Physics: Energy, Scalars, and Motion

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Questions and Answers

A cyclist travels 10 km north and then 5 km south. Which of these statements is true about the cyclist's journey?

  • The cyclist's displacement is 5 km south.
  • The cyclist's displacement is 15 km north.
  • The cyclist's total distance traveled is 5 km.
  • The cyclist's displacement is 5 km north. (correct)

A car accelerates from rest to a speed of 20 m/s in 5 seconds. What is the car's acceleration?

  • 5 m/s²
  • 100 m/s²
  • 4 m/s² (correct)
  • 20 m/s²

Which of these statements correctly describes the relationship between the force applied to a spring and its extension?

  • The force applied to a spring is inversely proportional to its extension.
  • The force applied to a spring is directly proportional to its extension, up to the limit of proportionality. (correct)
  • The extension of a spring is inversely proportional to the force applied.
  • The extension of a spring is directly proportional to the force applied, regardless of the limit of proportionality.

A skydiver jumps out of a plane. As the skydiver falls, what happens to the force of air resistance acting on them?

<p>The force of air resistance increases. (A)</p> Signup and view all the answers

A ball is thrown vertically upwards. Which of these statements is true about the ball's velocity and acceleration at the highest point of its trajectory?

<p>Velocity is zero, acceleration is downwards. (C)</p> Signup and view all the answers

A spring with a spring constant of 50 N/m is stretched by 0.2 m. What is the elastic potential energy stored in the spring?

<p>1 J (C)</p> Signup and view all the answers

Two identical springs are connected end-to-end. If a force is applied to the combination, what is the effective spring constant of the system?

<p>Half the spring constant of a single spring. (D)</p> Signup and view all the answers

Which of these is a scalar quantity?

<p>Distance (D)</p> Signup and view all the answers

Flashcards

Elastic Potential Energy

Energy stored in an elastic object when deformed (stretched or compressed).

Scalar Quantity

A measurement that has only magnitude, like distance or speed.

Vector Quantity

A measurement that has both magnitude and direction, like displacement or velocity.

Distance-Time Graph

A graph where the slope indicates speed; steeper means faster.

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Velocity-Time Graph

A graph where the slope indicates acceleration; area under line shows distance travelled.

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Hooke's Law

The extension of a spring is proportional to the force applied until the limit of proportionality is reached.

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Terminal Velocity

The constant speed an object reaches when the force of air resistance equals the force of gravity.

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Elastic Potential Energy Formula

Calculated as E_e = 1/2 * spring constant * (extension)^2.

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Study Notes

Elastic Potential Energy

  • Elastic objects return to their original shape after deformation
  • Work is done when stretching/squashing an elastic object
  • Energy is stored as elastic potential energy
  • Elastic Potential Energy = 1/2 x spring constant x (extension)²

Scalars and Vectors

  • Scalars have only magnitude (size)
  • Vectors have both magnitude and direction
  • Examples of scalar quantities: distance, speed, time, mass, energy
  • Examples of vector quantities: displacement, velocity, acceleration, force

Velocity and Acceleration

  • Speed is the rate of change of distance
  • Velocity is the rate of change of displacement
  • Velocity = change in distance / change in time (v = Δs/Δt)
  • Acceleration is the rate of change of velocity
  • Acceleration = change in velocity / change in time (a = Δv/Δt = (v-u)/t)
  • The gradient of a distance-time graph gives speed
  • The gradient of a velocity-time graph gives acceleration
  • The area under a velocity-time graph gives total distance travelled

Hooke's Law

  • Extension of a spring is directly proportional to the force applied, up to the limit of proportionality.
  • Force = spring constant x extension (F = ke)
  • Stiffer springs have larger spring constants

Air Resistance

  • The size of air resistance depends on the speed and area of the moving object perpendicular to the air flow

Terminal Velocity

  • An object falling in air accelerates at first
  • As speed increases, drag increases
  • Resultant force decreases
  • Acceleration decreases
  • Object travels at a constant speed (terminal velocity)

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