Physics 1135 Final Exam || with 100% Errorless Solutions.
An object moves along the x-axis. It is moving in the negative x-direction with increasing speed.
The xcomponents of its velocity and acceleration are: A) both positive B) velocity negative,
acceleration positive C) both negative D) velocity positive, acceleration negative correct answers
C) both negative
The position of an object in one dimensional motion as a function of time t is given by x(t) = q -
bt2 + ct3 where q, b, and c are positive constants. At t = 0, the object's position, velocity
component and acceleration component are: A) x = 0 , vx = b , and ax = 0 B) x = q , vx = 0 , and
ax = c C) x = q , vx = -b , and ax = 0 D) x = q , vx = 0 , and ax = -2b correct answers D) x = q ,
vx = 0 , and ax = -2b
(Fall 2019 for picture )Two blocks of mass m1 and mass m2 are connected by a massless string.
The system is given acceleration a across a horizontal frictionless surface by a horizontal force of
magnitude F applied to the block with mass m2 as shown in the figure. What is the tension T in
the string? A) F B) m2 a C) F m1/m2 D) F m1 /(m1 + m2 ) correct answers D) F m1 /(m1 + m2 )
(Fall 2019 for picture) Two objects having masses m and M are connected to each other as
shown in the figure and are released from rest. The surface of the table is rough with a
coefficient of friction . The pulley and cord have negligible mass and are frictionless. The
acceleration of the system is A) (M-m)g/(M+m) B) (M-m)g/(M+m) C) (M+m)g/(M-m) D) (M-
m)g/(M+ m) correct answers B) (M-m)g/(M+m)
A particle with speed V is undergoing uniform circular motion with period T. If the radius is
changed so that the speed and the period are each doubled, what is the ratio of the new
centripetal acceleration to its original value? A) 1/4 B) 4 C) 1 D) 2 correct answers C) 1
A particle with mass M moves in a vertical circle at the end of a taut string of length L. The
speed of the mass at its highest point is V. At its highest point, the magnitude of the net force on
the particle is ________ and is directed ________ . A) MV 2 /L, upward B) MV 2 /L Mg,
upward C) MV 2 /L, downward D) MV 2 /L + Mg, downward correct answers C) MV 2 /L,
downward
The potential energy of a force is given as U(x)=ax2 + bx3 . The x-component of the force is A)
⅓ ax3 + ¼ bx4 B) − ⅓ ax3 - ¼ bx4 C) 2 ax + 3 bx2 D) −2 ax −3 bx2 correct answers D) −2 ax
−3 bx2
A force is acting on a particle and causes its kinetic energy to decrease. The work done by the
force on the particle A) is negative. B) is positive. C) is zero. D) can be positive or negative,
depending on whether the force is conservative or not. correct answers A) is negative.
A block of mass M sits on a vertical spring of force constant k that is compressed a distance S
from its equilibrium length. The block is then released from rest and shoots up, leaving the
spring behind. The speed of the block when it reaches height H above the starting position is A)
,(2gH) ½ B) (kS 2 /M − 2gH) ½ C) (½ kS 2 /(Mg)) ½ D) (kS 2 /M +2gH) ½ correct answers B)
(kS 2 /M − 2gH) ½
Jupiter's mass is about 300 times the mass of the Earth. Jupiter's radius is 10 times the radius of
the earth. If W is your weight on Earth, your weight on Jupiter would be A) ⅓W B) 3 W C) 30
W D) 300W correct answers B) 3 W
If the mass of the moon were doubled but it stayed in its present orbit, the orbital speed would A)
halve. B) double. C) quadruple. D) stay the same. correct answers D) stay the same.
(Fall 2019 for picture) A baseball initially traveling with speed Vi in the positive y-direction is
hit by a bat, which changes the ball's velocity to Vf as shown in the figure. The impulse
delivered to the ball by the bat has A) positive x-component, positive y-component. B) positive
x-component, negative y-component. C) negative x-component, negative y-component. D)
negative x-component, positive y-component. correct answers B) positive x-component, negative
y-component.
You shoot a bullet at a heavy block. The final speed of the block is largest if the bullet: A) stays
imbedded in the block. B) passes through the block but slows down. C) is brought to rest. D)
bounces straight back off the block. correct answers D) bounces straight back off the block.
