Understanding Projectile Motion

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Questions and Answers

When an object experiences motion in both horizontal and vertical directions simultaneously, what type of motion is it exhibiting?

  • Projectile motion (correct)
  • Curvilinear motion
  • Rectilinear motion
  • Uniform motion

Which of the following best describes a projectile in physics?

  • An object that remains stationary.
  • An object that experiences no acceleration.
  • An object propelled into the air upon which the only force acting is gravity (correct)
  • An object moving with constant velocity.

What term describes the curved path followed by a projectile in motion?

  • Amplitude
  • Velocity
  • Trajectory (correct)
  • Displacement

In the context of throwing a basketball, which statement accurately describes its motion?

<p>The ball moves along the horizontal direction while simultaneously influenced by gravity. (C)</p> Signup and view all the answers

Why does water escaping a hose demonstrate projectile motion?

<p>Because the water follows a parabolic path, moving both vertically and horizontally due to gravity and initial velocity. (A)</p> Signup and view all the answers

When an archer releases an arrow, what causes it to exhibit projectile motion?

<p>The arrow moves simultaneously along the x and y-axis under the influence of gravity. (D)</p> Signup and view all the answers

What distinguishes curvilinear motion from other types of motion?

<p>Objects move in a curved path because they receive a sideways push. (B)</p> Signup and view all the answers

Which scenario best exemplifies rectilinear motion?

<p>A stone falling freely from the top of a building. (B)</p> Signup and view all the answers

How is speed defined in relation to an object's motion?

<p>The distance traveled per unit of time without regard to direction. (C)</p> Signup and view all the answers

Which of the following statements accurately defines velocity?

<p>The rate of change of an object's position with respect to a frame of reference and time. (B)</p> Signup and view all the answers

What does initial velocity describe in the context of projectile motion?

<p>How fast an object travels when gravity first applies force on the object. (D)</p> Signup and view all the answers

In physics, what does 'acceleration' specifically refer to?

<p>Any process where velocity changes, including changes in speed or direction. (D)</p> Signup and view all the answers

Under what conditions can an object be described as not accelerating?

<p>When it is moving at a constant speed in a straight line. (B)</p> Signup and view all the answers

What is the key characteristic of projectile motion when considering its two-dimensional nature?

<p>The vertical and horizontal motions are independent of each other and can be treated separately. (B)</p> Signup and view all the answers

Which statement best characterizes projectile motion in terms of vertical and horizontal components?

<p>Projectile motion combines vertical motion with constant acceleration and horizontal motion with constant velocity. (A)</p> Signup and view all the answers

What could be inferred from the picture of the wall, truck, and car?

<p>The truck has more momentum. (D)</p> Signup and view all the answers

What term describes a moving object's tendency to resist changes in its state of motion?

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

Which of the following statements accurately describes momentum?

<p>The quantity of motion that an object possesses. (A)</p> Signup and view all the answers

What two variables primarily determine the amount of momentum an object has?

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

For bodies moving at the same velocity, which statement is true regarding momentum?

<p>The more massive body has greater momentum. (D)</p> Signup and view all the answers

For moving bodies with the same mass, what factor determines which has greater momentum?

<p>The body with the faster speed. (C)</p> Signup and view all the answers

How is momentum calculated in terms of mass and velocity?

<p>Momentum = mass * velocity (A)</p> Signup and view all the answers

A 5 kg bowling ball is traveling at 2 m/s towards the pins. Calculate the momentum of the bowling ball.

<p>10 kg*m/s (D)</p> Signup and view all the answers

A ball with a mass of 0.5 kg is moving northward at a velocity of 10 m/s. What is the momentum of the ball?

<p>5 kg m/s, northward (D)</p> Signup and view all the answers

What does Newton's Second Law of Motion, also known as the Law of Acceleration, fundamentally state?

<p>The force required to change an object's motion is proportional to its mass and acceleration. (B)</p> Signup and view all the answers

Given that Force = Mass * Acceleration, which of the following is the correct formula?

<p>$F = ma$ (A)</p> Signup and view all the answers

If Newton's Second Law of Motion is rearranged to define impulse (J), which expression correctly represents impulse delivered by a constant force F?

<p>$J = F \Delta t = m \Delta v$ (A)</p> Signup and view all the answers

How can impulse be mathematically expressed in relation to momentum?

<p>Impulse is the change in momentum of an object. (D)</p> Signup and view all the answers

The impulse (J) on an object can be described by the equations $J = \Delta p$ or $J = mv$. In what context are these equations valid?

<p>Where 'm' is the mass of the body and 'v' is the velocity in which the body is moving. (B)</p> Signup and view all the answers

Given the equation $v = v_f - v_i$, how is the impulsive force (F) typically expressed?

<p>$F = m(v_f - v_i) / t$ (B)</p> Signup and view all the answers

A 0.1 kg ball's velocity changes from 20 m/s to 30 m/s due to an applied force over 0.5 seconds. Calculate the impulse experienced by the ball.

<p>1 Ns (C)</p> Signup and view all the answers

A baseball with a mass of 0.15 kg is thrown and attains a velocity of 40 m/s. Calculate the momentum of the baseball.

<p>6 kg*m/s (A)</p> Signup and view all the answers

What happens to the vertical and horizontal components of motion in projectile motion?

