Physics 1D03
Version 1
October 9, 2013
Name_________________________________
Test Duration: 80 min
Student Number:________________________
Instructors:
J. Preston (section C01)
N. McKay (sections C03 and C06)
W. Okon (sections C02, C04 and C05)
Mac email:__________________@mcmaster.ca
Instructor:______________________________
This test has 13 questions and eight pages, including one blank page for solutions, and has a formula
sheet attached after page 7. Check that your paper is complete.
Write your name and student number on your paper before you begin. Multiple-choice questions are
worth 2 marks each, and problems are worth 3 marks each.
Only the McMaster standard calculator is allowed. Notes are not permitted. A sheet of formulae is
attached after the last page.
Answers for the multiple-choice questions (Part A) must be marked on the optical scan sheet, using an
HB pencil. Before you begin, print your name on this paper and on the optical scan sheet. You
must correctly code your student number and test version number in the spaces on the scan sheet
to receive full marks.
Problems (Part B) are to be answered directly on this test paper in the spaces provided. Clear and
complete solutions are required for full marks.
PLEASE DO NOT WRITE IN THIS AREA
Part A
(18)
See
Avenue
10
(3)
11
(3)
12
(3)
13
(3)
Part B
(12)
Page 2 of 7
Part A:
Indicate the best or most nearly correct answer by filling in the corresponding circle on the
optical scan sheet with an HB pencil. Each correct answer is worth 2 marks. An incorrect answer or
unanswered question counts as zero marks. Remember to code your student number and version
number on the scan sheet.
1. Two balls are thrown vertically upward, one with an initial speed twice that of the other one. The ball with
greater speed will reach a height
A) equal that of the other one.
B) 2 that of the other one.
C) twice that of the other one
D) four times that of the other one.
E) eight times that of the other one.
2. A block of mass M is sliding down a wall while a force F is acting on it, as shown in the figure. The normal
force exerted by the wall on the block is:
A)
B)
C)
D)
E)
F sin 
F cos 
F sin  + Mg
F cos  + Mg
Mg cos θ
θ
F
Mg
3. A physics textbook is given an initial speed v0 on a wooden floor, and friction causes it to slide to a stop in a
distance D. It is then given an initial speed 2 v0, on a tile floor where the coefficient of sliding friction is twice
as large. How far will it slide before stopping?
A)
B)
C)
D)
E)
D/2
2D
D
D/4
4D
4. A truck is pulling a trailer up a hill. The truck pulls forward on the trailer, and the trailer pulls backwards on
the truck. How do the magnitudes of these two forces compare, as the truck moves first at constant speed, and
then accelerates?
A)
B)
C)
D)
The force by the truck on the trailer is always larger if the motion is forward.
They are equal when the velocity is constant, but not when they are accelerating.
They are equal to each other at all times during the motion.
The trailer will always exert a larger force than the truck, because of friction on the trailer tires.
5. A block weighing 150N rests on a surface inclined at 30.0o above the horizontal. The coefficient of static
friction between the block and the surface is 0.70. The force of static friction on the block is:
A) 39 N
B) 52 N
C) 75 N
D) 91 N
E) 105 N
Page 3 of 7
6. A small frictionless bead of ice slides back and forth between positions 1 and 5the circular bowl shown. At
which positions does it have zero centripetal acceleration, but a non-zero tangential acceleration?
A)
B)
C)
D)
E)
nowhere
at position 3 only
at positions 1 and 5 only
at positions 1, 3, and 5 only
at all 5 positions shown
5
1
2
3
4
7. A horizontal turntable spins at constant angular velocity. If a coin glued at distance R from the centre
experiences an acceleration a1, then a coin glued at 2R from the centre would have an acceleration equal to
A) a1
2a1
C) 2 a1
D) 4 a1
B)
E) none of the above
8. The tip of the seconds hand of a clock takes 45 seconds to move from the “12” on the clock to the “9” at
constant speed. The angular velocity ω of the seconds hand of the clock is:
A)
B)
C)
D)
is constant
is constant in magnitude but continually changing direction
is zero
Is changing in both direction and magnitude
9. The three forces F1, F2, and F3 have equal magnitudes, and are applied one at a time to the rectangular plate as
shown. Compare the magnitudes 1, 2, and 3 of the three torques that they produce about pivot O.
E)
F)
G)
H)
I)
1 = 2 = 3
1 < 2 = 3
1 = 2 < 3
1 < 2 < 3
1 < 3 < 2
F1
O
F2
F3
Page 4 of 7
Part B (Problems): Write a clear solution showing how the answer is obtained. Each problem is worth 3
marks.
10. A soccer ball is kicked from the ground with initial speed v0 at an angle of 35 above the horizontal and
1.50 s later it crashes into a window while travelling in a direction 15 below the horizontal. Ignoring air
resistance, calculate the height of the window above the ground.
Page 5 of 7
11. A ball of mass m1 = 4.0 kg and a block of mass m2 = 3.0 kg are attached by a lightweight cord that passes
over a frictionless pulley of negligible mass. The block lies on an incline of angle 25o which has a coefficient of
kinetic friction μk=0.20, while the ball hangs down over the pulley. As the block slides up the incline, find:
a) the magnitude of the block’s acceleration
m2
m1
25
b) the tension in the cord
Page 6 of 7
12. A wheel rotates with a constant angular acceleration of 3.50 rad/s2. If the initial angular speed of the wheel
is 2.00 rad/s, through how many revolutions has the wheel turned in 2.00 s?
Page 7 of 7
13. A ball of mass m = 1.00 kg is suspended by cord of length L = 1.60 m from the rim of a wheel of radius
R = 1.20 m. When the wheel is rotating about a vertical axis at constant angular velocity , the ball swings in a
horizontal circle with the string at a constant angle  = 30.0° to the vertical, as shown.
a) Draw a free-body diagram for the ball, with all forces
labeled, and the acceleration direction shown.
R

L
m
b) Calculate the tension in the string and the speed of the ball.
The End