19. A mass-on-a-spring system has m = 50 kg and k = 200 N/m. The mass is pulled a distance 0.25 m from its equilibrium posi- tion and then released. (a) What is the maximum acceleration of the mass? (b) What is its maximum velocity? %3D

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Chapter15: Oscillations
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Problem 19. Must use formula from formula sheet. Not sure which one or where to start.
v" for volume no"U" use subscripts
MusH start wlone of
use
These eguahbas
Physics 104 Equation Sheet
k = 9.0 x 10° Nm²/C²
Ho = 4M x 107 N/A?
C = 3.00 x 10° m/s
e = 1.6 x 10-19 c
Eo = 8.85 x 1012 C²/Nm?
"-6.63 x 10 34 Js = 4.14 x 10 15 eVs lo = 1012 W/m?
me = 9.11 x 10 kg
m, = 1.67 x 10 27 kg
nair = 1.00
nsoap = 1.50
nwater = 1.33
Vsound = 340 m/s
1 eV = 1.6 x 10 19 J
Wsilver = 4.74 eV
F = kqıq2/r²
E = kQ/r?
F = qE
PE = kqı92/r
V = kQ/r
ΔV - -ΕΔx
APEE = -WE = -qEd
APE = qAV
C = q/AV
C = E0A/d
R.Σ R
| = Aq/At
F = qvB sino
EMF = NA DB/At
PE = ½ QAV
AV = IR
1/Req Σ 1/R
P = IAV
B = Hol/2nr
R = PL/A
F = ILB sino
OB = BA cosO
B = Ho nl
¡V1 = 12 V2
V1/V2 = N1/N2
EMFg = NBAW sin(wt)
f = 1/T
v = fA
W = 2nf =
F = -kAx
n = c/v
An = Aair/n
PE = ½ KAX²
fs
fo =
V =
ni sino1 = n2 sino2
B = 10 log10 (1/lo)
12/l1 = r/r2?
d sino = (m + ½ )A
1/o + 1/i = 1/f
m = -i/o
fo = f.(1 ± °o/p)
d sino = m
f = R/2
P = 1/f
Am T = 2.90 x 103 mK
En = -13.6eV/n?
KEmax = hf – W
E = hf
L= nh/2n
Rn = (0.0529 nm) n²
A = h/mv = h/p
AxAp, 2 h/4n
ΔΕΔt h/4π
A-N' = (h/mc)(1 – cos©)
Transcribed Image Text:v" for volume no"U" use subscripts MusH start wlone of use These eguahbas Physics 104 Equation Sheet k = 9.0 x 10° Nm²/C² Ho = 4M x 107 N/A? C = 3.00 x 10° m/s e = 1.6 x 10-19 c Eo = 8.85 x 1012 C²/Nm? "-6.63 x 10 34 Js = 4.14 x 10 15 eVs lo = 1012 W/m? me = 9.11 x 10 kg m, = 1.67 x 10 27 kg nair = 1.00 nsoap = 1.50 nwater = 1.33 Vsound = 340 m/s 1 eV = 1.6 x 10 19 J Wsilver = 4.74 eV F = kqıq2/r² E = kQ/r? F = qE PE = kqı92/r V = kQ/r ΔV - -ΕΔx APEE = -WE = -qEd APE = qAV C = q/AV C = E0A/d R.Σ R | = Aq/At F = qvB sino EMF = NA DB/At PE = ½ QAV AV = IR 1/Req Σ 1/R P = IAV B = Hol/2nr R = PL/A F = ILB sino OB = BA cosO B = Ho nl ¡V1 = 12 V2 V1/V2 = N1/N2 EMFg = NBAW sin(wt) f = 1/T v = fA W = 2nf = F = -kAx n = c/v An = Aair/n PE = ½ KAX² fs fo = V = ni sino1 = n2 sino2 B = 10 log10 (1/lo) 12/l1 = r/r2? d sino = (m + ½ )A 1/o + 1/i = 1/f m = -i/o fo = f.(1 ± °o/p) d sino = m f = R/2 P = 1/f Am T = 2.90 x 103 mK En = -13.6eV/n? KEmax = hf – W E = hf L= nh/2n Rn = (0.0529 nm) n² A = h/mv = h/p AxAp, 2 h/4n ΔΕΔt h/4π A-N' = (h/mc)(1 – cos©)
what factor does the amplitude change?
