21 It is well known that any radiocar only 0.5 percent of thorium disap 1. What is the half-life of the 2. What percentage will dis-

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Chapter10: Nuclear Physics
Section: Chapter Questions
Problem 33P: A sample of radioactive material is obtained from a very old rock. A plot InA verses t yieldsa slope...
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Q2 The cart in the figure below weighs 64 pounds and is attached to the wall by a spring with
spring constant k
and released with no initial velocity. Simultaneously a periodic external force F = f(t) =
16 cos 4t is applied to the cart. Assuming that there is no air resistance, find the position x =
x(t) of the cart at time t. Note particularly that |x(t)| has arbitrarily large values as t o, a
phenomenon known as pure resonance and caused by the fact that the forcing function has the
same period as the free vibrations of the unforced system.
32 lb/ft. The cart is pulled 3 inches in the direction away from the wall
%3D
Transcribed Image Text:Q2 The cart in the figure below weighs 64 pounds and is attached to the wall by a spring with spring constant k and released with no initial velocity. Simultaneously a periodic external force F = f(t) = 16 cos 4t is applied to the cart. Assuming that there is no air resistance, find the position x = x(t) of the cart at time t. Note particularly that |x(t)| has arbitrarily large values as t o, a phenomenon known as pure resonance and caused by the fact that the forcing function has the same period as the free vibrations of the unforced system. 32 lb/ft. The cart is pulled 3 inches in the direction away from the wall %3D
Q1
It is well known that any radiocarbon takes several decades to disintegrate. In an experiment,
only 0.5 percent of thorium disappeared in 12 years.
1. What is the half-life of the thorium?
2. What percentage will disappear in 15 years?
Transcribed Image Text:Q1 It is well known that any radiocarbon takes several decades to disintegrate. In an experiment, only 0.5 percent of thorium disappeared in 12 years. 1. What is the half-life of the thorium? 2. What percentage will disappear in 15 years?
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