Physics Vectors

Imagine or draw a vector representing a force of 5 N at an angle of 30 degrees. What are its components?

• x-component: 2.5 N, y-component: 4.33 N

• x-component: 3 N, y-component: 4 N

• x-component: 4.33 N, y-component: 2.5 N

• x-component: 5 N, y-component: 0 N

Tags

NGSS.HS-PS2-1

If vector A has a magnitude of 10 units and is directed along the positive x-axis, what are its Cartesian components?

• (10, 0)

• (10, 10)

• (5, 5)

• (0, 10)

William and Avery are using ping pong balls to demonstrate the concept of vector addition by rolling two balls in different directions. What do you observe?

• The resultant direction and distance of the combined movement of the two balls illustrate vector addition.

• The balls will bounce off each other without any direction change.

• Rolling the balls in the same direction will cancel each other out.

• The combined movement will always go straight regardless of the angles.

Tags

NGSS.HS-PS2-2

What are the steps to resolve a vector into its components using trigonometric functions?

• Vx = V + cos(θ), Vy = V + sin(θ)

• Vx = V / cos(θ), Vy = V / sin(θ)

• Vx = V * cos(θ), Vy = V * sin(θ)

• Vx = V * tan(θ), Vy = V * sec(θ)

Explain how to add two vectors graphically using the head-to-tail method.

• You add the vectors by placing them side by side without connecting them.

• The resultant vector is the average of the two vectors' lengths.

• The resultant vector is obtained by drawing from the tail of the first vector to the head of the second vector.

• The resultant vector is drawn from the head of the first vector to the tail of the second vector.

Anika is flying a kite that is 8 units high at an angle of 60 degrees from the ground. What are the x and y components of the kite's position?

• Bx = 3 units, By = 8 units

• Bx = 5 units, By = 7 units

• Bx = 6 units, By = 4 units

• Bx = 4 units, By ≈ 6.93 units

Describe how you would use tennis balls to illustrate the concept of vector subtraction.

• Use tennis balls to represent vectors, move one ball to subtract from another, illustrating the resultant vector.

• Throw tennis balls to show the concept of momentum.

• Stack tennis balls to demonstrate vector addition.

• Use tennis balls to represent scalar quantities in physics.

What role does the unit vector play in vector addition and representation?

• Unit vectors serve as the basis for representing direction in vector addition, allowing for simplified calculations and clear visualization.

• Unit vectors are primarily used for scalar multiplication in physics.

• Unit vectors are used to calculate the magnitude of vectors only.

• Unit vectors can replace any vector in calculations without changing the result.

In a coordinate system, if vector C is represented as (3, 4) Newton, what is its magnitude?

• 5 Newtons

• 7 Newtons

• 4 Newtons

• 6 Newtons

A physical quantity that has both a _____ and a ______ associated with it is called vector quantity.