Important Measurements in Physics Module 1-18
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Questions and Answers

What is the unit of measurement for acceleration?

  • Meter per second squared (m/s²) (correct)
  • Meter (m)
  • Meter per second (m/s)
  • Kilogram (kg)
  • Which of the following is a scalar quantity?

  • Weight
  • Mass (correct)
  • Velocity
  • Force
  • If the decimal point is present, how are zeros to the left of the first nonzero digit classified?

  • Always counted
  • Not significant (correct)
  • Sometimes significant
  • Significant
  • What is the relative error if a measured value is 5.5 kg and the expected value is 8 kg?

    <p>31.25%</p> Signup and view all the answers

    Which of the following statements about scientific notation is true?

    <p>Both large and small numbers can be expressed in scientific notation.</p> Signup and view all the answers

    What does precision in measurement refer to?

    <p>Degree of exactness in measurement</p> Signup and view all the answers

    What is the derived unit of force?

    <p>Newton (N)</p> Signup and view all the answers

    Which of the following quantifies has both magnitude and direction?

    <p>Velocity</p> Signup and view all the answers

    What does the length of the arrow in a vector representation indicate?

    <p>The magnitude of the vector</p> Signup and view all the answers

    What formula is used to calculate average acceleration?

    <p>a = (final velocity - initial velocity) / time</p> Signup and view all the answers

    What is the measured unit for acceleration?

    <p>m/s²</p> Signup and view all the answers

    Which statement accurately describes free fall?

    <p>It occurs when air resistance is negligible.</p> Signup and view all the answers

    Which calculation is used to determine the final velocity during uniformly accelerated motion?

    <p>Vf = Vi + (a)(time)</p> Signup and view all the answers

    In projectile motion, what determines the shape of the object's trajectory?

    <p>The angle of projection</p> Signup and view all the answers

    What happens to the acceleration of an object in free fall as it descends?

    <p>It remains constant at 9.8 m/s².</p> Signup and view all the answers

    What is the term for motion with constant acceleration?

    <p>Uniformly accelerated motion</p> Signup and view all the answers

    What is the net force acting on the box given a pulling force of 500 N and a frictional force of 450 N?

    <p>50 N (West)</p> Signup and view all the answers

    What would be the acceleration of the box if the net force acting on it is 50 N and its mass is 100 kg?

    <p>0.5 m/s² (West)</p> Signup and view all the answers

    If the coefficient of friction between the block and the table is 0.40, what is the force required to maintain constant velocity with an additional 30.0 N brick on the block?

    <p>64 N</p> Signup and view all the answers

    According to the Principle of Work, if a force of 20 N is applied over a displacement of 5 m, how much work is done?

    <p>100 J</p> Signup and view all the answers

    What type of potential energy is associated with an object due to its position in a gravitational field?

    <p>Gravitational Potential Energy</p> Signup and view all the answers

    Which formula correctly represents the relationship between power, work, and time?

    <p>P = W/t</p> Signup and view all the answers

    What occurs when the frictional force is sufficient to prevent relative motion between surfaces?

    <p>Static friction</p> Signup and view all the answers

    Which of the following expressions correctly describes how to calculate work when the force is applied at an angle?

    <p>W = (F × cos Ø) × d</p> Signup and view all the answers

    What is the maximum height of a projectile when its vertical velocity (Vy) becomes zero?

    <p>The apex of its trajectory</p> Signup and view all the answers

    Which of the following correctly describes centripetal acceleration?

    <p>It is directed toward the center of the circular path</p> Signup and view all the answers

    How is the force of gravity related to the motion of a projectile in its vertical component?

    <p>It creates a downward acceleration equal to g</p> Signup and view all the answers

    What is true about the tangential speed of an object in uniform circular motion?

    <p>It remains constant throughout the motion</p> Signup and view all the answers

    What does Newton's Second Law imply about the relationship between force, mass, and acceleration?

    <p>Higher mass results in lower force for the same acceleration</p> Signup and view all the answers

    In a free body diagram, which of the following forces is typically not represented?

    <p>Internal forces within the object</p> Signup and view all the answers

    If a car is moving around a circular track with a radius of 48.2 m and a centripetal acceleration of 8.05 m/s², what is its tangential speed?

    <p>19.7 m/s</p> Signup and view all the answers

    Which of the following statements reflects Newton's First Law of Inertia?

