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Questions and Answers
What is the vertical component of the force, given the options?
What is the vertical component of the force, given the options?
What is the exact speed of light as defined in physics?
What is the exact speed of light as defined in physics?
If vector A has a magnitude of 15 units and vector B has a magnitude of 10 units in opposite directions, what is the magnitude of their resultant vector?
If vector A has a magnitude of 15 units and vector B has a magnitude of 10 units in opposite directions, what is the magnitude of their resultant vector?
How is a 'model' typically described in physics?
How is a 'model' typically described in physics?
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What is the distance traveled by light in one second in a vacuum, approximately?
What is the distance traveled by light in one second in a vacuum, approximately?
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What is the SI unit for frequency if the unit for time is the second?
What is the SI unit for frequency if the unit for time is the second?
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Which of the following quantities is classified as a vector?
Which of the following quantities is classified as a vector?
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In physics, which of the following best describes a simplified version of a physical theory?
In physics, which of the following best describes a simplified version of a physical theory?
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Which statement correctly describes vector equality?
Which statement correctly describes vector equality?
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When is the Pythagorean theorem applicable for vector magnitudes?
When is the Pythagorean theorem applicable for vector magnitudes?
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What is the result of multiplying a vector by a positive scalar?
What is the result of multiplying a vector by a positive scalar?
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What is the magnitude of the vector sum of a 3-unit vector and a 4-unit vector that are perpendicular?
What is the magnitude of the vector sum of a 3-unit vector and a 4-unit vector that are perpendicular?
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If a vector has an x-component of 8 units and a y-component of 6 units, what is its magnitude?
If a vector has an x-component of 8 units and a y-component of 6 units, what is its magnitude?
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What does it mean if two vectors are antiparallel?
What does it mean if two vectors are antiparallel?
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How will the magnitude of a vector change if a negative scalar is applied?
How will the magnitude of a vector change if a negative scalar is applied?
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When adding two vectors that are not perpendicular, what must be considered?
When adding two vectors that are not perpendicular, what must be considered?
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What is the cross product of two parallel vectors?
What is the cross product of two parallel vectors?
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What distinguishes a vector quantity from a scalar quantity?
What distinguishes a vector quantity from a scalar quantity?
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In SI units, how is one newton defined?
In SI units, how is one newton defined?
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What is the work done when a force of 100 N moves an object 5 meters?
What is the work done when a force of 100 N moves an object 5 meters?
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What is the acceleration of an object that accelerates from 5 m/s to 15 m/s in 2 seconds?
What is the acceleration of an object that accelerates from 5 m/s to 15 m/s in 2 seconds?
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Which prefix in the metric system means 1,000,000?
Which prefix in the metric system means 1,000,000?
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If two vectors of magnitude 10 N and 20 N are added to yield a resultant of 25 N, what is the angle between them?
If two vectors of magnitude 10 N and 20 N are added to yield a resultant of 25 N, what is the angle between them?
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Which quantity is dimensionally the same as energy?
Which quantity is dimensionally the same as energy?
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What is the horizontal component of a force of 10 N acting at an angle of 30° above the horizontal?
What is the horizontal component of a force of 10 N acting at an angle of 30° above the horizontal?
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Which of the following is NOT a fundamental physical quantity?
Which of the following is NOT a fundamental physical quantity?
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What is the SI unit for time?
What is the SI unit for time?
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The kilogram is defined as the unit of mass based on which reference?
The kilogram is defined as the unit of mass based on which reference?
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What is the average speed of a car that travels 60 km in 2 hours?
What is the average speed of a car that travels 60 km in 2 hours?
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Which of the following is the correct unit for energy in the SI system?
Which of the following is the correct unit for energy in the SI system?
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If a force of 10 N is acting downward at an angle of 30°, what is the vertical component of the force?
If a force of 10 N is acting downward at an angle of 30°, what is the vertical component of the force?
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Which of the following quantities is derived from the basic units of mass, length, and time?
Which of the following quantities is derived from the basic units of mass, length, and time?
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What is the acceleration of a particle moving with a velocity of 20 m/s if it comes to a stop in 4 seconds?
What is the acceleration of a particle moving with a velocity of 20 m/s if it comes to a stop in 4 seconds?
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How is the area of a parallelogram related to the cross product?
How is the area of a parallelogram related to the cross product?
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What is the magnitude of the resultant vector when two vectors of magnitudes 7 N and 24 N are added at right angles?
What is the magnitude of the resultant vector when two vectors of magnitudes 7 N and 24 N are added at right angles?
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What is the formula for the magnitude of a vector based on its components?
What is the formula for the magnitude of a vector based on its components?
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What is the significance of the triple product in vector mathematics?
What is the significance of the triple product in vector mathematics?
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If a force is applied resulting in torque, which equation properly relates torque and force?
If a force is applied resulting in torque, which equation properly relates torque and force?
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When does the angular momentum of a particle change?
When does the angular momentum of a particle change?
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Which of the following statements regarding vector addition at right angles is true?
Which of the following statements regarding vector addition at right angles is true?
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Study Notes
Fundamental Physical Quantities
- Force is not a fundamental physical quantity, mass, length, and temperature are.
- The SI unit for time is the second.
Units
- The kilogram is the unit of mass based on a cylinder of platinum-iridium alloy.
- The Joule is the SI unit for energy.
Vectors
- Two vectors are equal if they have the same magnitude and direction.
- The Pythagorean theorem is used to find the magnitude of a resultant vector when the vectors are perpendicular.
- The result of multiplying a vector by a positive scalar is a vector with the same direction and increased magnitude.
- Velocity is a vector quantity, while mass, energy, and temperature are scalar quantities.
- The distance traveled by light in a vacuum in one second is approximately 3 × 10⁸ meters.
- The SI unit for frequency is hertz (Hz).
- A vector quantity differs from a scalar quantity because it includes both magnitude and direction.
- The prefix mega means 1,000,000.
Forces
- One newton is equal to 1 kg·m/s².
- The work done on an object is calculated by multiplying the force applied by the distance it moves.
Acceleration
- Acceleration is the rate of change of velocity over time.
Dot Product
- The dot product of two vectors is a scalar quantity equal to the product of their magnitudes and the cosine of the angle between them.
- The cross product can be used to find the area of a parallelogram, the torque exerted by a force, and the angular momentum of a particle.
Formulas
- The horizontal component of a vector is calculated by multiplying the magnitude of the vector by the cosine of the angle it makes with the horizontal.
- The vertical component of a vector is calculated by multiplying the magnitude of the vector by the sine of the angle it makes with the horizontal.
- The magnitude of a vector is calculated using the Pythagorean theorem:
v = sqrt(v_x^2 + v_y^2)
.
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Description
This quiz covers fundamental physical quantities, units, and vectors in physics. It includes topics like SI units, the distinction between vector and scalar quantities, and applies the Pythagorean theorem to vectors. Test your understanding of these essential concepts in physics.