Motion (Edexcel A Level Physics): Flashcards

Exam code: 9PH0

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  • What are the four SUVAT equations?

Cards in this collection (55)

  • What are the four SUVAT equations?

    The four SUVAT equations are:

    • v equals u plus a t

    • v squared equals u squared plus 2 a s

    • s equals u t plus 1 half a t squared

    • s equals fraction numerator open parentheses u plus v close parentheses over denominator 2 end fraction t

    The letters stand for displacement (s), initial velocity (u), final velocity (v), acceleration (a) and time (t)

  • State the quantity and SI unit represented by each SUVAT symbol: s, u, v, a, t

    • s = displacement (m)

    • u = initial velocity (m s-1)

    • v = final velocity (m s-1)

    • a = acceleration (m s-2)

    • t = time interval (s)

  • The SUVAT equations can be used only when acceleration is ..........

    The SUVAT equations can be used only when acceleration is constant (and not zero)

  • Which SUVAT equation does not contain time t?

    v^2 = u^2 + 2as

  • What is the acceleration of an object in freefall when air resistance is negligible?

    9.81 m s-2, directed vertically downwards

  • True or False?

    An object thrown straight upwards has zero acceleration at the highest point of its path

    False.

    At the highest point the velocity is momentarily zero, but the acceleration is still 9.81 m s-2 downwards

  • What sign does acceleration take for an object that is slowing down?

    Negative

    A decelerating object has a negative acceleration, which must be included in SUVAT calculations

  • On a displacement–time graph, what does the slope represent?

    The velocity

    A straight slope is constant velocity; a curved slope is acceleration

  • On a velocity–time graph, what does the slope represent?

    The acceleration

  • On a velocity–time graph, what does the area under the line represent?

    The displacement (distance travelled)

  • On an acceleration–time graph, what does the area under the line represent?

    The change in velocity

  • On a displacement–time graph, a curved slope represents an ..........

    On a displacement–time graph, a curved slope represents an acceleration

  • True or False?

    The area under a displacement–time graph gives the distance travelled

    False.

    The area under a displacement–time graph is meaningless

    It is the slope of a displacement–time graph that gives velocity

  • When choosing a scale for a graph axis, which multiples should be avoided?

    Multiples of 3

    Use increments in multiples of 2, 5 or 10 so plotting is accurate and the line fills the axes

  • Define non-uniform acceleration on a velocity–time graph

    Acceleration that changes over time

    It is shown by a curved line on a velocity–time graph (uniform acceleration is a straight line)

  • Define instantaneous velocity

    The velocity at a single point in time

    It is found by drawing a tangent to a curved line and calculating the slope of that tangent

  • How do you find the slope of a curved line at a given point?

    Draw a tangent to the curve at that point, then find the slope of the tangent

    Make the tangent as long as will fit on the graph

  • Describe how to find the area under a curved line on a motion graph

    • Divide the shape into rectangles and triangles

    • Calculate the area of each

    • Count any remaining whole squares

    • Add the totals together

  • To find a slope accurately, choose two points that are as .......... as possible on the line

    To find a slope accurately, choose two points that are as far apart as possible on the line

  • What is the formula for the area of a triangle?

    \text{area} = \frac{1}{2} \times \text{base} \times \text{height}

  • True or False?

    Non-uniform acceleration produces a straight-line velocity–time graph

    False.

    Non-uniform acceleration produces a curved velocity–time graph

    A straight line represents uniform (constant) acceleration

  • Why does a skydiver's acceleration decrease as they fall towards terminal velocity?

    As speed increases, air resistance increases

    This reduces the resultant force against the motion, so acceleration falls

    When weight and air resistance balance, acceleration becomes zero

  • Define scalar

    A quantity that has magnitude but no direction

    For example, mass

  • Define vector

    A quantity that has both magnitude and direction

    For example, weight

  • .......... is the length and direction of a straight line from the starting point to the finishing point

    Displacement is the length and direction of a straight line from the starting point to the finishing point

  • Give two examples each of scalar and vector quantities

    Scalars: distance, speed, mass, time, energy (also volume, density, pressure, charge, temperature)

    Vectors: displacement, velocity, acceleration, force, momentum

  • True or False?

    An object moving at constant speed must also have constant velocity

    False.

    An object can have constant speed but changing velocity if it is changing direction

    Velocity is a vector, so a change in direction changes the velocity

  • Is acceleration a scalar or a vector quantity?

    A vector

    It has both magnitude and direction

  • What is the difference between distance and displacement?

    Distance is the total path length travelled — a scalar

    Displacement is the straight-line length and direction from start to finish — a vector

  • How are vector quantities distinguished from scalars in notation?

