Download Tension in Rope - Introductory Physics - Solved Paper and more Exams Physics in PDF only on Docsity! Sent By: FALCONE; 925 284 2551; Feb-5-04 10:51PM; Page 1
Falcone Physics 8A
Fall 2002 Your name
Midterm # 1
Discussion session number / GSI name
1) DON’T OPEN THIS EXAM UNTIL INSTRUCTED TO BEGIN
2) Sit one seat away from anyone else
3) Do all your work on the page indicated for each problem
4) Show all work; don’t just write an answer without showing your reasoning.
At the start of each problem, draw the free body diagram; show forces.
5) This is a closed book exam
6) To simplify the math, take the acceleration due to gravity as g = 10 m/s”
7) In certain problems, you can give the answer in terms of the tangent of the
angle, rather than the angle, in order to simplify the math (cemember tangent
is ratio of opposite to adjacent sides in a right triangle)
8) Possibly useful equations include:
#5
vedx/dt P= dW/dt
a=dv/dt K=1/2mv
REX tVott Za U=mgh
=F=ma U=12kx?
Remv/r AK =K,-K,
F,=u,N AU =U, -U,
W=Fx Waa = AU + AK + AB, + AE.
Grading #1 _
#2
#3 —_—_—_
#4
Sent By: FALCONE;
925 284 2551; Feb-24-08 9:52PM; Page 1
1) A person with a closed parachute jumps out of an airplane and falls freely for
100 m. The parachute then opens and the person decelerates at 2 m/s*. The person
reaches the ground with a speed of 3 m/s.
a long w: rson j ir?
b height was the ai ing?
4 -
ey Se Vath
t: is 2 Jee e Jro= uve
Mag h + OCs) = US ar
ape U,4 at
Br ure 2e
tr2zig 4 eee
b) Ye Ys £ Wt +t yatt
wep e UTI MI) *
=z fee 4 TES = yy
Goun
w
Sent By: FALCONE; 925 284 25515 Feb-24-04 9:53PM; Page 4/5
4) A mass m = 2 kg is placed at the end of a horizontal spring that has a spring
constant k = 500 N/m and is compressed to a distance of x = @.1 m from its relaxed
point. The spring is then released, shooting the mass horizontally along a track. The
mass starts up a 30 degree incline with a coefficient of friction yw, = 0.4
a) What is the initia energs of the Inass shot forw ard by the spring?
Ww i fs incli travel?
If the coefficient of static friction is zero, will the mass fall back
If the mas: i idi wn the
ramp, how much will the spring be conapressed?
dom} TT
a) Y. ere s Me Trp co.ty* By =
be Ye pe y A4 hg cose) 2 4 mg h ‘ 2
. “th
257 oh (21 Ce) CoBy2 + eC) ¢ (8) ee 4
o Si e2 Of
eee : “ - t nea ee
Mgesdarewhy | A) enseuter@s tag Ce 0.048
\ 2.93 -@)lon: OFF: Abb
4
Sent By: FALCONE; 925 284 2551; Feb-24-03 9:53PM; Page 5/5
5) A pilot with a mass m = 80 kg is flying his aircraft in a vertical, circular loop at a
speed of v = 1500 m/s at the lowest point in the loop (see diagram).
a) Find the minimum radius of the circular loop so that the pilot does not
i i joni ’s at the lowest point,
b) Fi ilot” ilot at the lowest poi
gop under conditions of part (a).
©) i lane j e
Hane cli ward, what i i itude that the
Ce) Lg te) | COS Me eyte ma
r | :
cigep) 5
Fb | “
Gite mD aoe
te “ | ve
an F = ME g + ms “Cl. vot)
8 FOP. 10 LS aoe a> _ 7