Physics: Vectors, Scalars, and Forces
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Questions and Answers

What is the formula to calculate weight?

  • W = M x g (correct)
  • W = M / g
  • W = M - g
  • W = M + g
  • Mass changes based on the gravitational pull of a planet.

    False (B)

    What happens to an object if the resultant force and the motion are in the opposite direction?

    The object will decelerate.

    The resultant force acting on the object is calculated by adding forces that act in the same direction and __________ forces that act in opposite directions.

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

    Match the following terms with their definitions:

    <p>Weight = The force due to gravity acting on an object Mass = The amount of matter in an object Resultant Force = The overall force acting on an object when all forces are considered Velocity = Speed with a direction</p> Signup and view all the answers

    If a BMX cyclist completes 1 km in 50 seconds, what is her speed?

    <p>25 m/s (A)</p> Signup and view all the answers

    The moon orbits the Earth at a constant speed and constant velocity.

    <p>False (B)</p> Signup and view all the answers

    What is the resultant force when a 500N force is acting in the opposite direction to a 200N force?

    <p>300N</p> Signup and view all the answers

    Which piece of equipment is essential for measuring the length of the spring during the experiment?

    <p>Ruler (C)</p> Signup and view all the answers

    The extension of a spring is defined as the original length of the spring minus the stretched length.

    <p>False (B)</p> Signup and view all the answers

    What should be worn for safety during the experiment to protect against springs 'pinging' off?

    <p>Safety goggles</p> Signup and view all the answers

    A mass of 100g corresponds to a weight of __N.

    <p>1</p> Signup and view all the answers

    Match the following springs with their properties:

    <p>Spring A = Requires 4N to stretch 2cm Spring B = Requires 2N to stretch 2cm Limit of proportionality = Point where spring won't return to original shape Clamp stand = Stabilizes the experiment setup</p> Signup and view all the answers

    What graph relationship indicates that the spring is behaving normally, according to the experiment?

    <p>Straight line through the origin (B)</p> Signup and view all the answers

    What is the significance of wearing eye protection during the spring experiment?

    <p>To prevent eye injuries from springs 'pinging' off.</p> Signup and view all the answers

    The extension of a spring is directly proportional to the applied force until the limit of proportionality, which is quantified in units of __.

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

    What is the primary difference between speed and velocity?

    <p>Speed describes distance, while velocity describes displacement. (D)</p> Signup and view all the answers

    Velocity can be negative depending on the direction of the movement.

    <p>True (A)</p> Signup and view all the answers

    What is the formula to calculate average speed?

    <p>Average Speed = Distance / Time</p> Signup and view all the answers

    The centre of mass of an object is the point where the weight of the object can be considered to act at a single ______.

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

    Match the type of graph with its corresponding description:

    <p>Stationary = The object is not moving. Constant Velocity = The object's speed remains the same over time. Accelerating = The object is increasing its speed. Decelerating = The object is decreasing its speed.</p> Signup and view all the answers

    If a train moves to the left at -25 m/s, what does this indicate about its velocity?

    <p>The train's velocity is expressed as a negative value. (B)</p> Signup and view all the answers

    The gradient of a distance-time graph represents the average speed of an object.

    <p>True (A)</p> Signup and view all the answers

    Calculate the average speed if a person travels 150 meters in 30 seconds.

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

    What does the spring constant 'k' represent?

    <p>The number of Newtons required to stretch the spring by 1 meter (B)</p> Signup and view all the answers

    A force can only change the speed of an object.

    <p>False (B)</p> Signup and view all the answers

    If a spring is stretched from 0.36m to 0.42m by a force of 2N, what is the extension of the spring?

    <p>0.04m</p> Signup and view all the answers

    The formula linking the force (F), spring constant (k), and extension (e) is ___.

    <p>F = k x e</p> Signup and view all the answers

    Match each scenario with its possible outcome:

    <p>A force acts on an object = Change in speed Compression occurs = Change in shape A force changes direction = Change in direction A force is applied to a spring = Extension of the spring</p> Signup and view all the answers

    Which of the following describes the limit of proportionality?

    <p>The maximum force that can be applied without permanent deformation of the spring (A)</p> Signup and view all the answers

    Compression can also produce an extension in materials.

    <p>True (A)</p> Signup and view all the answers

    Calculate the spring constant k if a force of 5N produces an extension of 0.1m.

    <p>50 N/m</p> Signup and view all the answers

    What is the equation used to calculate acceleration?

    <p>a = (v_f - v_i) / t (D)</p> Signup and view all the answers

    A velocity-time graph can be used to calculate the distance travelled by an object.

    <p>True (A)</p> Signup and view all the answers

    What is the acceleration of the motorbike during the first 10 seconds?

    <p>1.5 m/s^2</p> Signup and view all the answers

    The distance travelled by an object moving at a constant velocity is calculated using the equation distance = ____ x time.

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

    During which time period does the motorbike travel at its highest velocity?

    <p>40-60s (B)</p> Signup and view all the answers

    The gradient of a velocity-time graph represents distance travelled.

