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Assignment 1 Problems(Fall Term Physics 102)
2.
The radius
r
of a circle inscribed in any triangle
whose sides are
a
,
b
, and
c
is given by
r
= [(
s

a
)(
s

b
) (
s

c
)/
s
]
1/2
, where
s
is an abbreviation for (
a
+
b
+
c
)/2. Check this formula for dimensional consistency.
36.
A certain corner of a room is selected as the
origin of a rectangular coordinate system. If a fly is
crawling on an adjacent wall at a point having
coordinates (2.0, 1.0), where the units are meters,
what is the distance of the fly from the corner of the
room?
R=2.24 m,
θ
=26.6
o
12.
A tortoise can run with a speed of 0.10 m/s, and a
hare can run 20 times as fast. In a race, they both start
at the same time, but the hare stops to rest for 2.0
minutes. The tortoise wins by a shell (20 cm). (a)
How long does the race take? (b) What is the length
of the race?
T= 126 s,
D=12.6 m
37.
A car starts from rest and travels for 5.0 s with a
uniform acceleration of + 1.5 m/s
2
. The driver then
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 Fall '08
 VANDENBERG
 Physics, Work

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