Predict/Calculate An alpha particle (the nucleus of a helium atom) consists of two protons and two neutrons, and has a mass of 6.64 × 10 −27 kg. A horizontal beam of alpha particles is injected with a speed of 1.3 × 10 5 m/s into a region with a vertical magnetic field of magnitude 0.155 T. (a) How much time does it take for an alpha particle to move halfway through a complete circle? (b) If the speed of the alpha particle is doubled, does the time found in part (a) increase, decrease, or stay the same? Explain. (c) Repeat part (a) for alpha particles with a speed of 2.6 × 10 5 m/s.
Predict/Calculate An alpha particle (the nucleus of a helium atom) consists of two protons and two neutrons, and has a mass of 6.64 × 10 −27 kg. A horizontal beam of alpha particles is injected with a speed of 1.3 × 10 5 m/s into a region with a vertical magnetic field of magnitude 0.155 T. (a) How much time does it take for an alpha particle to move halfway through a complete circle? (b) If the speed of the alpha particle is doubled, does the time found in part (a) increase, decrease, or stay the same? Explain. (c) Repeat part (a) for alpha particles with a speed of 2.6 × 10 5 m/s.
Predict/Calculate An alpha particle (the nucleus of a helium atom) consists of two protons and two neutrons, and has a mass of 6.64 × 10−27 kg. A horizontal beam of alpha particles is injected with a speed of 1.3 × 105 m/s into a region with a vertical magnetic field of magnitude 0.155 T. (a) How much time does it take for an alpha particle to move halfway through a complete circle? (b) If the speed of the alpha particle is doubled, does the time found in part (a) increase, decrease, or stay the same? Explain. (c) Repeat part (a) for alpha particles with a speed of 2.6 × 105 m/s.
a)
What is the minimum tension in N that the cable must be able to support without breaking? Assume the cable is massless.
T =
b)
If the cable can only support a tension of 10,000 N what is the highest mass the ball can have in kg?
mm =
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DATA
FIT TYPE
FIT
Harmonic Motion X
us
0.45
mi
ce
0.4
0.35
0.3
0.25
0.2
Residuals Plot
Contour Plot
Plot Prediction Bounds None
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COA Fourier
Equation
Fit Plot
x vs. t
-Harmonic Motion
a0+ a1*cos(x*w) +
b1*sin(x*w)
Number of terms
Center and scale
1
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Results
Value
Lower
Upper
0.15
a0
0.1586
0.1551
0.1620
a1
0.0163
0.0115
0.0211
0.1
b1
0.0011
-0.0093
0.0115
W
1.0473
0.9880
1.1066
2
8
10
t
12
14
16
18
20
Goodness of Fit
Value
Table of Fits
SSE
0.2671
Fit State Fit name
Data
Harmonic Motion x vs. t
Fit type
fourier1
R-square
0.13345
SSE
DFE
0.26712
296
Adj R-sq
0.12467
RMSE
0.030041
# Coeff
Valic
R-square
0.1335
4
DFE
296.0000
Adj R-sq
0.1247
RMSE
0.0300
What point on the spring or different masses should be the place to measure the displacement of the spring? For instance, should you measure to the bottom of the hanging masses?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
What is Electromagnetic Induction? | Faraday's Laws and Lenz Law | iKen | iKen Edu | iKen App; Author: Iken Edu;https://www.youtube.com/watch?v=3HyORmBip-w;License: Standard YouTube License, CC-BY