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 112.
The exam period was 90 minute; the mean score was 97.6; the median score
was 103. Click here to see the formula
sheet that came with the exam.
Unless otherwise stated, ignore
air resistance and assume the acceleration of gravity is g = 9.81
m/s2 vertically downward.
Two stones are released from rest at a height of 600 m, one 3 s after
the other, and fall vertically downward.
During the time interval that both stones are in flight, the
difference in their speeds will
(c) stay the same.
(a) Δt < 3.0 s
(b) Δt = 3.0 s
(c) Δt > 3.0 s
(a) 18.7 m
(b) 31.4 m
(c) 53.8 m
(d) 103 m
(e) 165 m
A block of mass M = 7.3 kg is supported on a frictionless ramp
by a spring having a constant k = 106 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 20°, as in
view b) below.
What is the new equilibrium position of the block,
(a) 0.11 m
(b) 0.13 m
(c) 0.20 m
(d) 0.23 m
(e) 0.28 m
(a) 17.6 N
(b) 25.4 N
(c) 33.7 N
(d) 39.1 N
(e) 47.6 N
A space telescope of mass mt = 30,000 kg is in a
stable orbit above the Earth at an altitude h = 2320 km. The
radius and mass of the Earth are RE = 6370 km and
ME = 6 × 1024 kg, respectively.
Newton's gravitational constant is GN = 6.672 ×
10-11 N m2/kg2.
Once in orbit, what is the force of gravitational attraction on the
space telescope due to the Earth?
(a) 103,000 N
(b) 127,000 N
(c) 159,000 N
(d) 177,000 N
(e) 196,000 N
(c) the same.
(a) θ = 17.6°
(b) θ = 21.3°
(c) θ = 27.8°
(d) θ = 31.2°
(e) θ = 34.5°
A physics 211 student is trying to pull a box of books of mass
m = 80 kg across the floor as shown in the following figure. The
coefficient of static friction is μS.
If the angle 0 < θ < 90°, the normal force,
(a) N < mg
(b) N = mg
(c) N > mg
(a) T = 187 N
(b) T = 212 N
(c) T = 243 N
(d) T = 288 N
(e) T = 302 N
(a) 66 km/hr
(b) 73 km/hr
(c) 89 km/hr
(d) 97 km/hr
(e) 103 km/hr
Ms. Stick hangs a picture of her family on the wall. The picture
has mass m = 1.50 kg and hangs from two massless strings which
are fixed to a common point on the wall. The picture hangs so that
θ1 = θ2 = 20°.
What is the tension T1?
(a) 21.5 N
(b) 26.4 N
(c) 29.8 N
(d) 32.5 N
(e) 34.0 N
(a) The tension decreases.
(b) The tension stays the same.
(c) The tension increases.
Two boxes are pulled across a surface by a falling weight as shown
below. The coefficients of static and kinetic friction between the
boxes and the surface are μS and
μK, respectively. Neglect the masses of the ropes
and the pulley.
For the frictionless case (μS =
μK = 0) what is the relationship between
T1 and T2?
(a) T1 > T2
(b) T1 = T2
(c) T1 < T2
(a) a = g / 6
(b) a = g / 5
(c) a = g / 4
(d) a = g / 3
(e) a = g / 2
(a) af > a
(b) af = a
(c) af < a
(a) μS = 0.10
(b) μS = 0.20
(c) μS = 0.30
(d) μS = 0.40
(e) μS = 0.50
A tennis ball of weight W = 0.3 N is attached to a rope and
swung in a vertical circle. The rope is L = 1.4 m in length.
When the ball is at its highest point, the tension in the rope is
measured to be zero.
What is the tangential velocity of the ball at its highest
(a) 1.9 m/s
(b) 2.3 m/s
(c) 3.7 m/s
(d) 4.6 m/s
(e) 5.8 m/s
(b) W (1+v2/gL)
(c) W (1-v2/gL)
Tiger Woods hit a "hole-in-one" on the first hole of the PGA Open
golf tournament (held in Flatlands, Illinois). This golf course is
perfectly flat. Tiger hit the golf ball such that it initially made a
45° angle with respect to the horizontal. There was no wind during
the shot. The golf ball fell directly into the hole, a distance of
187.7 m away! In the following two questions, neglect the effect(s) of
What was the golf ball's initial speed?
(a) 28.7 m/s
(b) 36.4 m/s
(c) 42.9 m/s
(d) 55.3 m/s
(e) 61.9 m/s
(a) 46.9 m
(b) 53.9 m
(c) 58.0 m
(d) 63.2 m
(e) 69.7 m