A cylinder of mass M and radius R rolls without slipping with speed V up an incline. What
vertical height does it reach? The moment of inertia of a solid cylinder is ½MR2 . A) 3𝑉 2 4𝑔 B)
𝑉 2 2𝑔 C) 𝑉 2 4𝑔 D) 7𝑉 2 10� correct answers A) 3𝑉 2 4𝑔
A rotating disk has a point mass of mass m attached to the outer edge and another point mass of
mass M halfway between center and edge. Which of the following is true? A) Both masses have
the same linear velocity. B) The mass m has a larger angular velocity than the mass M. C) Both
masses have the same angular velocity. D) None of the above can be stated without knowing the
ratio of the masses. correct answers C) Both masses have the same angular velocity.
(Fall 2019 for picture) A beam of weight 2W is attached to a wall and held horizontal by a
massless cable which makes an angle θ with respect to the wall. There is a weight W hanging
from the end of the beam. What is the tension in the cable? A) 3𝑊 sin 𝜃 B) 2𝑊 cos𝜃 C) 2𝑊𝐿 sin
𝜃 D) 2𝑊 sin � correct answers B) 2𝑊 cos𝜃
A student spins on a rotating chair, holding two weights close to his body. When the student
stretches out his arms, the angular speed A) increases because the moment of inertia decreases.
B) increases because the moment of inertia must remain the same. C) decreases because the
moment of inertia increases. D) decreases because the moment of inertia must remain the same
correct answers C) decreases because the moment of inertia increases.
A cylinder is floating in water of density ρ. The cylinder remains upright, with 60% of its
volume above the water line. What is the density of the cylinder? A) 0.2 ρ B) 0.4 ρ C) 0.6 ρ D)
1.2 ρ correct answers B) 0.4 ρ
, What fraction of the total mechanical energy of a simple harmonic oscillator is kinetic energy if
the displacement is one third of the amplitude? A) 1 /9 B) ¾ C) 2 /3 D) 8 /9 correct answers D)
8 /9
A mass at the end of a spring oscillates with amplitude A. If the amplitude is doubled, which of
the quantities period T, maximum speed vmax and maximum acceleration amax change? A) T
only B) T and vmax, but not amax C) vmax and amax, but not T D) none of them correct
answers C) vmax and amax, but not T
Santa Claus distributes presents, moving with constant speed along a curved path that is never
straight. The net force acting on Santa Claus is: A) always parallel to Santa Claus's velocity B)
constant C) always perpendicular to Santa Claus's velocity D) zero correct answers C) always
perpendicular to Santa Claus's velocity
An object of mass M rests on a horizontal turntable a distance R from the axis of rotation. The
turntable rotates with period of T. What is the minimum coefficient of static friction between the
turntable and the object if the object is not to slip? A) 4𝜋2R/(gT2) B) T2/(gR ) C) 4𝜋RM/T2 D)
zero correct answers A) 4𝜋2R/(gT2)
A ball is thrown vertically upward with unknown speed and reaches 20 meters. Ignoring air
resistance and taking g =10 m/s 2 , what is the initial speed of the ball? A) 10 m/s B) 20 m/s C)
200 m/s D) 400 m/s correct answers B) 20 m/s
An object moves with constant acceleration, where ax = a (nonzero constant), and ay = 0. Which
condition guarantees that it will move in a straight line? A) The x-component of initial velocity
equals zero. B) The y-component of initial velocity equals zero. C) The x-component and y-
component of initial velocity are equal and not zero. D) The object will never move in a straight
line because the acceleration is constant. correct answers B) The y-component of initial velocity
equals zero.
(Fall 2021 for picture) A box with mass M rests on a rough horizontal surface with coefficient of
static friction 𝜇 between the surface and the box. The box is subject to a constant force P acting
at an angle 𝜃>0 below the horizontal. The magnitude of the friction force is: A) P cos 𝜃 B) 𝜇Mg
C) 𝜇Mg - P cos 𝜃 D) 𝜇(Mg - P sin 𝜃) correct answers A) P cos 𝜃
An object is moving along the x-axis. The x-component of the object's position as a function of
time t is given by x(t) = - A + Bt - Ct 2 where A, B and C are positive constants. Which of the
following statement is true about the object? A) The object is always speeding up. B) The object
has zero speed at t=0. C) The object is always moving in positive x-direction. D) The object has
constant acceleration correct answers D) The object has constant acceleration
An object with mass m is on a scale in an elevator which is moving down and speeding up with
acceleration a. What is the reading on the scale? A) mg - ma B) mg + ma C) mg D) ma correct
answers A) mg - ma
