Podcast
Questions and Answers
A simple pendulum's period ($T$) is given by $T = 2\pi L^p g^q$, where $L$ is the length and $g$ is the acceleration due to gravity. What are the values of $p$ and $q$ required for dimensional consistency?
A simple pendulum's period ($T$) is given by $T = 2\pi L^p g^q$, where $L$ is the length and $g$ is the acceleration due to gravity. What are the values of $p$ and $q$ required for dimensional consistency?
- $p = \frac{1}{2}$, $q = \frac{1}{2}$
- $p = -\frac{1}{2}$, $q = -\frac{1}{2}$
- $p = -\frac{1}{2}$, $q = \frac{1}{2}$ (correct)
- $p = \frac{1}{2}$, $q = -\frac{1}{2}$
A doctor squirts liquid upward from a syringe with an initial speed of 1.5 m/s. Given that the liquid is subject to gravitational acceleration, what is the maximum height the liquid reaches above the syringe?
A doctor squirts liquid upward from a syringe with an initial speed of 1.5 m/s. Given that the liquid is subject to gravitational acceleration, what is the maximum height the liquid reaches above the syringe?
- 0.115 m (correct)
- 1.50 m
- 0.230 m
- 0.460 m
Vector $\vec{A}$ has a magnitude of 75 m and points in the positive x-direction. Vector $\vec{C} = \vec{A} + \vec{B}$ points in the positive y-direction and has a magnitude of 95 m. What is the magnitude of vector $\vec{B}$?
Vector $\vec{A}$ has a magnitude of 75 m and points in the positive x-direction. Vector $\vec{C} = \vec{A} + \vec{B}$ points in the positive y-direction and has a magnitude of 95 m. What is the magnitude of vector $\vec{B}$?
- 75 m
- 95 m
- 121 m
- 20 m (correct)
A golf ball is hit on level ground with an initial velocity of 25 m/s at an angle of 32° above the horizontal. Assuming negligible air resistance, what is the horizontal distance the golf ball travels before hitting the ground?
A golf ball is hit on level ground with an initial velocity of 25 m/s at an angle of 32° above the horizontal. Assuming negligible air resistance, what is the horizontal distance the golf ball travels before hitting the ground?
The mass of the sun is approximately $2.0 \times 10^{30}$ kg, and the mass of a hydrogen atom is approximately $1.67 \times 10^{-27}$ kg. If the sun were composed entirely of hydrogen, approximately how many hydrogen atoms would it contain?
The mass of the sun is approximately $2.0 \times 10^{30}$ kg, and the mass of a hydrogen atom is approximately $1.67 \times 10^{-27}$ kg. If the sun were composed entirely of hydrogen, approximately how many hydrogen atoms would it contain?
An automobile decelerates from 30.0 m/s to rest over a period of 10.0 s with uniform deceleration. How far does the car travel during this deceleration?
An automobile decelerates from 30.0 m/s to rest over a period of 10.0 s with uniform deceleration. How far does the car travel during this deceleration?
A baseball catcher throws a ball vertically upward and catches it in the same spot. At what point in the ball's trajectory is its velocity zero while its acceleration is non-zero?
A baseball catcher throws a ball vertically upward and catches it in the same spot. At what point in the ball's trajectory is its velocity zero while its acceleration is non-zero?
In a 2-dimensional Cartesian coordinate system, a vector's y-component is determined by multiplying its magnitude by which trigonometric function, in relation to the angle between the vector and the y-axis?
In a 2-dimensional Cartesian coordinate system, a vector's y-component is determined by multiplying its magnitude by which trigonometric function, in relation to the angle between the vector and the y-axis?
Vector $\vec{A}$ has a magnitude of 3.0 units and points along the positive x-axis. Vector $\vec{B}$ has a magnitude of 4.0 units and points at an angle of 150° from the positive x-axis. What is the magnitude of the resultant vector $\vec{A} + \vec{B}$?
Vector $\vec{A}$ has a magnitude of 3.0 units and points along the positive x-axis. Vector $\vec{B}$ has a magnitude of 4.0 units and points at an angle of 150° from the positive x-axis. What is the magnitude of the resultant vector $\vec{A} + \vec{B}$?
