Physics Chapter on Significant Figures and Distance

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Questions and Answers

In multiplication and division operations, the final answer should reflect the least number of significant figures from the initial values.

True (A)

Zeros positioned between non-zero digits are deemed non-significant when determining significant figures.

False (B)

Displacement is a scalar quantity that is concerned with both magnitude and direction.

False (B)

If a person runs 5 kilometers north and then 5 kilometers south back to their starting point, their total displacement is 10 kilometers.

<p>False (B)</p> Signup and view all the answers

Distance is concerned with the overall path taken by an object, irrespective of its start and end positions.

<p>True (A)</p> Signup and view all the answers

On a velocity vs. time graph for an object in free fall, the line starts at the origin and has a positive slope because velocity increases at a constant rate in the downward direction.

<p>False (B)</p> Signup and view all the answers

When creating a graph, it is optional to include arrows on the axes to indicate direction and assign variables to each axis.

<p>False (B)</p> Signup and view all the answers

Free fall is a realistic scenario that accounts for air resistance when analyzing the motion of objects under gravity.

<p>False (B)</p> Signup and view all the answers

An object in static equilibrium is characterized by constant velocity motion.

<p>False (B)</p> Signup and view all the answers

The acceleration of gravity, denoted as $\vec{g}$, can be calculated using the formula $g = \frac{F}{m}$ based on Newton's equations, where $F$ is the force of gravity and $m$ is the mass of the object.

<p>True (A)</p> Signup and view all the answers

Flashcards

Gravity

A force that pulls objects towards the center of the Earth, causing them to fall downwards.

Free Fall

The motion of an object falling freely under the influence of gravity, with no air resistance.

Equilibrium

A state where the net force acting on an object is zero, resulting in no change in its motion.

Static Equilibrium

A state of equilibrium where an object is at rest.

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Dynamic Equilibrium

A state of equilibrium where an object is moving at a constant velocity.

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Significant Figures

The number of digits in a measured quantity that reflect its accuracy and precision. Rules determine which digits are significant, such as all non-zero digits, zeros between non-zero digits, and zeros to the right of non-zero digits with decimals.

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Distance

The total length of ground covered by an object during its movement, regardless of its starting or ending points. It only considers the total space traveled.

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Displacement

The length between the starting and ending points of an object's movement, considering both the distance and direction.

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Scientific Notation

A way to represent very large or very small numbers using a coefficient, a base (usually 10), and an exponent. The coefficient is a number between 1 and 10, the base is 10, and the exponent indicates the power of 10.

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Vector Quantity

A quantity that has both magnitude (size) and direction. Examples include displacement, velocity, and force.

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Study Notes

Significant Figures

  • Significant figures indicate accuracy and precision in measurements.
  • Rules for determining significant figures:
    • Non-zero digits are significant.
    • Zeros between non-zero digits are significant.
    • Zeros before the first non-zero digit are not significant.
    • Zeros after a non-zero digit with a decimal point are significant.
    • Zeros after a non-zero digit without a decimal point are not significant.
    • Scientific notation coefficients follow rules 1-5.
  • Arithmetic operations use the least number of significant figures from the given values.

Distance

  • Distance is the total length traveled along a path.
  • It's a scalar quantity (only magnitude).
  • Distance doesn't consider direction or starting/ending point.
  • Example: Walking a mile to the park and back—total distance is 2 miles.

Displacement

  • Displacement is the length between the starting and ending points of a journey, considering direction.
  • It's a vector quantity (magnitude and direction).
  • Displacement is zero if the starting and ending points are the same.
  • It measures the change in position from the initial point.

Motion Graphs

  • Motion can be studied algebraically or graphically.
  • Graphs use variables like position, displacement, velocity, and acceleration.
  • Axes should be labeled with variables and arrows indicating positive and negative directions.
  • Numerical values need to be plotted on both positive and negative sides.

Free Fall Kinematics

  • Free fall kinematics analyzes vertical motion with constant acceleration due to gravity.
  • Position vs. time graph: Shows a curve indicating increasing speed during fall.
  • Velocity vs. time graph: Shows a straight line with negative slope, reflecting downward motion and increasing velocity.

Acceleration Due to Gravity

  • Acceleration due to gravity (g) measures the change in velocity per unit time.
  • g is approximately a constant close to Earth's surface and directed downward.
  • Value of g is given by Newton's equations.
  • Free fall occurs when air resistance is ignored.
  • Objects in free fall with no air resistance reach the ground at the same time.

Force and Equilibrium

  • Force is a push or pull resulting from interaction between objects.
  • Balanced forces have equal magnitude and opposite directions, resulting in no acceleration.
  • Objects at rest (static equilibrium) or moving at constant velocity (dynamic equilibrium) experience balanced forces.
  • Unbalanced forces cause a change in the state of motion.
  • The vector sum of the forces acting on an object in equilibrium is zero.

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