Forces: Contact, Tension, and Gravity
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Questions and Answers

Which of the following best describes the fundamental nature of a force?

  • A singular action exerted by one object.
  • An interaction between two objects or an object and its environment. (correct)
  • A property inherent to individual objects.
  • Energy transferred from one object to another.

A book rests on a table. Which type of force is primarily responsible for preventing the book from falling through the table?

  • Tension force.
  • Normal force. (correct)
  • Gravitational force.
  • Friction force.

In which direction does the friction force act on an object sliding across a surface?

  • Parallel to the surface, opposing the motion. (correct)
  • Perpendicular to the surface, opposing the normal force.
  • Parallel to the surface, aiding the motion.
  • At an angle to the surface, depending on the object's weight.

A person is pulling a box across the floor with a rope. What type of force is exerted by the rope on the box?

<p>Tension force. (C)</p> Signup and view all the answers

Which of the following is an example of a long-range force?

<p>The force between two magnets. (A)</p> Signup and view all the answers

What is the name given to the gravitational force exerted by the Earth on an object?

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

What information is needed to fully describe a force vector?

<p>Both magnitude and direction. (D)</p> Signup and view all the answers

What is the SI unit of the magnitude of force?

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

A spring balance is calibrated using several identical objects, each weighing 1 N. If the pointer on the balance indicates 3 N, what does this signify?

<p>The spring is stretched by a force of 3 N. (D)</p> Signup and view all the answers

When multiple forces act on an object at the same point, the principle of superposition of forces allows us to determine:

<p>The single net force that is equivalent to all the individual forces combined. (B)</p> Signup and view all the answers

Why is it often convenient to use components when dealing with forces?

<p>Components allow the use of scalar addition, making it easier to calculate the net force. (B)</p> Signup and view all the answers

In a force diagram, what does a wiggly line through a force vector indicate?

<p>The force has been replaced by its components in the diagram. (D)</p> Signup and view all the answers

Given forces $\vec{F_1}$ and $\vec{F_2}$ acting on an object, what mathematical operation is used to find the net force?

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

If the net force acting on an object is zero, what can be said about the object's motion?

<p>The object is either stationary or moving with constant velocity. (D)</p> Signup and view all the answers

Three forces act on an object. $\vec{F_1}$ has components (3 N, 0 N), $\vec{F_2}$ has components (0 N, -4 N), and $\vec{F_3}$ has components (-3 N, 4 N). What are the components of the net force?

<p>(0 N, 0 N) (A)</p> Signup and view all the answers

If $\Sigma F_x$ = -5 N and $\Sigma F_y$ = 12 N, what is the magnitude of the net force?

<p>13 N (B)</p> Signup and view all the answers

A crate is pulled up a ramp. If the x-axis is chosen to be parallel to the ramp, what does a positive $F_x$ component of the pulling force indicate?

<p>The force has a component that helps move the crate up the ramp. (B)</p> Signup and view all the answers

Using a spring balance, you measure the force required to pull a box across a table. Which property of the force is indicated by the length of the vector drawn to represent the force?

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

Two forces act on a box: 25 N to the right and 15 N to the left. Assuming the positive direction is to the right, what is the x-component of the net force?

<p>10 N (A)</p> Signup and view all the answers

A force $\vec{F}$ has components $F_x = -8$ N and $F_y = 6$ N. In which quadrant does this force vector lie?

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

A block is resting on an inclined plane. If you choose the x-axis to be parallel to the inclined plane, which component of the gravitational force is responsible for the block's tendency to slide down the plane?

<p>The component along the x-axis. (C)</p> Signup and view all the answers

An object has two forces acting on it: $\vec{F_1} = 20N$ at $0^\circ$ and $\vec{F_2} = 15N$ at $90^\circ$. What is the approximate angle of the net force relative to the x-axis?

<p>$\arctan{(15/20)}$ (B)</p> Signup and view all the answers

An object experiences three forces: 10 N to the east, 15 N to the north, and 5 N to the west. What is the closest approximation of the direction of the net force?