    <p>False (B)</p> Signup and view all the answers

    How long does the motorbike travel at a constant velocity?

    <p>30 seconds</p> Signup and view all the answers

    What happens to the acceleration of the car as time progresses?

    <p>It decreases. (D)</p> Signup and view all the answers

    The net forward force on the car increases as its speed increases.

    <p>False (B)</p> Signup and view all the answers

    What is the formula for calculating the moment?

    <p>M = F x d</p> Signup and view all the answers

    The mass of the car is __________ kg.

    <p>950</p> Signup and view all the answers

    Match the following forces with their corresponding moments:

    <p>10N, 0.15m = 1.5Nm 50N, 0.5m = 25Nm 100N, 0.8m = 80Nm 80N, 1m = 80Nm 125N, 1.2m = 150Nm</p> Signup and view all the answers

    How can a moment be increased without moving the applied load?

    <p>Increase the applied force. (B)</p> Signup and view all the answers

    What force is required to turn a rusted bolt requiring a turning effect of 120 Nm from a distance of 0.4m?

    <p>300N</p> Signup and view all the answers

    If something is balanced, the sum of the clockwise moments is equal to the sum of the __________ moments.

    <p>anti-clockwise</p> Signup and view all the answers

    Flashcards

    Resultant Force

    The overall force acting on an object when all forces are considered.

    Calculating Resultant Forces (same direction)

    Add the forces together to find the overall force.

    Calculating Resultant Forces (opposite direction)

    Subtract the forces to find the overall force (direction matters).

    Balanced Forces

    Forces acting on an object that are equal in size and opposite in direction, resulting in zero net force.

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    Weight

    The force due to gravity acting on an object's mass.

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    Mass

    The amount of matter in an object.

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    Acceleration

    Change in velocity over time. Resultant force causes acceleration.

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    Velocity

    Speed in a specific direction

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    Spring Constant

    A value representing how easily a spring stretches. It's the force needed to stretch the spring by 1 unit of length (e.g., 1 meter).

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    Hooke's Law

    The relationship between force, spring constant, and extension: Force = spring constant x extension (F = k x e).

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    Extension

    The change in length of an object when a force is applied (stretching or compressing).

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    Calculating Spring Constant

    Spring constant (k) = Force (F) / extension (e).

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    Force

    A push or a pull that can change an object's speed, direction, or shape.

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    Limit of Proportionality

    The point on a force-extension graph where the relationship between force and extension is no longer linear (Hooke's Law stops applying).

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    Scale Diagram

    A diagram used to represent forces by drawing vectors. A scale is used to represent the amount of each force graphically.

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    Spring Constant (K)

    A measure of how stiff a spring is. It's the force needed to stretch the spring by one unit of length. A higher spring constant means a stiffer spring.

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    Limit of Proportionality (P)

    The point on a force-extension graph where the relationship between force and extension stops being directly proportional. Beyond this point, the spring will not return to its original length after the force is removed.

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    Direct Proportionality

    When two quantities increase or decrease at the same rate, meaning their ratio remains constant. On a graph, this shows as a straight line passing through the origin.

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    Force Extension Graph

    A graph that shows the relationship between the force applied to a spring and the amount it stretches or compresses. The shape of the graph can reveal important properties of the spring.

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    Spring Extension

    The increase in length of a spring when a force is applied to it. It's the difference between the spring's stretched length and its original length.

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    How to measure spring extension

    To measure the extension of a spring, you need to measure its initial length (no force applied) and its final length (with force applied). The extension is then calculated as the final length minus the initial length.

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    What is the purpose of using a pointer?

    Using a pointer provides a more precise way to measure the length of the spring. This helps to reduce errors and improve the accuracy of the experiment.

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    Why is it important to wear eye protection?

    Wearing eye protection is crucial to prevent injuries from the spring. The spring can potentially snap and launch a small metal piece towards your eyes.

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    Centre of Mass

    The point where the weight of an object can be considered to act at a single point. For symmetrical objects, it's the centre.

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    Speed vs. Velocity

    Speed is how fast something is moving, without direction. Velocity is speed in a specific direction.

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    Relative Velocity

    The velocity of an object compared to another object.

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    Average Speed

    The total distance traveled divided by the total time taken.

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    Distance-Time Graph

    A graph that shows how far an object has travelled over time.

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    Gradient of a Distance-Time Graph

    Represents the velocity (speed) of the object. A steeper gradient means a faster speed.

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    Calculating Acceleration

    Acceleration is calculated by dividing the change in velocity by the time taken. Formula: Acceleration = (Final Velocity - Initial Velocity) / Time

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    Moment

    A turning effect caused by a force acting on an object at a distance from a pivot point.

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    Moment Equation

    Moment (M) is calculated by multiplying the force (F) by the perpendicular distance (d) from the pivot point.

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    What affects a moment?

    A moment can be increased by either increasing the force applied or increasing the perpendicular distance from the pivot.

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    Balanced Moments

    When an object is balanced, the clockwise moments are equal to the anticlockwise moments.

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    Lever

    A simple machine that makes work easier by using a rigid bar that pivots at a fixed point (the fulcrum).