The area of a rectangular sheet of paper is calculated to be 93.50 in². If the length measurement has four significant figures, what is the minimum number of significant figures the width measurement must have?
The area of a rectangular sheet of paper is calculated to be 93.50 in². If the length measurement has four significant figures, what is the minimum number of significant figures the width measurement must have?
Flashcards
Period (T)
Period (T)
The time required for one complete oscillation of a pendulum.
Dimensional Consistency
Dimensional Consistency
The process of ensuring that an equation's dimensions are consistent.
Vector
Vector
A quantity that has both magnitude and direction.
Velocity at Peak
Velocity at Peak
Signup and view all the flashcards
Significant Figures
Significant Figures
Signup and view all the flashcards
Dimensional Consistency
Dimensional Consistency
Signup and view all the flashcards
Zero Velocity, Non-Zero Acceleration
Zero Velocity, Non-Zero Acceleration
Signup and view all the flashcards
Study Notes
- Practice problems for Exam 1 concern Physics 1201, covering chapters 1, 2, 3, and 4.
Detail Workout Problems
- The period T of a simple pendulum is the time for one complete oscillation.
- Given pendulum length L and gravity acceleration g, T = 2Ï€L^p g^q.
- Find powers p and q for dimensional consistency.
- A doctor squirts liquid straight up from a syringe at 1.5 m/s.
- Determine how long the liquid takes to return to the syringe level and the maximum height of the liquid above the syringe.
- Vector A points in the positive X direction with a magnitude of 75 m.
- Vector C = A + B points in the positive y direction with a magnitude of 95 m.
- Tasks include sketching A, B, and C, estimating the magnitude and direction of vector B, and verifying the estimate with a numerical calculation.
- A golf ball is hit on level ground at 25 m/s and 32° above the horizontal.
- Find the ball's velocity at the peak of its flight, its velocity upon landing, and how far it travels horizontally.
Multiple Choice Questions
- The sun's mass is 2.0 × 10^30 kg, and a hydrogen atom's mass is 1.67 × 10^-27 kg.
- Assuming the sun is mostly hydrogen, find the number of atoms in the sun: 1.2 x 10^56 atoms, 3.4 x 10^56 atoms, 1.2 x 10^57 atoms, or 2.4 x 10^57 atoms.
- A driver decelerates from 30.0 m/s to zero in 10.0 s; determine the distance traveled: 150 m, 196 m, 336 m, or 392 m.
- A baseball catcher throws a ball vertically upward and catches it in the same spot.
- Establish when the ball experiences zero velocity and non-zero acceleration: midway up, at the top, upon leaving the hand, or just before arriving in the mitt.
- For a 2-dimensional Cartesian coordinate system, link the y-component of a vector to its magnitude and the trigonometric function relative to the angle between the vector and y-axis: sine, cosine, tangent, or cotangent.
- Vector A is 3.0 units along the positive x-axis; vector B is 4.0 units at 150° from it.
- Determine the magnitude of the resultant when vectors A and B are added: 7.0, 6.7, 4.7, or 2.1.
- A standard sheet of paper's area is found to be 93.50 in².
- Identify the minimum number of significant figures in the width measurement: 1, 2, 3, or 4.
- Olympus Mons on Mars rises 22,000 meters with gMars = 3.72 m/s².
- Calculate how long it would take an object thrown horizontally off the mountain top to reach the Martian surface, ignoring atmospheric drag forces: 1.8 minutes, 20.4 minutes, 73.0 minutes, or 108.0 minutes.
- Quantities include distance x, velocity v, acceleration a, and time t.
- Identify which of the following are dimensionally consistent: v = 5at, a^3 = x^2v/t^5, v = x^2v/at^3, x = 3vt, x = t, x = vt + vt^2/2, xa^2 = x^2v/t^4.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Practice problems for Physics 1201 Exam 1, covering pendulum motion, projectile motion, and vector addition. Problems include calculating the period of a pendulum, analyzing liquid ejected from a syringe, and determining the resultant vector. Exercises also cover the trajectory of a golf ball.
