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Effects Of Forces

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Notes

Resultant Forces

  • A **force** is a push or pull that acts on an object due to interaction with another object.
  • Forces can change an object's size, shape, or motion (speed or direction).
  • **Resultant force** is the single force that describes all forces acting on a body.
  • **Balanced forces** are equal in magnitude and opposite in direction; they cancel out (resultant=0)(resultant = 0).
  • **Unbalanced forces** produce a non-zero resultant force, causing a change in motion.
  • To calculate resultant force, assign positive/negative signs to directions and sum the forces.

Newton's First Law

  • Newton's first law: Objects remain at rest or move with constant velocity unless acted on by a resultant force.
  • Constant velocity means no change in speed or direction.
  • If resultant force is zero, the object is either stationary or moving at constant velocity.
  • Example: A mug on a table stays at rest unless a force acts on it.
  • Example: A car moving at constant speed has balanced driving and frictional forces.

Newton's Second Law (Extended)

  • Newton's second law: Acceleration is proportional to resultant force and inversely proportional to mass.
  • Equation: **F = ma**, where F=F = resultant force (N),m=(N), m = mass (kg),a=(kg), a = acceleration (ms2)(\frac{m}{s}^{2}).
  • Acceleration occurs in the same direction as the resultant force.
  • For a given force, larger mass gives smaller acceleration.

Investigating Force & Extension (Extended)

  • Aim: Investigate relationship between force and extension of a spring.
  • Independent variable: force (F); dependent variable: extension (x).
  • Method: Hang masses on a spring, measure extension with a ruler, repeat for different masses.
  • Calculate force as weight (W=mg)(W = mg) and extension as final length minus original length.
  • Plot force against extension; a straight line through origin shows direct proportionality (Hooke's law).

Hooke's Law (Extended)

  • Hooke's law: Extension of an elastic object is directly proportional to force applied, up to the **limit of proportionality**.
  • Equation: **F = kx**, where k=k = spring constant (Nm),x=(\frac{N}{m}), x = extension (m).
  • Spring constant measures stiffness: high k=k = stiff spring, low k=k = stretchy spring.
  • Force-extension graph: linear region obeys Hooke's law; gradient = spring constant.
  • Beyond limit of proportionality, graph curves and Hooke's law no longer applies.

Friction

  • **Friction** opposes motion and causes heating (energy transfer).
  • Solid friction arises from surface imperfections; can be reduced by lubrication or smoothing.
  • Fluid friction (drag) occurs when objects move through gases or liquids; particles collide with object.
  • Air resistance is a type of drag that slows motion and heats the object and air.
  • Streamlining reduces fluid friction.

Moments

  • A **moment** is the turning effect of a force about a pivot.
  • Moment = force × perpendicular distance from pivot (unit: N m).
  • Increasing distance from pivot reduces the force needed for the same moment.
  • **Principle of moments** (extended): For a balanced object, total clockwise moment = total anticlockwise moment.

Equilibrium & Centre of Gravity

  • **Equilibrium**: forces are balanced (no resultant force) and moments are balanced (no resultant moment).
  • **Centre of gravity** is the point where the weight of an object acts.
  • For symmetrical objects, centre of gravity is at the geometric centre.
  • Stability depends on centre of gravity position: stable if it lies above the base; topples if outside base.
  • Wide base and low centre of gravity increase stability.

Investigating Centre of Gravity

  • Aim: Find centre of gravity of an irregularly shaped plane lamina using suspension method.
  • Method: Suspend lamina from a point, use plumb line to mark vertical line; repeat from two other points.
  • Intersection of the three lines gives the centre of gravity.
  • Allow lamina to settle before marking; punch holes before suspending to avoid shifting centre of gravity.

Reflection and refraction of light (not directly related to forces, but illustrates vector direction)

Reflectionnormalincident40°reflected40°

Practice questions

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  1. 1.What is a force?

    Easy
    • AA push or a pull that acts on an object due to interaction with another object
    • BA measure of the mass of an object
    • CThe speed of an object in a given direction
    • DThe energy stored in an object
  2. 2.State two effects that a force can have on an object.

    Easy
  3. 3.A car of mass 900 kg accelerates from 0 to 27 m/s in 3 seconds. Calculate the force required to produce this acceleration.

    Medium
    • A8910
    • B7290
    • C8100
    • D9720
  4. 4.Newton's first law states that an object will remain at rest or move with constant velocity unless acted on by a resultant force.

    Easy

    True or false?

  5. 5.Complete the sentence using the correct word.

    Medium

    Hooke's law states that the extension of an elastic object is directly proportional to the force applied, up to the ____.

  6. 6.Match each term to its correct description.

    Medium
    • Moment
    • Centre of gravity
    • Equilibrium
    • The turning effect of a force
    • The point through which weight acts
    • State where forces and moments are balanced
  7. 7.Arrange the steps to find the centre of gravity of an irregular lamina in the correct order.

    Medium
    • Hang the lamina from a clamp
    • Draw a line along the plumb line
    • Repeat with two other holes
    • Punch three holes near the edges
    • The intersection of lines is the centre of gravity
  8. 8.A spring has a spring constant of 4900 N/m. A weight compresses it from 40 cm to 33 cm. What is the weight?

    Hard
    • A343 N
    • B3430 N
    • C34.3 N
    • D0.343 N

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