Physics

• What is the version number of the document?

  Version 2.0
• What skills, knowledge, and understanding are assessed in the course?

  • Rotational motion and astrophysics
  • Kinematic relationships
  • Calculus methods for motion
• What does differential calculus notation represent?

  Rate of change
• How is velocity defined in physics?

  Rate of change of displacement with time
• What is acceleration in relation to velocity?

  Rate of change of velocity with time
• What is the second differential of displacement with time?

  Acceleration
• What are the equations of motion derived using calculus methods?

  1. \( v = u + at \)
  2. \( s = ut + \frac{1}{2}at^2 \)
• How can you calculate instantaneous displacement for straight line motion?

  Using calculus methods
• What relationships are used for calculations involving displacement, velocity, and acceleration?

  Appropriate kinematic relationships
• What does the gradient of a curve on a motion-time graph represent?

  Instantaneous rate of change
• What does the gradient of a displacement-time graph indicate?

  Instantaneous velocity
• What does the gradient of a velocity-time graph represent?

  Instantaneous acceleration
• How can the area under a graph be determined?

  By integration
• What does the area under an acceleration-time graph represent?

  Change in velocity
• What does the area under a velocity-time graph represent?

  Displacement
• How can displacement, velocity, or acceleration be determined from a graph?

  • Calculate the gradient of the line
  • Calculate the area under the line between limits
• What is the definition of gravitational potential at a point in space?

  Work done in moving unit mass from infinity
• Is the energy required to move mass in a gravitational field path-dependent?

  No, it is independent of the path
• What relationships are used for calculations involving gravitational potential and energy?

  • \( V = -\frac{GM}{r} \)
  • \( E = -\frac{GMm}{r} \)
• What is escape velocity?

  Minimum velocity to escape gravitational field
• What is the relationship for escape velocity?


  \( v_{esc} = \sqrt{\frac{2GM}{r}} \)
• How can calculations involving escape velocity be performed?

  Using the escape velocity relationship
• What does special relativity deal with?

  Motion in inertial frames of reference
• What does general relativity deal with?

  Motion in non-inertial frames of reference
• What is the equivalence principle?

  Cannot distinguish between uniform gravity and constant acceleration
• What calculations are involved in rotational dynamics?

  • Torque
  • Perpendicular force
  • Distance from the axis
  • Angular acceleration
  • Moment of inertia
• What is the relationship for torque?

  \( \tau = rF \)
• What is the relationship for angular acceleration?


  \( \alpha = \frac{\tau}{I} \)
• What is the relationship for angular momentum?

  \( L = I\omega \)
• What is the relationship for tangential velocity?


  \( v = r\omega \)
• What is the principle of conservation of angular momentum?

  Angular momentum remains constant in closed systems
• How can problems be solved using conservation of angular momentum?

  By applying the conservation principle
• What calculations are involved in energy in rotational dynamics?

  • Potential energy
  • Rotational kinetic energy
  • Translational kinetic energy
• What is the definition of gravitational field strength?

  Gravitational force acting on unit mass
• How can gravitational force be calculated?

  \( F = \frac{GMm}{r^2} \)
• What is the relationship for satellite period in circular orbit?

  \( T = 2\pi\sqrt{\frac{r^3}{GM}} \)
• What is centripetal acceleration?

  Acceleration towards the center of circular motion
• What is the relationship for centripetal force?

  \( F = \frac{mv^2}{r} \)
• What is moment of inertia?

  Resistance to angular acceleration about an axis
• What does moment of inertia depend on?

  Mass and distribution of mass about an axis