The position x reached by a particle in terms of its acceleration a and the elapsed time t in the form ? = ?????, where k is a dimensionless constant. Find m and n through dimensional analysis.
The position x reached by a particle in terms of its acceleration a and the elapsed time t in the form ? = ?????, where k is a dimensionless constant. Find m and n through dimensional analysis.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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5) The position x reached by a particle in terms of its acceleration a and the elapsed time t in the
form ? = ?????, where k is a dimensionless constant. Find m and n through dimensional
analysis.
Transcribed Image Text:5) The position x reached by a particle in terms of its acceleration a and the elapsed time t in the
form x = kamtn, where k is a dimensionless constant. Find m and n through dimensional
analysis.
6) A road journey takes 5 h 30 min at 90.0 km/h. How much time would be saved by traveling
at 100 km/h instead?
Transcribed Image Text:Draw a picture
Label which directions
are positive (x- and
y-), and label relevant
quantities on diagram
Find a second
equation...
...if you're missing a
quantity needed to use
an equation. Draw up a
lan on how to link the
equations & quantities
Solve for the
quantity without
using numbers
First cancel any quantities that
are zero. Use algebra to isolate
the quantity you need on one
side of the equals sign. Check
with dimensional analysis
Physics Problem Flow Chart
Identify
explicitly given
values
Draw a
second
picture...
...if you have
BEFORE/AFTER
situations, force
additions, vector
component diagrams
Find relevant
equation(s)
One that links the given
quantities to the quantity
you need to find
Sub in
numbers on
paper
Make sure units of
each number are
correct before you
substitute in values
into the equations
Write all given actual
numbers in terms of
variables. For previously
calculated values, use values
before rounding for sig figs
Identify required
quantity and
type of problem
Look for keywords like
"when", "how far", "how
fast", etc. Get type of
problem from quantities
given/sought
Use calculator
to find value
Use as few presses of
the "=" or "ENTER"
button as possible.
Keep extra sig figs until
next step
Identify
implicitly given
values
Wording that implies
specific values: e.g. "at
rest", "comes to a stop",
"dropped", "smooth
surface", "constant velocity"
Calculate/convert
easily derived
quantities
For example, the x- and y-
components of
velocity/force vectors, or the
force of gravity given the
mass
Write conclusion
statement with
correct sig figs
In plain English with
correct units
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