Physics Dynamics and Forces Quiz

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Questions and Answers

What is the main direction of centripetal acceleration for an object moving in a circle?

  • Tangential to the motion
  • Parallel to the velocity vector
  • Inward toward the center (correct)
  • Outward away from the center

A displacement vector indicates the total distance covered by an object during its motion.

False (B)

What is the term for the maximum horizontal distance a projectile can travel?

range

The __________ is the instantaneous acceleration expressed in unit vector notation.

<p>acceleration vector</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Angular Frequency = Rate of change of an angle in circular motion Projectile Motion = Motion due to the acceleration of gravity Tangential Acceleration = Change in speed that is tangent to the circle Relative Velocity = Velocity of an object from a specific reference frame</p> Signup and view all the answers

What is instantaneous acceleration?

<p>The rate of change of velocity with respect to time (A)</p> Signup and view all the answers

Projectile motion is affected by horizontal acceleration.

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

What is the range of a projectile?

<p>The maximum horizontal distance traveled by a projectile.</p> Signup and view all the answers

In uniform circular motion, centripetal acceleration points toward the ______.

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

Which equation is used to calculate the time of flight for a projectile?

<p>Ttof = 2(v0 sin θo) / g (D)</p> Signup and view all the answers

In nonuniform circular motion, both tangential and centripetal accelerations can exist.

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

In projectile motion, the vertical component of initial velocity is represented by ______.

<p>v0 sin θo</p> Signup and view all the answers

What does the velocity vector represent for a particle in motion?

<p>The instantaneous speed and direction of the particle (D)</p> Signup and view all the answers

The displacement vector provides the longest distance between two points on a particle's trajectory.

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

What is the equation for the time of flight of a projectile?

<p>Ttof = 2(v0 sinθo) / g</p> Signup and view all the answers

In uniform circular motion, the total acceleration vector consists of centripetal and __________ accelerations.

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

Match the terms related to motion with their definitions:

<p>Displacement vector = Shortest distance between two points on a trajectory Instantaneous velocity = Speed and direction of a particle at a specific time Acceleration vector = Change in velocity over time</p> Signup and view all the answers

Which of the following correctly defines 'trajectory'?

<p>The path of a projectile through the air (C)</p> Signup and view all the answers

Motion in one direction is dependent on motion in a perpendicular direction.

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

What is the formula for average velocity?

<p>vavg = (r(t2) - r(t1)) / (t2 - t1)</p> Signup and view all the answers

Flashcards

Instantaneous Acceleration

The acceleration of an object at a specific point in time.

Projectile Motion

Motion of an object under the influence of gravity only (constant acceleration).

Time of Flight (Projectile)

The time a projectile takes to reach the ground (same elevation) after launch.

Range (Projectile)

Maximum horizontal distance traveled by a projectile before hitting Earth. Same elevation launch and landing.

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Uniform Circular Motion

Motion in a circle at a constant speed.

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Centripetal Acceleration

Acceleration required for an object to move in a circle (points to center).

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Tangential Acceleration

Acceleration that changes the speed of an object moving in circular motion.

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Nonuniform Circular Motion

Circular motion with changing speed, having both centripetal and tangential acceleration.

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Acceleration Vector

The instantaneous acceleration found by differentiating the velocity function with respect to time using unit vectors.

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Angular Frequency

The rate at which an object moving in a circle changes its angle.

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Relative Velocity

Velocity of an object from a specific observer's perspective.

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Time of Flight

The elapsed time a projectile spends in the air.

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Total Acceleration Vector

The sum of centripetal and tangential accelerations.

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Trajectory

The path a projectile follows through the air.

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Velocity Vector

A vector showing the instantaneous speed and direction of a particle.

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Position Vector (r(t))

Vector showing a particle's position at a given time.

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Displacement Vector (Δr)

Shortest distance between two points on a trajectory.

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Average Velocity

Total displacement divided by the total time.

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Study Notes

Key Terms

  • Dynamics: The study of how forces affect the motion of objects and systems.
  • External Force: A force acting on an object or system originating outside the object or system.
  • Force: A push or pull on an object, measured by magnitude and direction.
  • Free Fall: A situation where the only force acting on an object is gravity.
  • Free-Body Diagram: A sketch showing all external forces acting on an object or system.
  • Hooke's Law: In a spring, the restoring force is proportional to and opposite the displacement.
  • Inertia: The tendency of an object to resist changes in its motion.
  • Inertial Reference Frame: A reference frame moving at a constant velocity relative to an inertial frame.
  • Net External Force: The vector sum of all external forces acting on an object, causing mass to accelerate.
  • Newton: SI unit of force, 1 N accelerates a 1 kg mass at 1 m/s².
  • Newton's First Law: A body at rest stays at rest or, if in motion, stays in motion with constant velocity unless acted upon by a net external force (Law of Inertia).
  • Newton's Second Law: The acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and is inversely proportional to its mass.
  • Newton's Third Law: For every action, there is an equal and opposite reaction.
  • Normal Force: A supporting force perpendicular to the surface of contact.
  • Tension: A pulling force acting along a stretched flexible object like a rope or cable.
  • Thrust: A reaction force pushing a body forward in response to a backward force.
  • Weight: Force due to gravity on an object with mass.

Key Equations

  • Net External Force (Fnet): ∑F = F₁ + F₂ + …
  • Newton's Second Law (Vector Form): ∑F = ma
  • Newton's Second Law (Scalar Form): Fnet = ma
  • Newton's Second Law (Component Form): ∑Fx = max, ∑Fy = may, ∑Fz = maz
  • Newton's Second Law (Momentum Form): Fnet = dp/dt
  • Weight Definition (Vector Form): w = mg
  • Weight Definition (Scalar Form): w = mg
  • Newton's Third Law Equation: FAB = -FBA

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