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How to Solve Physics Problems
Or
Translating from English to MathBy Matthew Allen
Mandeville High School Physics
Physics applies the logic of mathematics to the worldin an effort to understand why things do what they do and predict what will happen in the future.
Real world problems are stated in English as word problems.These word problems are are then “translated” into mathematics, applying the rules which have been experimentally proventhrough through the centuries.
Some of the problems may be simple and you can solve them in your head.
Ex. A train travels 50 miles in 2 hours. What was his average speed?
Answer 25mi/hr
I will not give credit for this answer if there is no other work shown because it is not in standard units
And many problems will be multi-step and multi-variable problems that cannot be solved in your head. You need to practice the method on simple problems to succeed on the hard ones.
Ex. A bullet is fired at target 255m away. If the bullet has a velocity of 447 m/s, at what angle should the bullet be fired?
225m
?
]cos)447[(
225
00
ts
mv
md
d
x
x
x
?
]sin)447[(
]sin)447[(
0
0
0
0
ts
mv
s
mv
d
d
y
y
y
y
And then apply the equations we will learn.
DO NOT COPY: Visual Example only
While every problem is different the following steps will help to keep you organized and help to solve the problems. REQUIRED FOR FULL CREDIT!
1. Read the problem thoroughly. Understand what the problem is asking.
2. Reread the problem and write down important known quantities and unknown quantities in a list. We will discuss which variables to use.
3. Draw a picture or diagram that represents the problem. Stick figures are fine. Label important elements as listed in step #2. 4. Convert units to SI units if needed. Show work.
6. Fill in the values for the variables in equation from the list. If the number is not in the list or from a conversion, you may not use it in the equation.
5. Decide which equation to use from the information in the list and drawing. You may have to use one equation to find an unknown to solve another equation for the answer.
Write down the equation in variable form.
7. Solve for unknown variable(s) to answer he problem. Show steps used to solve. Each step below the one from which it was derived.
8. BOX / CIRCLE THE ANSWER. I do not play seek and find for answers. All answers must be in SI units unless otherwise noted in problem
Helpful HintsWrite the units for each number every time including in the equation. Math operates on units like variables and is a good way to check answer. If you end up with the wrong units in the answer, you did something wrong.
I will deduct 0.1 points for incorrect significant digits.
Do not give up. If at first you don’t succeed, try again a different way.
Answer must have correct units. I will deduct 0.5 points for missing or incorrect units. All answers in SI units unless otherwise specified.
GOOD LUCK
Common Variables For Unit Motion 1-D
time
onaccelerati
speed finalspeed/
speedinitial
distancefinal distance/
distanceinitial
0
0
VARIABLES SCALAR
t
a
s
s
d
d
time
onaccelerati
velocityfinal velocity/
velocityinitial
position finalposition/
position initial
VARIABLES VECTOR
t
a
v
v
x
x
o
o
Common Variables For Unit Motion 1-D
EXAMPLE PROBLEM
t
ds Using the equation
The Earth has a circumference of 38,076 km at the equator. This is the distance a you would travel in one day standing on the equator at sea level as the Earth rotates. If there are exactly 24 hours in one day, how fast does the Earth rotate in meters per second on the equator?
Warning: I may give you a radius and you would have to remember the equation to find circumference.
Step 1and 2: Read the Problem and list known
and unknown quantities
?
24
076,38
s
hrt
kmd
Step 3: Draw and label diagram
Earth
hrt
kmd
24
076,38
Step 4: Convert to SI units
ss
hr
hrt
mmkm
mkmd
400,86)min
60)(
1
min60)(
1
24(
108076.3000,076,38)1
1000)(
1
076,38( 7
Steps 5-8: Choose, fill in, and solve equation. BOX ANSWER
sm
440.69444s
s108.64m103.8076
s
td
s
4
7
s
ms 2104.4
What final answer should look like
?
24
076,38
s
hrt
kmd
ss
hr
hrt
mmkm
mkmd
400,86)min
60)(
1
min60)(
1
24(
108076.3000,076,38)1
1000)(
1
076,38( 7
sm
440.69444s
s108.64m103.8076
s
td
s
4
7
Earthhrt
kmd
24
076,38
s
ms 2104.4