Physics 101 Past Questions Summary

NIGER DELTA UNIVERSITY - PHYSICS 101 PAST QUESTIONS SUMMARY

Circular Motion: Speed of an object traveling in a circle of radius 9.0m taking 3.0s for one revolution can be calculated using:
v = \frac{2\pi r}{T}
where $T$ is the time for one revolution.
Acceleration of Moon: Moon's centripetal acceleration can be derived from its radius (1.26 x 10³ m) and period (27.3days):
a = \frac{v^2}{r}
Simple Harmonic Motion: For a harmonic oscillator with amplitude and frequency, the maximum acceleration is given by:
a_{max} = (2\pi f)^2 A
Potential and Kinetic Energy: Potential energy when an object of mass 12kg falls from 5m above ground can be calculated using:
PE = mgh
Kinetic energy when the object falls to the ground is:
KE = \frac{1}{2} mv^2
Newton's Laws: Understanding limitations of Newton's first law and principles about friction.
- The first law does not distinguish between stationary and constant velocity.

Kinematics: Relations for an object under constant acceleration include:
v = u + at
s = ut + \frac{1}{2} at^2
v^2 = u^2 + 2as
Forces:
- Gravitational force equation:
  F = \frac{GM{1}M{2}}{r^2}
- Work done by a force is given by:
  W = F \cdot d

Power: The dimension of power is defined as:
[P] = ML^2T^{-3}
Frictions: Work done against friction can be derived from the coefficient of friction.
Energy: Kinetic and potential energy conversion principles as defined in physics.

Dot Product: For vectors $A$ and $B$, $A.B = |A||B| cos(θ)$
Cross Product: A vector $C$ such that $A × B = C$ indicates the sine relations in angles.

Circular motion calculations (centripetal acceleration, speed).
Harmonic motion (maximum acceleration, frequency relationships).
Work-energy theorem applications in various scenarios regarding frictional forces and inclined planes.