    By writing them in bold italic (for example, F or s), or with an arrow above the symbol

    The arrow shows only that the quantity has a direction, not the actual direction

  • Define the components of a vector.

    The two vectors into which a single resultant vector is resolved, which in combination have the same effect as the original vector

  • A vector of magnitude F acts at angle θ to the horizontal. Write expressions for its horizontal and vertical components.

    Horizontal: F_x = F\cos\theta

    Vertical: F_y = F\sin\theta

  • The length of a vector arrow represents its .........., while the arrowhead shows its ..........

    The length of a vector arrow represents its magnitude, while the arrowhead shows its direction

  • True or False?

    A sketch used to resolve vectors by calculation must be drawn exactly to scale.

    False.

    Only the scale drawing method needs accurate lengths and angles. When resolving by calculation a rough labelled sketch is enough, since trigonometry gives the values

  • Name the two methods used to resolve a vector into its components.

    • Scale drawing — carefully producing a drawing with correct lengths and angles using a pencil, ruler and protractor

    • Calculation — using trigonometry (soh-cah-toa) on a labelled sketch

  • When resolving a vector, which component is found using cos *θ*?

    The component adjacent to the angle — the one the resultant is closing down onto — is found using \cos\theta

    The component opposite the angle uses \sin\theta

  • Define the resultant vector.

    The single vector (also called the 'net' vector) that has the same effect as two or more vectors combined by adding or subtracting them

  • How do you combine two vectors using the triangle method?

    • Link the vectors head-to-tail

    • The resultant is formed by connecting the tail of the first vector to the head of the second vector

  • How do you combine two vectors using the parallelogram method?

    • Link the vectors tail-to-tail

    • Complete the parallelogram

    • The resultant is the diagonal of the parallelogram

  • For two perpendicular vectors, the magnitude of the resultant is found using .........., and its direction is found using ..........

    For two perpendicular vectors, the magnitude of the resultant is found using Pythagoras' theorem, and its direction is found using trigonometry

  • True or False?

    Vectors that are not perpendicular should be added by calculation.

    False.

    Adding by calculation (Pythagoras and trigonometry) applies when the vectors are perpendicular. When they are not perpendicular, a scale drawing is used instead

  • A swimmer heads due north at 2 m s-1 across a current flowing east at 5 m s-1. Calculate the magnitude of the resultant velocity.

    R = \sqrt{2^2 + 5^2} = \sqrt{29} \approx 5.4 \text{ m s}^{-1}

    Direction: \theta = \tan^{-1}\left(\frac{2}{5}\right) \approx 22^\circ to the horizontal

  • Define the time of flight of a projectile.

    How long the projectile is in the air

  • Define the maximum height of a projectile.

    The height at which the projectile is momentarily at rest — its vertical velocity is zero

  • The .......... of a projectile is the horizontal distance it travels.

    The range of a projectile is the horizontal distance it travels

  • Once a projectile has been released, the only force acting on it is ..........

    Once a projectile has been released, the only force acting on it is gravity

  • State the two considerations used to solve two-dimensional projectile motion problems.

    • Constant velocity in the horizontal direction

    • Constant acceleration (due to gravity) in the perpendicular vertical direction

  • True or False?

    A projectile's horizontal velocity changes during flight.

    False.

    Ignoring air resistance, the horizontal velocity is constant — gravity acts vertically, so only the vertical component of velocity changes during flight

  • Name the three scenarios of projectile motion.

    • Vertical projection

    • Horizontal projection

    • Projection at an angle

  • Define a free-body diagram.

    A diagram that models the forces acting on an object, with each force drawn as a labelled vector arrow and the body shown free from contact with any other object

  • In a free-body diagram, state the three features of each force arrow.

    • Scaled to the magnitude of the force it represents

    • Points in the direction the force acts

    • Labelled with the name of the force or an appropriate symbol

  • Three forces acting on an object in equilibrium form a closed ..........

    Three forces acting on an object in equilibrium form a closed vector triangle

  • Define an extended rigid body.

    An object in which all parts stay in the same position relative to each other when the object moves

  • State the three forces acting on a box sliding down a slope, and the direction of each.

    • Normal contact force, R — acts perpendicular to the slope

    • Friction, F — acts parallel to the slope, opposite to the direction of motion

    • Weight, W — acts vertically down towards the Earth

  • True or False?

    A free-body diagram includes the forces the object exerts on others.

    False.

    A free-body diagram shows only the forces acting on the chosen object, drawn free from contact with other objects — not the forces it exerts on them

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