    <p>An object at rest will remain at rest unless acted upon by an external force</p> Signup and view all the answers

    What does the Work-Energy Theorem primarily relate?

    <p>Work done and energy changes</p> Signup and view all the answers

    What is the formula for mechanical energy?

    <p>ME = KE + PE</p> Signup and view all the answers

    Which of the following accurately describes the center of mass (COM)?

    <p>The average position of all particles of an object</p> Signup and view all the answers

    What is the impulse-momentum theorem formula?

    <p>I = Ft</p> Signup and view all the answers

    In an elastic collision, what can be said about the total kinetic energy?

    <p>It is conserved.</p> Signup and view all the answers

    Under which condition does the coefficient of restitution equal 1?

    <p>During an elastic collision</p> Signup and view all the answers

    What is impulse a product of?

    <p>Force and time</p> Signup and view all the answers

    What is the primary assumption of the Law of Conservation of Momentum?

    <p>That the total momentum remains constant if no external forces act</p> Signup and view all the answers

    Study Notes

    Important Measurements

    • Base Quantities: Length (meter), Mass (kilogram), Time (second).
    • Derived Quantities: Velocity (m/s), Acceleration (m/s²), Force (Newton), Work/Energy (Joule).

    Notation and Significant Digits

    • Regular Notation: Standard numerical representation (e.g., 760).
    • Scientific Notation: Uses powers of ten to express large or small numbers.
      • Large Example: 280,000,000 = 2.8 x 10^8.
      • Small Example: 0.0000056 = 5.6 x 10^-6.
    • Significant Digits Rules:
      • Nonzeros are significant.
      • Zeros between digits are significant.
      • Leading zeros (e.g., 0.0078) are not significant.
      • Trailing zeros after decimals (e.g., 0.07800) are significant.

    Measurement Concepts

    • Accuracy: Closeness to the true value measured using relative error formula.
    • Precision: Degree of exactness in measurement, expressed as relative or fractional uncertainty.

    Scalar and Vector Quantities

    • Scalar Quantities: Have only magnitude (e.g., distance, speed).
    • Vector Quantities: Have both magnitude and direction (e.g., velocity, force).

    Motion Principles

    • Motion: Change in position over time relative to a reference point.
    • Acceleration: Rate at which an object's velocity changes.
    • Uniformly Accelerated Motion (UAM): Motion with constant acceleration; significant in free fall.

    Acceleration Formulas

    • Average Acceleration = Change in Velocity / Time.
    • Constant acceleration = 9.8 m/s² for freely falling objects.

    Free Fall and Projectile Motion

    • Free Fall: Motion under gravity without air resistance, accelerating at approximately 9.8 m/s².
    • Projectile Motion: Movement in a parabolic path, includes x and y components and time of flight.

    Circular Motion

    • Tangential Speed (vT): Speed of an object moving in a circular path, constant in uniform circular motion.
    • Centripetal Acceleration (ac): Acceleration directed towards the circle's center.
    • Centripetal Force (Fc): Net force directing toward the center, calculated as Fc = m * ac.

    Newton's Laws of Motion

    • First Law (Inertia): Objects at rest stay at rest, and objects in motion continue in uniform motion unless acted upon by an external force.
    • Second Law: Force = mass × acceleration; acceleration is directly proportional to net force.
    • Third Law: For every action, there is an equal and opposite reaction.

    Work, Energy, and Power

    • Work (W): Force applied over a distance, W = F × d; includes angles using cosine in its formula.
    • Power (P): Rate at which work is done, P = W/t.
    • Mechanical Energy: Total energy comprising kinetic and potential energy.

    Momentum

    • Momentum: Describes motion difficulty; a vector quantity.
    • Impulse: Force applied over time; relates to change in momentum (Impulse = Force × Time).
    • Conservation of Momentum: Total momentum remains constant in a closed system without external forces.

    Collisions

    • Coefficient of Restitution (e): Ratio of velocities before and after collision; determines elasticity of collisions.
      • Elastic Collision: e = 1, total momentum, and kinetic energy conserved.
      • Inelastic Collision: 0 < e < 1, momentum conserved, but kinetic energy not.
      • Perfectly Inelastic Collision: e = 0, objects stick together post-collision.

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    Description

    This quiz covers essential measurements to remember in physics, including base and derived quantities. Understand the significance of units like meter, kilogram, and Newton as well as concepts like velocity, acceleration, and work/energy. Test your knowledge and ensure you are well-prepared.

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