1. Physics to Medics
Homework 1
Due date: Sunday Oct 25, 2009
Solve the following questions
Q1:
a. One gallon of paint (volume= × -3 3
3.78 10 m ) covers an area of 25.0 . What is the
thickness of the paint on the wall?
b. Copper density is about
-3
8.96gcm express the density in
3
/kg m
Q2: We express the distance through which the person falls, before springing back, by the
equation
S Cg t mα β γ
=
Where α β γ, ,and are unknown parameters to be determined, is an overall
dimensionless constant that cannot be determined using this method, is person's mass, and
is the acceleration due gravity. Find theα β γ, ,and using dimension analysis.
Q3: For what values of are the vectors = − + + = + +2
6 2 ,A Bi bj k and bi b j bk
perpendicular?
Q4: Find the angle between the vectors using the dot product.
= − + = + −
= − + = − +
. 3 3 ,
. 2 3 , 2
a i j k i j k
b i j k i j k
A B
A B
Q5: For the following three vectors 2 , 2 , 2 2i j i k and j k= − + = − = − +A B C find,
1. The angle between the vectors ,D = A + B T = A -Cand
2. find the vectors ,andE = A ×C F = B×C , and the unit vectors ˆE