Uniformly Accelerated Rectilinear Motion Exercises
Solved Exercises
Exercise 1
A body moves from rest with a constant acceleration of 8 m/s². Calculate:
- The speed within 5 seconds.
- The distance traveled from rest in the first 5 seconds.
Data:
vi = 0 m/s
a = 8 m/s²
t = 5 s
Solution:
vf = vi + at = 0 m/s + 8 m/s² × 5 s = 40 m/s
d = vit + (at²/2) = 0 m/s × 5 s + (8 m/s² × (5 s)²)/2 = 100 m
Exercise 2
The velocity of a vehicle increases smoothly from 15 km/h to 60 km/h in 20 s. Calculate:
- The average speed in km/h and m/s.
- The acceleration.
- The distance in
Physics Concepts: Heat, Energy, and Thermodynamics
Heat, Energy, and Thermodynamics
Heat and Energy
1 cal = 4.18 J
1 J = 0.24 cal
Q = m * ce * (tf – ti)
Qgained + Qlost = 0
Q = m * L (Latent Heat)
Thermal Expansion
Cubic Expansion: β * V * Δt
β (cubic expansion coefficient)
V = initial volume
Δt = temperature increase
Superficial Dilatation: γ * S * Δt
γ (coefficient of superficial dilatation)
S = Initial surface area
Δt = temperature increase
Linear Expansion: α * L * Δt
α (linear expansion coefficient)
L = original length
Δt = temperature increase
Work
Read MoreSolar System
Solar System: A Celestial Overview
The solar system encompasses celestial bodies extending 6,000 million kilometers from the sun. It includes:
- 1 star (the sun)
- 8 planets
- Dwarf planets
- Natural satellites
- Asteroids
- Comets
- Meteorites
- Vast quantities of gas and dust
Planets
- In ancient Greek, meaning “wandering star”
- Cold surfaces in thermal equilibrium with solar radiation
- Shine by reflecting sunlight; they do not generate their own light
- Small and rocky (closer to the sun)
- Large and gaseous (further from the sun)
Wave Phenomena and Electric Charge Principles
Principle of Superposition: When two or more waves propagate through a medium, the resulting disturbance at each point of the medium is equal to the sum of the disturbances each wave would have spread in isolation. y = y1 + y2.
Interference: Phenomenon that occurs when two wave motions are coincident (in space and time). Interference leads to areas with intensified wave motion and areas with weakened wave motion. The former are the constructive interference in which the amplitude of the resultant
Read MoreMagnetism: Fields, Forces, and Induction
Magnetic Fields
A magnetic field exists in a region of space if a moving charge q experiences a magnetic force. Its value has been demonstrated experimentally. The intensity of the magnetic field depends on load, speed, and the angle between the velocity (v) and the magnetic field (B). The force is perpendicular to both v and B, and its direction is reversed if the sign of the charge is reversed. The force’s magnitude is F = qvB sin(θ) = q(v x B), measured in Tesla (T).
Field Lines
Field lines leave
Read MoreRadiographic Film Processing and Projection Techniques
Radiographic Image Projection
A radiograph’s image, essentially a shadow, adheres to the principles of visible light projection. Capturing a three-dimensional object requires representation in two planes. Two primary projection methods achieve this:
Parallel Projection
In parallel projection, the projection plane lies parallel to the object’s axis, with the central beam perpendicular to both. This common technique, ideal for radiographic recording, magnifies the object. Photons tangential to the
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