PHYSICS 201 Midterm: PHYS 201 UW Madison p201Fall 02fin
First Name: ____________________ Last Name:____________________ Section: ________ ■1
September 25, 2002 Physics 201
EXAM 1
Print your name and section clearly on all five pages. (If you do not know your
section number, write your TA’s name.) Show all work in the space immediately below each
problem. Your final answer must be placed in the box provided. Problems will be graded on
reasoning and intermediate steps as well as on the final answer. Be sure to include units wherever
necessary, and the direction of vectors. Each problem is worth 25 points. In doing the
problems, try to be neat. Check your answers to see that they have the correct dimensions (units)
and are the right order of magnitudes. You are allowed one 5” x 8” note card and no other
references. The exam lasts exactly one hour.
(Do not write below)
SCORE:
Problem 1: __________
Problem 2: __________
Problem 3: __________
Problem 4: __________
TOTAL: ___________
Possibly useful information:
Acceleration due to gravity at the earth’s surface: g = 9.80 m/s2
For ax2+bx +c=0, x =−b±b2−4ac
2a
First Name: ____________________ Last Name:____________________ Section: ________ ■2
PROBLEM 1
A plane carrying a rescue capsule is flying at a constant height of
1215 m at a speed of 431 km/hr toward a point directly over a
person struggling in the water. (Ignore air resistance.)
a. How many seconds before the plane passes over the person must
the rescue capsule be released (5 pts.)
φ
θ
1215 m
431 km/hr
b. What is horizontal distance (in kilometers) between the plane and the person when the capsule
is released? (5 pts.)
c. At what line of sight angle, φ (in degrees), towards the person should the pilot be at when he
releases the capsule? (5 pts)
d. With what speed (in m/s) does the capsule hit the water? (5 pts.)
e. At what angle, θ (in degrees), with respect to the vertical, does the capsule hit the water? (5 pts.)
Document Summary
Print your name and section clearly on all five pages. (if you do not know your section number, write your ta"s name. ) Show all work in the space immediately below each problem. Your final answer must be placed in the box provided. Problems will be graded on reasoning and intermediate steps as well as on the final answer. Be sure to include units wherever necessary, and the direction of vectors. In doing the problems, try to be neat. Check your answers to see that they have the correct dimensions (units) and are the right order of magnitudes. You are allowed one 5 x 8 note card and no other references. The exam lasts exactly one hour. (do not write below) Acceleration due to gravity at the earth"s surface: g = 9. 80 m/s2. For ax2 + bx + c = 0, x = A plane carrying a rescue capsule is flying at a constant height of.
