MC Review Test - Practice Exam 1

Which of the following correctly describes the potential energy Usys of the system as the object moves from 0m to 0.10m?

Usys increases only

Which of the following provides a velocity-time graph that could correspond to the diagram and provides correct reasoning?

A

Which of the following correctly compares the angular displacements ∆θₐ and ∆θᵦ of disks A and B, respectively, during the period shown, and provides a correct reasoning.

∆θa ≠ ∆θb because the are under Disk A’s curve is greater than the area under Disk B’s curve.

What is the tension in the string connecting the two blocks?

4.5 N

Which of the following best represents the path of the falling stone observed by Student 1 and the path of the falling stone observed by Student 2?

C

Which of the following is a correct expression for tᵥ?

tv = (π/2) (√14L/15g)

Which of the following correctly justifies why the motion can be called simple harmonic motion?

The pendulum is released at a small angle, so the torque is directly proportional to the angle that the pendulum makes with the vertical.

By what factor should the length of the rod be increased to increase the rotational inertia of the rod-sphere system to 2I?

√2

What is the magnitude of the net gravitational force on Sphere X due to the other two spheres?

11Gm²/9r²

If the stones are thrown at the same time and air resistance is negligible, which of the following is true?

Stone A reaches the ground first, but the two stones have the same speed just before they hit the ground.

Which of the following correctly ranks the orbital periods Ta, Tb, Tc, and Td of satellites A, B, C, and D, respectively, from least to greatest?

Ta < Td < (Tb = Tc)

Which of the following best describes the motion fo the carts immediately after the collision?

Both carts are moving to the right, but they travel at different speeds.

Which of the following correctly represents the total energy of the block-spring system when the block reaches position x = 2x₀?

E₀

What is the acceleration of the object at time t = 3.0s?

18 m/s²

What is the spring force Fₛ as a function of x?

Fₛ = -9x²+8x-2

What is the acceleration of the object when it reaches a distance R/3 from the center of the asteroid?

(1/3) (GM/R²)

Which of the following is true of the sphere when it reaches the bottom of the ramp?

The sum of the sphere’s translational kinetic energy and rotational kinetic energy equals the initial potential energy of the sphere-Earth system.

What is the angular acceleration of the board immediately after t=0? The rotational inertia of the board rotating about its edge is (1/3) ML².

g((1/2)L + 2x) / ((1/3)L² + 2x²)

What is the distance Block B travels along the horizontal surface before coming to rest?

(1/2) D

The work done on an object is described by the equation W = 3t² + 5t - 1, where W is in joules and t is in seconds. What is the power delivered to the object at t = 2.0s?

17.0 W

Which of the following is closest to the maximum speed Car B can drive through the curve without slipping?

14 m/s

Which of the following is the work done on the box by the rope as it is pulled from x=0 to x=D?

(1/B) sin (BD) cos θ

Which of the following is an expression for the speed of the bllock at time t = T/6

v = πA / T

Which of the following is approximately equal to the amplitude of the resulting motion?

0.20 m

What is the ratio M/m of the masses of the two objects?

2

Which of the following correctly relates E₃ᵣ to Eᵣ?

E₃ᵣ = (1/2) Eᵣ

Which of the following correctly compares the kinetic energy and the momentum of the two-cart-spring system after the collision to those quantities before the collision?

B

What is the angular velocity w of the turntable as a function of time?

w(t) = 9t^(1/2) - 2

A ball is launched from the top of a 30m tall hill with a speed 25 m/s directed at and angle of 40 degrees above the horizontal and is approximately equal to the speed of the ball at the top of its path?

19 m/s

8000 N

Wa < Wb

40 J

Which of the following is a correct expression for w₀?

2 √ kθ³₀ / 3Iᵣ

Which of the following expressions best represents the speed of the two pucks after collision?

(3/4) vᵦ

A

F₂ = 2F₁

Which of the following represents the distance d between the cars as a function of time?

6.4 kg x m²/s

B

v₀ + A