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    Increasing Turning Effect

    To increase the turning effect without increasing the force, move the force further from the pivot point (increase the perpendicular distance).

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    Calculating Moment

    Moment (Nm) is calculated by multiplying the applied force (N) by the distance (m) from the pivot.

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    Increased Moment without Changing Load

    You can increase a moment without changing the load's position by simply increasing the force applied.

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    Stationary Object on Velocity-Time Graph

    An object at rest has a velocity-time graph that is a horizontal line along the x-axis, indicating zero velocity.

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    Constant Velocity on Velocity-Time Graph

    An object moving at a constant velocity has a velocity-time graph that is a straight, horizontal line above the x-axis, indicating consistent speed in one direction.

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    Calculating Distance from Velocity-Time Graph

    The area under a velocity-time graph represents the distance traveled. For constant velocity, this is a rectangle; for acceleration, it's a triangle.

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    Constant Acceleration on Velocity-Time Graph

    An object accelerating at a constant rate has a velocity-time graph that is a straight, diagonal line, the slope of which represents the acceleration.

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    Constant Deceleration on Velocity-Time Graph

    An object slowing down at a constant rate has a velocity-time graph that is a straight, diagonal line sloping downwards, indicating decreasing velocity.

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

    The gradient (slope) of a velocity-time graph represents the acceleration of the object. A steeper gradient indicates a greater acceleration (faster change in velocity over time).

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    Terminal Velocity

    The constant maximum speed reached by a falling object when the force of air resistance equals the force of gravity, resulting in a zero net force and no further acceleration.

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    Combined d-t and v-t Graphs

    A combined distance-time and velocity-time graph displays both the distance traveled and the velocity of an object over time, providing a comprehensive view of its motion.

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    Study Notes

    Vector and Scalar Quantities

    • Some measurements have both direction and magnitude (vector).
    • Some measurements have only magnitude (scalar).
    • Temperature (21℃) is a scalar quantity.
    • Force is a vector quantity.
    • Time is a scalar quantity.
    • Pressure is a vector quantity.
    • Light is a scalar quantity.

    Distance and Displacement

    • Distance is the total length of the path travelled.
    • Displacement is the shortest distance between the starting and ending points, including direction.
    • Distance is a scalar quantity.
    • Displacement is a vector quantity.

    Forces

    • Force is a push or pull that acts on an object.
    • Force is measured in Newtons.
    • Contact forces require physical touch (e.g., friction, air resistance, thrust, normal contact force, tension, compression lift).
    • Non-contact forces act at a distance (e.g., gravity, magnetic, electrostatic, strong nuclear, weak nuclear).
    • Resultant force is the overall force when all forces acting on an object are considered.

    Resolution of Forces

    • Calculating horizontal and vertical components of a force at an angle (use trigonometry).
    • Use scale diagrams.
    • Calculate the resultant force, given two forces at an angle (using parallelograms).

    Force and Extension

    • Force applied to a spring causes extension.
    • Extension is directly proportional to the applied force up to the limit of proportionality.
    • Spring constant (k) relates force and extension (F = k x e).
    • Use the gradient of a force–extension graph to determine the spring constant.
    • Identify the limit of proportionality.
    • The spring constant is the gradient of the graph.

    Acceleration

    • Acceleration is the rate of change of velocity.
    • Acceleration (m/s²) = change in velocity (m/s) / change in time (s).
    • Calculate final velocity given initial velocity, acceleration, time.

    Speed and Velocity

    • Speed is the rate of change of distance (scalar).
    • Velocity is the rate of change of displacement (vector).
    • Average speed = total distance / total time.
    • Average velocity = total displacement / total time.
    • Calculate average speed and velocity in specific scenarios.

    Distance-Time Graphs

    • The gradient of a distance-time graph gives the speed.
    • A horizontal line represents constant speed.
    • Identify the characteristics of a distance-time graph.

    Velocity-Time Graphs

    • The gradient of a velocity-time graph gives the acceleration.
    • An area under a velocity-time graph is the distance travelled.
    • Identify the characteristics of a velocity-time graph

    Atomic Structure Timeline

    • Democritus (450 BC) first suggested the existence of atoms.
    • Dalton (1803) proposed a model of atoms as solid spheres.
    • JJ Thompson (1897) suggested the plum pudding model.
    • Rutherford (1909) proposed the nuclear model based on the alpha-scattering experiment.
    • Bohr (1913) refined the nuclear model adding electron shells.
    • Chadwick (1932) discovered the neutron.

    Moments

    • A moment is a turning effect of a force.
    • Moment = force × perpendicular distance from pivot.
    • Calculate moments and use moments to determine the resultant moment and the state of equilibrium.
    • Centre of gravity (COG) is the point where the whole weight of an object can be considered to act.
    • Use the principle of moments to calculate the unknown weights or distances or forces involved.

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    Forces and Motion Notes (APF)

    Description

    This quiz explores the concepts of vector and scalar quantities in physics, along with an examination of distance versus displacement. Additionally, it covers the fundamental aspects of forces, including contact and non-contact forces. Test your understanding of these crucial concepts in physics!

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