Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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On a sunny day, your friend Issac was daydreaming under an apple tree. All of a sudden, an apple dropped
from the tree and hit Issac's head. From there Issac had the idea that the apple was dragged down from the
tree by a "force". He contemplated an equation to describe this "force":
F = m*g
Where F is the force exerted onto the apple (in unit N), m is the mass of the apple (in unit kg), and g is a
fundamental constant of nature, Issac named it the gravitational constant.
Issac was intrigued by this idea and he wanted to measure the gravitational constant. He designed a simple
experiment to do this:
1. Collect 5 apples
2. Measure the mass of each of them and put them into a dataset M
3. Put each apple onto the tree branch, and let
4. Measure the force exerted on each apple F
=
it drop from the tree
[6.9, 7.3, 9.8, 9.0, 10}
=
{0.7, 0.7, 0.9, 0.8, 1.0}
Issac carefully prepared his dataset so that there is one-to-one correspondence between each element in M
and F. (i.e., the 1st apple…
A mass weighting 64 lbs stretches a spring 3 inches. The mass is in a medium that exerts a damping
force of 252 lbs when the mass has a speed of 6 ft/sec.
Suppose the object is displaced an additional 7 inches and released.
Find an equation for the object's displacement, u(t), in feet after t seconds.
u(t) =
An electron moves with a constant horizontal velocity of 3.0 x 100 m/s and no initial vertical velocity as it enters a deflector inside a TV tube. The electron strikes the screen after traveling
17.0 cm horizontally and 40.0 cm vertically upward with no horizontal acceleration. What is the constant vertical acceleration provided by the deflector? (The effects of gravity can be ignored.)
1.4 x 10 m/s?
14
2.5 x 10 m/s2
14
1.2 x 10 m/s?
8.3 x 10 m/s?
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