move from y= 1.5 cm to y= 2.5 cm? (d) If the
velocity? (c) How long does it
ation is 3.5 cm,
of
to two springs as it slides along a
amplitude? (e) If the spring constant is increased by a factor of
mass is oscillating with a maximum speed of 45 m/s, what is the
two and the maximum kinetic energy of the mass is the same, by
Figum
17. * A mass m =
2.4 kg is attached
frictionless floor, while the springs
are fastened to two walls as shown
in Figure P11.17. The springs both
a
k
mww
= 400 N/m and are both
have k
in their relaxed states (unstretched
and uncompressed) when the mass
is centered between the two walls. What is the frequency of this
Figure P11.17
simple harmonic oscillator?
19 SSM * RT Estimate the spring constant for a trampoline.
Assume a person is standing on the trampoline and oscillating up
and down without leaving the trampoline. Hint: Begin by estimat-
ing the mass of the oscillator and the period of the motion.
29.
19. * A mass-on-a-spring system has m =
The mass is pulled a distance 0.25 m from its equilibrium posi-
tion and then released. (a) What is the maximum acceleration of
the mass? (b) What is its maximum velocity?
50 kg and k
200 N/m.
%3D
30.
20. * Consider the mass-on-a-spring system in
Figure P11.20. Three identical springs, with
the same spring constant k
used to connect the mass (m = 20 kg) to a
ceiling. What is the frequency of this simple
harmonic oscillator?
40 N/m, are
%3D
%3D
m
21. * RT Estimate the maximum accel-
eration of a bungee jumper. Is it larger or
smaller than the acceleration due to gravity
during free fall? Hint: Example 11.3 gives values for several
Figure P11.20
Simple spring (which is not quite realistic) and that the mass of
the nerson is 50 kg.
of a rock of mass
Transcribed Image Text:what factor does the amplitude change? move from y= 1.5 cm to y= 2.5 cm? (d) If the velocity? (c) How long does it ation is 3.5 cm, of to two springs as it slides along a amplitude? (e) If the spring constant is increased by a factor of mass is oscillating with a maximum speed of 45 m/s, what is the two and the maximum kinetic energy of the mass is the same, by Figum 17. * A mass m = 2.4 kg is attached frictionless floor, while the springs are fastened to two walls as shown in Figure P11.17. The springs both a k mww = 400 N/m and are both have k in their relaxed states (unstretched and uncompressed) when the mass is centered between the two walls. What is the frequency of this Figure P11.17 simple harmonic oscillator? 19 SSM * RT Estimate the spring constant for a trampoline. Assume a person is standing on the trampoline and oscillating up and down without leaving the trampoline. Hint: Begin by estimat- ing the mass of the oscillator and the period of the motion. 29. 19. * A mass-on-a-spring system has m = The mass is pulled a distance 0.25 m from its equilibrium posi- tion and then released. (a) What is the maximum acceleration of the mass? (b) What is its maximum velocity? 50 kg and k 200 N/m. %3D 30. 20. * Consider the mass-on-a-spring system in Figure P11.20. Three identical springs, with the same spring constant k used to connect the mass (m = 20 kg) to a ceiling. What is the frequency of this simple harmonic oscillator? 40 N/m, are %3D %3D m 21. * RT Estimate the maximum accel- eration of a bungee jumper. Is it larger or smaller than the acceleration due to gravity during free fall? Hint: Example 11.3 gives values for several Figure P11.20 Simple spring (which is not quite realistic) and that the mass of the nerson is 50 kg. of a rock of mass
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