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Questions and Answers

What are the Kinematics Equations used for?

  • Determining momentum
  • Finding energy
  • Calculating forces
  • Describing motion of objects (correct)

What are the units of the force of gravity between two objects?

N*m²/kg²

What is the definition of kinetic friction?

Not provided

What is static friction?

<p>Not provided</p> Signup and view all the answers

Describe the velocity characteristics in uniform circular motion.

<p>Velocity vector is constantly changing and is tangential to the circle of motion.</p> Signup and view all the answers

Describe the characteristics of centripetal acceleration.

<p>The acceleration vector always points toward the center of the circle and constantly changes direction as the object moves.</p> Signup and view all the answers

What is the concept of centripetal force?

<p>Not provided</p> Signup and view all the answers

What is the formula for torque?

<p>θ = angle between F and the lever arm.</p> Signup and view all the answers

What is the SI unit for kinetic energy?

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

What is the definition of work?

<p>θ = angle between F and the displacement vector.</p> Signup and view all the answers

What is gravitational potential energy?

<p>Not provided</p> Signup and view all the answers

What does the conservation of energy state?

<p>Not provided</p> Signup and view all the answers

What is the SI unit for power?

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

How is momentum measured?

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

What does the conservation of momentum refer to?

<p>For elastic and inelastic collisions.</p> Signup and view all the answers

What defines a completely inelastic collision?

<p>Not provided</p> Signup and view all the answers

What is Hooke's law?

<p>F = restoring force, k = spring constant, x = displacement from natural length.</p> Signup and view all the answers

What is the relationship between angular frequency and mass and spring?

<p>ω only depends on k and m, not x!</p> Signup and view all the answers

What is the potential energy of a spring?

<p>Where x is displacement from equilibrium.</p> Signup and view all the answers

What is the formula for restoring force in a pendulum?

<p>F = restoring force, m = mass, g = acceleration due to gravity, θ = angle.</p> Signup and view all the answers

What units are used for density?

<p>kg/m³</p> Signup and view all the answers

What does specific gravity indicate?

<p>If &gt;1 will sink.</p> Signup and view all the answers

Flashcards

Kinematics Equations

Equations that describe the relationship between displacement, velocity, acceleration, and time.

Force of Gravity

A force that pulls objects towards each other. Its magnitude depends on the masses of the objects and the distance between them.

Kinetic Friction

A force that resists motion when two surfaces rub against each other.

Static Friction

A force that prevents surfaces from starting to move against each other.

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Velocity in Uniform Circular Motion

The velocity of an object moving in a circular path is always tangent to the circle at any point.

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Centripetal Force

A force that acts towards the center of a circular path, causing an object to move in a circle.

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Centripetal Acceleration

The rate of change of velocity of an object moving in a circular path. It's always directed towards the center of the circle.

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Torque

A rotational force that causes an object to rotate about an axis.

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Work-Energy Theorem

The work done on an object is equal to the change in its kinetic energy.

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Kinetic Energy

The energy an object possesses due to its motion.

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Work

The work done when a force causes displacement.

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Gravitational Potential Energy

The energy an object possesses due to its position in a gravitational field.

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Conservation of Energy

Energy cannot be created or destroyed, only transformed from one form to another.

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Power

The rate at which work is done or energy is transferred.

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Momentum

A measure of an object's inertia, which is its resistance to changes in motion.

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Conservation of Momentum

The total momentum of a system before a collision is equal to the total momentum after the collision.

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Completely Inelastic Collision

A collision where the colliding objects stick together after the collision, resulting in maximum kinetic energy loss.

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Hooke's Law

A law that describes the elastic behaviour of springs, stating that the force exerted by a spring is proportional to its displacement from its equilibrium position.

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Simple Harmonic Motion

A type of periodic motion where the restoring force is proportional to the displacement from the equilibrium position.

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Period in SHM

The time it takes for one complete cycle of simple harmonic motion.

