True-false questions are worth 2 points each, three-choice multiple
choice questions are worth 3 points each, five-choice multiple choice
questions are worth 6 points each. The maximum possible score is 114.
The exam period was 90 minutes; the mean score was 93.2; the median
score was 95. Click here to see the formula
sheet that came with the exam.
A car undergoing uniform acceleration, a = 4 m/s2,
is travelling at a velocity of 40 m/s as it enters a tunnel. When the
car exits the tunnel, its velocity is 72 m/s.
How long is the tunnel?
(a) 7 m
(b) 90 m
(c) 197 m
(d) 378 m
(e) 448 m
(a) 0.2 s
(b) 1.0 s
(c) 4.1 s
(d) 7.0 s
(e) 8.0 s
(a) closer to Vin than Vout.
(b) half way between Vin and Vout.
(c) closer to Vout than Vin.
Mr. Stick lives on the planet Teflon where the force due to gravity
is different than that of Earth. Mr. Stick drops a small water balloon
off the top of a building (V0 = 0 m/s). He releases
the balloon at a height H = 10 m above the surface of Teflon. The
balloon hits the ground 1.8 seconds after it is dropped and has a
velocity V1 on impact. (Neglect Teflonian air
What is the acceleration due to gravity on the planet Teflon?
(a) 3.5 m/s2
(b) 6.2 m/s2
(c) 8.3 m/s2
(d) 9.8 m/s2
(e) 11.6 m/s2
(a) V2 > V1
(b) V2 = V1
(c) V2 < V1
The two massless springs have the same length L0
when not compressed or stretched. The stiffness of each spring is
k1 and k2, respectively. Mass
M1 hangs from spring 1 and it reaches equilibrium at
position L1. Mass M2 hangs from spring 2
and it reaches equilibrium at position L2.
If k2 = 2 k1 and
M2 = 2 M1, which one of the
relationships below is correct?
(a) L2 = 2 L1
(b) L1 = 2 L2
(c) L1 = L2
(d) L2 = 4 L1
(e) L1 = 4 L2
(a) L2 = 3 L1
(b) L1 = 3 L2
(c) L2 = 2 L1 - 3 L0
(d) L2 = 3 L1 - 2 L0
(e) L1 = 3 (L2 - L0)
A mass m = 7.1 kg is hung over a massless pulley. Two masses,
each with mass M = 15.3 kg are attached to m with a
massless rope as shown in the drawing below. The desktop and the pulley
The tension T1 is greater than the tension
(a) T2 > T3
(b) T2 = T3
(c) T2 < T3
(a) a = 0.0835 m/s2
(b) a = 1.40 m/s2
(c) a = 1.85 m/s2
(d) a = 5.69 m/s2
(e) a = 10.42 m/s2
A mass m is tied to a string of length R = 0.5 m and
set in uniform circular motion in the vertical plane, as shown in the
left figure. The angular velocity of the motion is ω = 3.1
The string tension is largest at
(a) the top of the circle.
(b) the bottom of the circle.
(c) it is the same at all points on the circle.
(a) 0.10 m
(b) 0.25 m
(c) 0.31 m
(d) 0.38 m
(e) 0.49 m
Block m1 (3 kg) is hanging over the edge of a table
and is attached to block m2 (17 kg) by a massless
string that runs over a frictionless pulley as shown in the figure. The
table has static and kinetic coefficients of friction of 0.35 and 0.2
respectively. Block m2 is also attached to a wall by
an ideal, massless spring with a spring constant of 100 N/m.
The force of m1 on the earth is equal in magnitude to
the force of the earth on m1.
(a) 0.0 m
(b) 0.075 m
(c) 0.121 m
(d) 0.152 m
(e) 0.289 m
A tennis ball of weight W = 0.5 N is attached to a rope and
swung in a vertical circle. The rope is L = 1 m in length. When
the ball is at its highest point, the tension in the rope is measured to
What is the tangential velocity of the ball at its highest
(a) 3.1 m/s
(b) 4.4 m/s
(c) 8.8 m/s
(d) 19.6 m/s
(e) 79.3 m/s
(b) W (1+v2/gL)
A student is walking in a straight line along Green St. at a constant
velocity of 2 m/s. She tosses a pen into the air at an angle of 60°
with respect to the vertical in her reference frame. A stationary
observer on the other side of the street (directly across from her)
observes that the pen goes straight up vertically and then falls to the
ground. Assume the student is walking in the positive
As measured by the student who tossed the pen, what is the
x-component of the velocity of the pen?
(a) vx,s = -4 m/s
(b) vx,s = -2 m/s
(c) vx,s = 0 m/s
(d) vx,s = +2 m/s,
(e) vx,s = +4 m/s
(a) vx,o = -2 m/s
(b) vx,o = 0 m/s
(c) vx,o = +2 m/s
A space telescope of mass mt = 10,000 kg is in a
stable orbit above the Earth at an altitude h = 3630 km. The
radius and mass of the Earth are RE = 6370 km and
ME = 6 × 1024 kg, respectively.
Newton's gravitational constant is G = 6.672 ×
10-11 N m2/kg2.
Once in orbit, what is the force of gravitational attraction between the
space telescope and the Earth?
(a) 0 N
(b) 800 N
(c) 5,000 N
(d) 30,000 N
(e) 40,000 N
(a) M (g+a)
(b) M (g-a)
(c) 2 M (g+a)
A block of mass M = 13.4 kg is supported on a frictionless
ramp by a spring having a constant k = 145 N/m. When the ramp is
horizontal, as in view a) below, the equilibrium position of the mass is
at x = 0. The angle of the ramp is then changed to 25°, as in
view b) below.
What is the new equilibrium position of the block,
(a) 0.12 m
(b) 0.19 m
(c) 0.38 m
(d) 0.41 m
(e) 0.56 m
(a) 17.6 N
(b) 31.4 N
(c) 44.7 N
(d) 59.2 N
(e) 125.6 N