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Introduction to Basic Mechanics
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Introduction to Basic Mechanics

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Questions and Answers

How much gross income is required to cover monthly expenses of $3,120 considering a 42% tax rate?

  • $80,000
  • $100,000
  • $60,000
  • $70,000 (correct)

    • Which of the following terms is defined in the chapter?

  • Friction
  • Momentum
  • Acceleration (correct)
  • Torque

    • If you invest $300/month at 3% interest for 40 years, what is the approximate total amount you will have?

  • $350,000
  • $400,000
  • $150,000
  • $275,000 (correct)

    • In mechanics, which scenario involves the study of forces acting upon a body?

    <p>Raising an elevator</p> Signup and view all the answers

    What is the equivalent hourly wage required to meet a gross income of $70,000 per year?

    <p>$33.65</p> Signup and view all the answers

    Which of these processes does NOT involve the action or movement of forces?

    <p>Sitting at a desk</p> Signup and view all the answers

    What could be a potential financial consideration for someone saving for retirement, based on the information provided?

    <p>Diversify income sources</p> Signup and view all the answers

    What characterizes static mechanics?

    <p>It deals with forces and bodies at rest.</p> Signup and view all the answers

    Which statement best describes Newton's First Law of Motion?

    <p>An object will remain at rest or in uniform motion unless acted upon by an external force.</p> Signup and view all the answers

    How is weight defined in contrast to mass?

    <p>Weight is dependent on gravitational force, while mass is not.</p> Signup and view all the answers

    What does acceleration represent in the context of motion?

    <p>The change in velocity over time.</p> Signup and view all the answers

    Which equation accurately represents the relationship between velocity, displacement, and time?

    <p>V = distance / time</p> Signup and view all the answers

    What is the correct unit of measurement for force in the SI system?

    <p>Newton (N)</p> Signup and view all the answers

    If a body is moving at constant velocity, which of the following must be true?

    <p>The net force acting on it is zero.</p> Signup and view all the answers

    During which of the following scenarios is only acceleration taking place?

    <p>An object falling freely under the influence of gravity.</p> Signup and view all the answers

    How is velocity best defined?

    <p>The speed of an object in a specific direction.</p> Signup and view all the answers

    In what way do action and reaction forces described by Newton's Third Law of Motion act?

    <p>They act on different objects.</p> Signup and view all the answers

    What is the acceleration due to gravity near the Earth's surface?

    <p>9.81 m/s²</p> Signup and view all the answers

    If a force of 2000 N is applied over an area of 0.25 m², what is the calculated pressure in kPa?

    <p>8 kPa</p> Signup and view all the answers

    Which formula correctly expresses the relationship between force, mass, and acceleration?

    <p>F = MxA</p> Signup and view all the answers

    What is the pressure exerted by a force of 22,000 N acting over an area of 0.55 m²?

    <p>12,100 Pa</p> Signup and view all the answers

    How much work is done when a force is applied to move an object a certain distance?

    <p>If it causes the object to move</p> Signup and view all the answers

    What is the correct unit for pressure when dealing with larger values?

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

    If a mass of 1 kg is affected by gravity, what is the resulting force in Newtons?

    <p>9.81 N</p> Signup and view all the answers

    What does the formula F = MxA represent in the context of physics?

    <p>The relationship between mass, force, and acceleration</p> Signup and view all the answers

    What is the correct formula to calculate acceleration?

    <p>Acceleration = Final Velocity - Initial Velocity / Time</p> Signup and view all the answers

    If a dragster starts from rest and reaches a speed of 50 m/s in 10 seconds, what is its acceleration?

    <p>5 m/s²</p> Signup and view all the answers

    What is the value of velocity calculated in the initial example?

    <p>0.521 m/sec North</p> Signup and view all the answers

    What are the units for acceleration?

    <p>meters per second squared (m/s²)</p> Signup and view all the answers

    If an object has a final velocity of 100 m/s and an initial velocity of 40 m/s over a time of 20 seconds, what is the acceleration?