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Frequency in SHM

The number of cycles per second in simple harmonic motion.

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Density

The ratio of an object's mass to its volume.

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Specific Gravity

The ratio of the density of a substance to the density of water.

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Study Notes

Kinematics Equations

  • Fundamental equations that describe motion, relating displacement, velocity, acceleration, and time.

Force of Gravity Between Two Objects

  • Gravitational force formula: F = G * (m₁ * m₂) / r².
  • Universal gravitational constant, G = 6.674 × 10⁻¹¹ N·m²/kg².

Kinetic Friction

  • The force opposing the motion of two surfaces sliding past each other.
  • Depends on the normal force and the coefficients of friction.

Static Friction

  • The force preventing two surfaces from sliding past each other.
  • Generally greater than kinetic friction, enabling objects to resist initial motion.

Uniform Circular Motion - Velocity

  • Velocity is tangential to the circular path.
  • Continuously changing direction while maintaining constant speed.

Centripetal Acceleration

  • Directed towards the circle's center, ensuring circular motion.
  • Given by the formula a_c = v²/r, where v is the velocity and r is the radius.

Centripetal Force

  • Net force acting towards the center of the circular path required for uniform circular motion.
  • Formula: F_c = m * a_c, where m is mass and a_c is centripetal acceleration.

Torque

  • Rotational force that causes an object to rotate about an axis.
  • Calculated as τ = r * F * sin(θ), where r is the distance from the pivot, F is the force, and θ is the angle between the force and lever arm.

Work-Energy Theorem

  • Work done on an object is equal to the change in its kinetic energy.
  • Work is calculated as W = F * d * cos(θ), where d is displacement.

Kinetic Energy

  • Energy possessed by a moving object, quantified as KE = ½ mv².
  • SI unit: Joule (J), where 1 J = 1 kg·m²/s².

Work

  • Work is done when a force causes displacement.
  • Maximum work occurs when the force is aligned or opposed to the direction of displacement.

Gravitational Potential Energy

  • Energy stored due to an object's position in a gravitational field.
  • Given by the formula PE = m * g * h, where h is the height above a reference point.

Conservation of Energy

  • Energy cannot be created or destroyed, only transformed.
  • Total energy in an isolated system remains constant.

Power

  • Rate at which work is done or energy is transferred.
  • SI unit: Watt (W), where 1 W = 1 J/s.

Momentum

  • Quantity of motion an object possesses, calculated as p = m * v.
  • Measured in kg·m/s.

Conservation of Momentum

  • Total momentum before a collision equals total momentum after, applicable in elastic and inelastic collisions.

Completely Inelastic Collision

  • Collisions where objects stick together post-collision, resulting in maximum kinetic energy loss.

Hooke's Law

  • Describes elastic behavior of springs: F = -k * x, where k is spring constant and x is displacement.
  • Restoring force acts in the opposite direction of displacement.

Simple Harmonic Motion - Period/Frequency

  • Period (T) defines the time for one complete cycle, frequency (f) is the number of cycles per second.

Simple Harmonic Motion - Angular Frequency - Mass and Spring

  • Angular frequency (ω) is defined by ω = √(k/m), independent of amplitude (x).

Simple Harmonic Motion - Elastic Potential Energy of a Spring

  • Potential energy stored in a spring: PE_s = ½ k * x².
  • Energy converts to kinetic energy upon release.

Simple Harmonic Motion - Angular Frequency - Pendulum

  • Pendulum's angular frequency: ω = √(g/L), where g is acceleration due to gravity and L is the length of the pendulum.

Simple Harmonic Motion - Restoring Force - Pendulum

  • Restoring force acts tangential to the pendulum's arc, proportional to the mass and sine of the angle of displacement.

Density

  • Mass density is defined as mass per unit volume.
  • Units expressed as kg/m³.

Specific Gravity

  • Ratio of a substance's density to the density of water.
  • Determines whether an object sinks or floats; if specific gravity > 1, it will sink.

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