For my ally is the Force, and a powerful ally it is. Life creates it, makes it grow. Its energy surrounds us and binds us. Luminous beings
are we, not this crude matter. You must feel the Force around you; here, between you, me, the tree, the rock, everywhere, yes.
Even between the land and the ship.”
Welcome to the Dagobah System
NAME_________________________________________
1) A force of
stretches a spring
A) 41 N/m
B) 22 N/m
from equilibrium. What is the value of the spring constant?
C) 34 N/m
D) 46 N/m
2) A spring stretches by
when a
object is attached. What is the weight of a fish that would stretch the
spring by 44.9 cm?
A) 289 N
B) 63 N
C) 176 N
D) 405 N
3) An object attached to a spring is pulled across a frictionless surface. If the spring constant is
stretched by
when the object is accelerating at 1.4 m/s2 what is the mass of the object?
A) 28 kg
B) 24 kg
C) 31 kg
D) 36 kg
and the spring is
4) Two boxes P and Q on a perfectly smooth horizontal surface are connected by a light horizontal cord. The mass of P is
greater than that of Q. A horizontal force F is applied to box Q as shown in the
figure, accelerating the bodies to the right. The magnitude of the force exerted
by the connecting cord on body P is
A) zero.
B) less than F but not zero.
C) equal to F.
D) greater than F.
5) Three boxes are pulled along a horizontal frictionless floor by a constant horizontal pull P. The boxes are connected by
very light horizontal strings having tensions T1 and T2 as shown in the
figure. Which of the following statements about the tensions is correct?
A) T1 = P
B) T2 = P
C) T1 + T2 = P
D) T2 > T1
E) T1 > T2
6) Two boxes, A and B, are connected by a horizontal string S on a horizontal floor. A
very light wire pulls horizontally on box B, as shown in the figure, with a force of
100 N. The reaction force to this pull is
A) the pull that box B exerts on string S.
C) the pull that string S exerts on
B) the pull that string S exerts on box B.
box A.
D) the pull of box B on the wire.
E) the force that box A exerts on box B.
7) Two boxes are connected to each other by a string as shown in the figure. The 10-N box slides
without friction on the horizontal table surface. The pulley is ideal and the string has negligible
mass. What is true about the tension T in the string?
A) T = 10 N
C) T = 30 N
E) T > 30 N
B) T = 20 N
D) T < 30 N
8) An object moves with a constant speed of 30 m/s on a circular track of radius 150 m. What is the acceleration of the
object?
A) 0 m/s2
B) 0.17 m/s2
C) 5.0 m/s2
D) 6.0 m/s2
9) A particularly scary roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If
the radius of the loop is 13.2 m with what minimum speed must the car traverse the loop so that the rider does not fall
out while upside down at the top? Assume the rider is not strapped to the car.
A) 11.4 m/s
B) 12.5 m/s
C) 10.1 m/s
D) 14.9 m/s
10) A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of
the loop is 17.8 m with what minimum speed must the car traverse the loop so that the rider does not fall out while
upside down at the top? Assume the rider is not strapped to the car.
A) 13.2 m/s
B) 14.5 m/s
C) 10.1 m/s
D) 14.9 m/s
11) A 1000-kg car is slowly picking up speed as it goes around a horizontal unbanked curve whose radius is 100 m. The
coefficient of static friction between the tires and the road is 0.35. At what speed will the car begin to skid sideways?
A) 9.3 m/s
B) 24 m/s
C) 34 m/s
D) 35 m/s
E) 19 m/s
12) A 45.0-kg person steps on a scale in an elevator. The scale reads 460 N. What is the acceleration of the elevator?
A) 4.91 m/s2 B) 9.81 m/s2 C) 46.9 m/s2 D) 0.206 m/s2
E) 0.422 m/s2
13) A 20-g bead is attached to a light 120-cm-long string as shown in the figure. This bead moves in a
horizontal circle with a constant speed of 1.5 m/s. What is the tension in the string if the angle α is
measured to be 25°?
A) 0.089 N
B) 0.041 N
C) 0.20 N
D) 0.22 N
E) 0.46 N
14) A 20-g bead is attached to a light 120 cm-long string as shown in the figure. If the angle α is measured to be 18°, what is
the speed of the mass?
A) 0.55 m/s B) 2.0 m/s
C) 3.8 m/s
D) 1.3 m/s
E) 1.1 m/s
15) A tetherball is on a
string which makes an angle of 56° with the vertical as it moves around the pole in a
horizontal plane. If the mass of the ball is
what is the ball's speed?
A) 5.0 m/s
B) 4.0 m/s
C) 4.6 m/s
D) 5.7 m/s
16) The gravitational acceleration at the surface of planet X is 11.6 m/ , and the radius of the planet is 66,500 km. The
altitude above the surface of planet X at which the weight of a body is equal to that on the surface of the earth, in km, is
closest to:
A) 5,800
B) 7,000
C) 8,200
D) 9,400
E) 11,000
17) At a given point above the surface of the earth, the gravitational acceleration is equal to 7.8 m/s2 The altitude of this
point, above the surface of the earth, in km, is closest to:
A) 770
B) 970
C) 1,500
D) 2,000
E) 2,400
EmmDub’75 is an unknown planet that has two moons in circular orbits.
The table summarizes the hypothetical data about the moons.