<p>North-East (A)</p> Signup and view all the answers

Flashcards

What is a Force?

A push or pull; an interaction between two objects or an object and its environment.

What is Contact Force?

A force involving direct contact between two objects, such as a push or pull.

What is Normal Force?

A contact force exerted by a surface on an object, acting perpendicular to the surface.

What is Friction Force?

A contact force exerted by a surface on an object, acting parallel to the surface and opposing sliding.

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What is Tension Force?

The pulling force exerted by a stretched rope or cord on an object to which it’s attached.

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What are Long-Range Forces?

Forces that act even when objects are separated by empty space.

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What is Weight?

The gravitational force that the earth exerts on your body.

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What is a Newton (N)?

The SI unit of the magnitude of force.

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Spring Balance

A tool using a spring to measure force magnitude by stretching.

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Force Vector

Visual representation of a force (magnitude and direction). Length indicates magnitude.

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Superposition of Forces

When multiple forces act on an object, their combined effect equals the vector sum of individual forces.

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Net Force

The sum of all forces acting on an object.

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Force Components

Breaking forces into perpendicular components to simplify vector addition.

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∑Fx

The x-component of the net force.

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∑Fy

The y-component of the net force.

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Net Force Angle (θ)

Finding the overall direction of the net force.

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Component Method

Using components to determine the overall force.

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Force Diagram

A simplified drawing showing all forces acting on an object.

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Wiggly Line

Replace force with x and y components on a diagram

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Tension

Pulling force exerted by a string or rope.

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Friction

Force that opposes motion between surfaces in contact.

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Weight

Force of gravity acting on an object.

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Normal Force

Force exerted by a surface supporting an object.

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Study Notes

  • A force is an interaction, either a push or a pull, between two objects or an object and its environment
  • It is always referred to as the force that one object exerts on a second object

Force as a Vector Quantity

  • Force is a vector quantity, possessing both magnitude and direction

Contact Forces

  • Contact forces involve direct contact between two objects

Normal Force

  • A normal force is exerted on an object by a surface it is in contact with
  • It acts perpendicular to the surface of contact.

Friction Force

  • A friction force is exerted on an object by a surface
  • It acts parallel to the surface, opposing sliding.

Tension Force

  • A tension force is the pulling force exerted by a stretched rope or cord on an object to which it’s attached

Long-Range Forces

  • Long-range forces act even when objects are separated by empty space

Gravity

  • Gravity as a long-range force causes objects to be pulled towards the earth even without direct contact
  • The gravitational force exerted on a body is called weight

Describing Force Vectors

  • Describing a force vector requires direction and magnitude
  • The magnitude of force is measured in newtons (N)

Measuring Force

  • Spring balances are common instruments for measuring force magnitudes, using the stretching of a spring to indicate force

Superposition of Forces

  • When multiple forces act on an object, the effect on the object's motion is the same as if a single force equal to the vector sum (resultant) of the forces were acting, it's called superposition of forces

Vector Mathematics in Force Problems

  • Vector mathematics can be used to solve force-related problems since forces are vector quantities

Force Components

  • Forces can be described in terms of x and y components
  • Coordinate axes can be chosen for convenience

Net Force

  • The vector sum of all forces acting on an object is called the net force
  • Net force is represented by ΣF

Net Force Components

  • The x-component of the net force is the sum of the x-components of the individual forces
  • The y-component of the net force is the sum of the y-components of the individual forces

Finding Net Force

  • Net force magnitude is found using the square root of the sum of the squares of the net force components
  • The direction can be found using the arctangent of (Fy / Fx)

Three-Dimensional Forces

  • In three-dimensional problems, forces can also have z components
  • The net force includes the sum of forces in the z direction

Net Force Example

  • Forces are added using vector addition with components to find the net force
  • The direction of the net force must be checked for the correct quadrant

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Description

Explore the concept of force as an interaction between objects, focusing on its vector nature. Learn about contact forces like normal force, friction and tension force. Discover long-range forces such as gravity and their effects.

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