<p>The vertical motion has constant acceleration, and the horizontal motion has constant velocity. (A)</p> Signup and view all the answers

A car accelerates from rest to 25 m/s in 5 seconds. If the car has a mass of 1200 kg, what is the impulse on the car?

<p>30000 Ns (D)</p> Signup and view all the answers

A 2 kg object is initially moving at 5 m/s. After a force is applied, its velocity increases to 15 m/s. What is the change in momentum of the object?

<p>20 kg m/s (D)</p> Signup and view all the answers

A hockey puck with a mass of 0.2 kg is at rest. After being struck by a hockey stick, it reaches a velocity of 20 m/s. If the impact lasted for 0.01 seconds, what was the magnitude of the average force applied by the stick?

<p>400 N (D)</p> Signup and view all the answers

An object with a mass of 4 kg initially moves at a velocity of 6 m/s. After an impulse is applied, its velocity becomes 10 m/s in the same direction. What impulse was applied to the object?

<p>16 Ns (C)</p> Signup and view all the answers

A toy car with a velocity of 1.4 m/s has a momentum of 7 kg * m/s to the South. Find the mass of the scooter.

<p>5 kg (C)</p> Signup and view all the answers

With an impulse of 6 Ns and the mass equal to 0.03 kg, what is $\Delta v$?

<p>200 m/s (C)</p> Signup and view all the answers

Flashcards

Projectile Motion

The motion of an object in two dimensions.

Projectile

An object that is launched and subject only to the force of gravity.

Trajectory

The curved path followed by a projectile.

Curvilinear motion

Objects move in a curved path due to a sideways push.

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Rectilinear motion

Objects move in straight lines, often due to gravity.

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Speed

The distance traveled per unit of time; how fast an object is moving.

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Velocity

The rate of change of an object's position with respect to a frame of reference and time.

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Initial velocity

How fast an object travels when gravity first applies force.

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Final Velocity

The speed and direction of a moving body after it reaches maximum acceleration.

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Acceleration

Any process where the velocity changes.

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Momentum

A moving object's tendency to resist any change in its state of motion; inertia in motion.

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Momentum Equation

Expressed as p = mv, where p is momentum, m is mass, and v is velocity.

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Newton's Second Law

How force changes an object's motion; equal to mass times acceleration.

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Impulse

A change in momentum, delivered by a constant force.

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Impulse Equation

Expressed as J = Δp or J = m•v, where J is the impulse, m is mass, and v is velocity.

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Study Notes

  • Projectile motion is the motion of an object in two dimensions.
  • An object exhibits projectile motion by moving in both the horizontal and vertical directions simultaneously.

Projectile and Trajectory

  • A projectile is an object being launched where gravity is the only acting force.
  • A trajectory is the curved path followed by a projectile.

Projectile Motion in Real Life

  • Throwing a basketball in the basket involves the ball moving along the horizontal direction while rising in height at the same time.
  • Water escaping a hose follows a parabolic path because it moves in a vertical and horizontal direction simultaneously.
  • In archery, when an archer pulls an arrow and releases it in the air at a particular angle, the arrow moves along the x and y-axis simultaneously.

Two Types of Projectile Motion

  • Curvilinear motion involves objects moving in a curved path due to a sideways push.
  • Examples of objects with curvilinear motion include a cyclist moving around a circular bend or an airplane doing a "loop the loop" flight exercise.
  • Rectilinear motion involves objects moving in straight lines.
  • This type of motion occurs when objects move freely, like a stone falling from a building.

Speed

  • Speed is the distance traveled per unit of time.
  • Speed is the scalar quantity that is the magnitude of the velocity vector.
  • Speed does not have a direction.
  • Higher speed means an object is moving faster.

Velocity

  • Velocity can be defined as the rate of change of the object's position with respect to a frame of reference and time.
  • Initial velocity describes how fast an object travels when gravity first applies force on the object.
  • Final velocity is a vector quantity that measures the speed and direction of a moving body after it has reached its maximum acceleration.

Acceleration

  • Acceleration refers to any process where the velocity changes.
  • Velocity is speed and direction.
  • There are two ways to accelerate: change speed or change direction, or both.
  • If a subject is not changing its speed or direction, they are not accelerating.

Two-Dimensional Motion

  • In projectile motion, the vertical and horizontal motions are independent and can be treated separately.
  • Projectile motion is a combination of vertical motion with constant acceleration and horizontal motion with constant velocity.

Momentum

  • Momentum is a moving object's tendency to resist any change in its state of motion.
  • It refers to the quantity of motion that an object has.
  • Momentum can be defined as “inertia in motion”.
  • The amount of momentum is dependent on two variables: how much an object is moving and how fast it is moving.
  • For bodies moving at the same velocity, the more massive body has greater inertia in motion, therefore it has greater momentum.
  • For moving bodies with the same mass, the faster body has greater inertia in motion, therefore has greater momentum.
  • Momentum(p) = mass(m) * velocity(v)

Impulse

  • Newton's Second Law of Motion (Law of Acceleration) states that the force required to change an object's motion is equal to the mass of the object multiplied by the acceleration of an object, where Force = Mass * Acceleration or F = ma
  • Impulse can be expressed as the change in momentum of an object J = ∆p or J = m•v where m is the mass of the body and v is the velocity in which the body is moving
  • Velocity is given as v = Vf- Vì where vi is the initial velocity and vf is the final velocity, where the impulsive force is given as F = ma or F = m (Vf-Vi)/ t

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