18) In the table, the mass of EmmDub’75 is closest to:
A) 1 ×
kg
B) 3 ×
kg
C) 1 ×
kg
D) 3 ×
kg
19) In the table, the maximum gravitational force between the two moons is closest to:
A) 1.6 × 1013 N
B) 4.4 × 1013 N
C) 1.0 × 1014 N
D) 2.0 × 1014 N
E) 1 ×
kg
E) 4.0 × 1014 N
20) In the table, a meteoroidal fragment is in circular orbit around Moon B, at a small altitude above the surface. The speed
of this body is closest to:
A) 220 m/s
B) 320 m/s
C) 440 m/s
D) 640 m/s
E) 880 m/s
21) In the table, the gravitational acceleration at the surface of Moon B is closest to:
A) 0.10 m/s2
B) 0.15 m/s2
C) 0.20 m/s2
D) 0.25 m/s2
E) 0.30 m/s2
22) A 3.0-kg mass and a 5.0-kg mass hang vertically at the opposite ends of a rope that goes over an ideal pulley. If the
masses are gently released from rest, how long does it take for the 3.0-kg mass to rise by 1.0 m?
A) 0.41 s
B) 0.74 s
C) 0.82 s
D) 1.8 s
E) 0.90 s
23) A 50-kg box is resting on a horizontal floor. A force of 250 N directed at an angle of 30.0° below the horizontal is
applied to the box. The coefficient of static friction between the box and the surface is 0.40, and the coefficient of
kinetic friction is 0.30. What is the force of friction on the box?
A) 32 N
B) 200 N
C) 220 N
D) 250 N
E) 620 N
24) The figure shows a block of mass resting on a 20° slope. The block has coefficients
of friction s=0.64 and k = 0.54 with the surface of the slope. It is connected using
a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string
above the slope pulls parallel to the surface. What is the minimum mass m so the
system will remain at rest when it is released from rest?
A) 2.1 kg
B) 3.3 kg
C) 1.3 kg
D) 3.6 kg
Three blocks, connecting ropes, and a light frictionless pulley comprise a system, as
shown. An external force P is applied downward on block A. The system accelerates at
the rate of 2.5 m/s2. The tension in the rope connecting block B and block C is 60 N.
25) In the Figure , the external force P is closest to:
A) 170 N
B) 190 N
C) 210 N
D) 230 N
E) 250 N
26) The tension in the rope connecting block A and block B is closest to:
A) 240 N
B) 260 N
C) 280 N
D) 300 N
E) 320 N
27) The mass of block C is closest to:
A) 5 kg
B) 7 kg
C) 9 kg
D) 11 kg
E) 13 kg
28) Blocks A and B of masses 10 kg and 7 kg, respectively, are connected by a
rope, which passes over a light frictionless pulley, as shown. The horizontal
surface is rough. The coefficients of static and kinetic friction are 0.40 and
0.20, respectively. External forces P and Q act on block B, as shown. In the
Figure force P equals 28 N. The maximum value of force Q, for which the
system remains at rest is closest to:
A) 140 N
B) 120 N
C) 98 N
D) 110 N
E) 130 N
29) Blocks A and B of masses 18 kg and 19 kg, respectively, are connected by a rope, which passes over a light frictionless
pulley, as shown. The horizontal surface is rough. The coefficients of static and kinetic friction are 0.40 and 0.20,
respectively. External forces P and Q act on block B, as shown. In Figure 5.20, force P equals 76 N. The force Q for which
the block descends at constant speed is closest to:
A) 120 N
B) 130 N
C) 140 N
D) 160 N
E) 72 N
30) Blocks A and B of masses 14 kg and 15 kg, respectively, are connected by a rope, which passes over a light frictionless
pulley, as shown. The horizontal surface is rough. The coefficients of static and kinetic friction are 0.40 and 0.20,
respectively. External forces P and Q act on block B, as shown. In Figure 5.20, force Q equals zero. The force P, for which
block B is on the verge of moving, is closest to:
A) 200 N
B) 540 N
C) 310 N
D) 1,200 N
E) 400 N
A 5.0 kg block and a 4.0 kg block are connected by a 0.6 kg rod. The links between the blocks
and the rod are denoted by A and B. A force F is applied to the upper block.
31) The blocks and rod assembly move downward at constant velocity. The applied force F is
closest to:
A) 88 N
B) 90 N
C) 92 N
D) 94 N
E) 96 N
32) In the Figure, the blocks and rod assembly move upward at constant velocity. The force in link A
is closest to:
A) 39 N
B) 41 N
C) 43 N
D) 45 N
E) 47 N
33) In the Figure, the applied force F equals 150 N. The force in link B is closest to:
A) 54 N
B) 56 N
C) 58 N
D) 60 N
E) 62 N
34) In the Figure the force in link B is 40 N. The acceleration of the blocks and rod assembly, is closest to:
A) zero
D) 1.2 m/s2, downward
2
B) 1.2 m/s , upward
E) 2.4 m/s2, downward
2
C) 2.4 m/s , upward
35) A 6.0-kg box slides down an inclined plane that makes an angle of 39° with the horizontal. If the coefficient of kinetic
friction is 0.40, at what rate does the box accelerate down the slope?
A) 3.1 m/s2
B) 3.4 m/s2
C) 3.7 m/s2
D) 4.1 m/s2
36) What is the mass of an object with a gravitational force of 685 N near Earth's surface where g = 9.80 m/s2?
A) 69.9 kg
B) 68.5 kg
C) 71.3 kg
D) 72.7 kg