 650nm
N = Energy emitted
p = mv
Energyphoton
V=
=
{
PglowwormN Pphoton
N = # of photons =
Pphoton = momentum/photon
5g=00005kg
= (mv) glowworm
At =10yrs => At-see
Total Energy = Pat
energy/photon = (E=hr) = hec
Pphoton = 12
숫](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaa64798-ff50-47d6-b342-20b56281101d%2F81909265-267b-4c02-a02c-6240cd36801f%2F3uy535p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A glow worm of mass 5.0 g emits red light (650nm) with a power of 0.10W entirely in the backward
direction. To what speed will it have accelerated after 10y if released into free space and assumed to live?
Energy emitted = P(W)-At(s).
Assume the conservation of linear momentum, which means that the loss of a photon imparts an equivalent
momentum in the opposite direction.
total energy
The total momentum imparted to the glow-worm: p = Npphoton where
energy/photon
x= 650nm
N = Energy emitted
p = mv
Energyphoton
V=
=
{
PglowwormN Pphoton
N = # of photons =
Pphoton = momentum/photon
5g=00005kg
= (mv) glowworm
At =10yrs => At-see
Total Energy = Pat
energy/photon = (E=hr) = hec
Pphoton = 12
숫
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