Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 1, Problem 37P
To determine
To write: The dimension of decay constant.
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The rate of decay of the radioactive isotope Free Neutron 239 is given by:
M = -1.1 x 10-³M
where M is the mass of the isotope in grams and t is time measured in minutes.
A sample initially contains 3 grams of the isotope.
What is the mass of the isotope present in the sample after 320 minutes?
The mass is
grams.
Round your answer to 3 significant figures, if needed.
b)
How long does it take for the mass of the isotope in the sample to fall to 1.5 gram?
It takes t =
minutes.
Round your answer to the nearest integer if needed.
The graph below shows the number of grams of a radioactive element t days after it was first discovered in
a science lab. Estimate the instantaneous rate of change of the number of grams of this object at 5 days.
+201
19
18
17
16
16
..
14
19
12
#
10
。
s
The numerical part of the instantaneous rate of change is
with units
For the units, enter full words. For example, if it was kph, you would say kilometers per hour. Or if it was
you would say meters per seconds squared.
m
2
8²
Growth of yeast cells In a controlled laboratory experiment,
yeast cells are grown in an automated cell culture system that
counts the number P of cells present at hourly intervals. The num-
ber after t hours is shown in the accompanying figure.
250
200
150
100
50
0 1 2 3 4 5 6 7
a. Explain what is meant by the derivative P'(5). What are its
units?
b. Which is larger, P'(2) or P'(3)? Give a reason for your
answer.
c. The quadratic curve capturing the trend of the data points
(see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43.
Find the instantaneous rate of growth when t = 5 hours.
Chapter 1 Solutions
Physics for Scientists and Engineers
Ch. 1 - Prob. 1PCh. 1 - Prob. 2PCh. 1 - Prob. 3PCh. 1 - Prob. 4PCh. 1 - Prob. 5PCh. 1 - Prob. 6PCh. 1 - Prob. 7PCh. 1 - Prob. 8PCh. 1 - Prob. 9PCh. 1 - Prob. 10P
Ch. 1 - Prob. 11PCh. 1 - Prob. 12PCh. 1 - Prob. 13PCh. 1 - Prob. 14PCh. 1 - Prob. 15PCh. 1 - Prob. 16PCh. 1 - Prob. 17PCh. 1 - Prob. 18PCh. 1 - Prob. 19PCh. 1 - Prob. 20PCh. 1 - Prob. 21PCh. 1 - Prob. 22PCh. 1 - Prob. 23PCh. 1 - Prob. 24PCh. 1 - Prob. 25PCh. 1 - Prob. 26PCh. 1 - Prob. 27PCh. 1 - Prob. 28PCh. 1 - Prob. 29PCh. 1 - Prob. 30PCh. 1 - Prob. 31PCh. 1 - Prob. 32PCh. 1 - Prob. 33PCh. 1 - Prob. 34PCh. 1 - Prob. 35PCh. 1 - Prob. 36PCh. 1 - Prob. 37PCh. 1 - Prob. 38PCh. 1 - Prob. 39PCh. 1 - Prob. 40PCh. 1 - Prob. 41PCh. 1 - Prob. 42PCh. 1 - Prob. 43PCh. 1 - Prob. 44PCh. 1 - Prob. 45PCh. 1 - Prob. 46PCh. 1 - Prob. 47PCh. 1 - Prob. 48PCh. 1 - Prob. 49PCh. 1 - Prob. 50PCh. 1 - Prob. 51PCh. 1 - Prob. 52PCh. 1 - Prob. 53PCh. 1 - Prob. 54PCh. 1 - Prob. 55PCh. 1 - Prob. 56PCh. 1 - Prob. 57PCh. 1 - Prob. 58PCh. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Prob. 63PCh. 1 - Prob. 64PCh. 1 - Prob. 65PCh. 1 - Prob. 66PCh. 1 - Prob. 67PCh. 1 - Prob. 68PCh. 1 - Prob. 69PCh. 1 - Prob. 70PCh. 1 - Prob. 71PCh. 1 - Prob. 72PCh. 1 - Prob. 73PCh. 1 - Prob. 74PCh. 1 - Prob. 75PCh. 1 - Prob. 76PCh. 1 - Prob. 77PCh. 1 - Prob. 78P
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