Q: A force of 10 N is applied perpendicular to a wrench 0.3 m long. What is the torque produced?

$$\tau = 3\ \mathrm{N\cdot m}$$

Q: Which of the following is the correct expression for angular momentum of a point mass?

$$\vec{L} = \vec{r} \times \vec{p}$$

Q: A system is in static equilibrium. Which of the following must be true?

$$\vec{F}_{net} = 0$$ and $$\vec{\tau}_{net} = 0$$

Question 1

A 2 kg object moves with a velocity of 3 m/s. What is its linear momentum?

Accepted Answer

$$p = 6\ \mathrm{kg\cdot m/s}$$

Question 2

Which of the following statements is TRUE for a perfectly elastic collision between two objects?

Accepted Answer

Both linear momentum and kinetic energy are conserved.

Question 3

A 5 kg object at rest explodes into two pieces: one of 2 kg moving at 6 m/s and the other of 3 kg. What is the velocity of the 3 kg piece immediately after the explosion?

Accepted Answer

$$v = -4\ \mathrm{m/s}$$

Question 4

The impulse delivered to an object is equal to:

Accepted Answer

$$\vec{J} = \int \vec{F}_{\mathrm{net}} dt$$

Question 5

Which of the following best describes the center of mass of a system?

Accepted Answer

The point where the total mass of the system can be considered to be concentrated for translational motion.

Question 6

A disk of mass $$M$$ and radius $$R$$ rotates about an axis through its center. What is its moment of inertia?

Accepted Answer

$$I = \frac{1}{2}MR^2$

Question 7

A force of 10 N is applied perpendicular to a wrench 0.3 m long. What is the torque produced?

Accepted Answer

$$	au = 3\ \mathrm{N\cdot m}$$

Question 8

According to the parallel axis theorem, the moment of inertia about an axis parallel to the center of mass axis is:

Accepted Answer

$$I_A = I_{cm} + Md^2$

Question 9

A solid sphere rolls without slipping down an incline. Which of the following is conserved?

Accepted Answer

Mechanical energy

Question 10

Which of the following is the correct expression for angular momentum of a point mass?

Accepted Answer

$$\vec{L} = \vec{r} 	imes \vec{p}$$

Question 11

A system is in static equilibrium. Which of the following must be true?

Accepted Answer

$$\vec{F}_{net} = 0$$ and $$\vec{	au}_{net} = 0$$

Question 12

Which of the following best describes a system in unstable equilibrium?

Accepted Answer

A slight disturbance moves the system away from its original position.

Question 13

The pressure at a depth $$h in a $$liquid of density $$\rho is $$given by:

Accepted Answer

$$P = P_0$ + \rho gh$$

Question 14

According to Archimedes' principle, the buoyant force on an object submerged in a fluid is equal to:

Accepted Answer

The weight of the fluid displaced by the object

Question 15

For an incompressible fluid flowing through a pipe, which equation expresses conservation of mass?

Accepted Answer

$$\rho A v = \mathrm{const}$$

Question 16

A mass-spring system oscillates with amplitude $$A$$ and spring constant $$k. $$What is the total mechanical energy?

Accepted Answer

$$E = \frac{1}{2}kA^2$

Question 17

The equation $$d^2x/dt^2$ + \$$omega^2$$ x = 0$ describes:

Accepted Answer

Simple harmonic motion

Question 18

A standing wave on a rope of length $$L$$ clamped at both ends has a wavelength given by:

Accepted Answer

$$\lambda_n = 2L/n$$

Question 19

The speed of a wave on a rope under tension $$F_T$$ and linear mass density $$\mu is$$:

Accepted Answer

$$v = \sqrt{F_T/\mu}$$

Physics Study Notes: Momentum, Rotational Dynamics, Fluids, and Oscillations

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