    <p>3 m/s²</p> Signup and view all the answers

    Which of the following statements about velocity is true?

    <p>Velocity includes both speed and direction.</p> Signup and view all the answers

    A cat accelerates at 3 m/s² for 20 seconds. If it starts from a speed of 40 m/s, what will be its final speed?

    <p>80 m/s</p> Signup and view all the answers

    What is the change in velocity if the initial velocity is 15 m/s and the final velocity is 55 m/s?

    <p>40 m/s</p> Signup and view all the answers

    How much work is done when a force of 4000 N moves an object 30 meters?

    <p>120,000 J</p> Signup and view all the answers

    What is the formula for calculating potential energy?

    <p>PE = m x g x h</p> Signup and view all the answers

    If a piano has a potential energy of 58,860 J, what is its mass if dropped from a height of 30 m?

    <p>200 kg</p> Signup and view all the answers

    What power is developed if a force of 200 N moves a distance of 10 m in 20 seconds?

    <p>100 Watts</p> Signup and view all the answers

    What is the kinetic energy of a 500 kg mass moving at a velocity of 200 m/s?

    <p>10,000,000 J</p> Signup and view all the answers

    If a force of 300 N is exerted on an object at a height of 50 m, what is the potential energy?

    <p>15,000 J</p> Signup and view all the answers

    What unit is commonly used to express power in larger quantities?

    <p>Kilowatt (kW)</p> Signup and view all the answers

    What form of energy can be observed through its effects, as per the definition provided?

    <p>Kinetic Energy</p> Signup and view all the answers

    Study Notes

    Introduction to Basic Mechanics

    • Mechanics is the study of forces and their effect on bodies at rest or in motion.
    • It is used to understand forces acting on structures like boiler supports, girders, and elevators.

    Branches of Mechanics

    • Static Mechanics: Deals with forces and their effect on rigid bodies at rest.
    • Dynamic Mechanics: Deals with motion and the effects of forces acting upon rigid bodies in motion.

    Newton's Laws of Motion

    • First Law: A body continues in its state of rest or uniform motion in a straight line, unless acted upon by an external force.
    • Second Law: The rate of change of motion is proportional to the force producing the change and occurs in the direction of the force.
    • Third Law: For every action, there is an equal and opposite reaction.

    Objective 1: Defining Key Terms

    • Mass: The quantity of matter a body contains, measured in kilograms (kg).
    • Weight: The force exerted on an object due to gravity, measured in Newtons (N).
    • Acceleration: The rate of change of velocity over time, measured in meters per second squared (m/s²).
    • Velocity: The rate of change of position (displacement) over time, measured in meters per second (m/s).
    • Force: Any action that tends to change a body's size, shape, or state of rest or motion, measured in Newtons (N).

    Objective 2: Performing Calculations

    • Pressure: Force per unit area, measured in Pascals (Pa).
    • Pressure Formula: Pressure = Force / Area
    • Work: The product of force and distance, measured in Joules (J).
    • Work Formula: Work done = Force x Distance
    • Power: The rate at which work is done, measured in Watts (W).
    • Power Formula: Power = Work done / Time
    • Energy: Ability of a body to do work.
    • Potential Energy (PE): The energy possessed by a body due to its position, measured in Joules (J).
    • Potential Energy Formula: PE = Mass x Gravity x Height
    • Kinetic Energy (KE): The energy possessed by a body due to its motion, measured in Joules (J).
    • Kinetic Energy Formula: KE = 1/2 x Mass x Velocity²

    Acceleration due to Gravity

    • The Earth's gravitational force causes a falling body to accelerate at a rate of 9.81 m/s².
    • This acceleration due to gravity is constant near the Earth's surface.
    • Force due to gravity on a 1 kg mass is 9.81 N.

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    Explore the fundamental concepts of mechanics, including its branches and Newton's laws of motion. This quiz covers key terms related to forces, mass, and weight, providing a solid foundation in understanding how forces affect bodies at rest or in motion.

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