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The second law of motion is a vector law. It is equivalent to
- a)Two equations, one for each component of the vectors
- b)Four equations, one for each component of the vectors and one for time
- c)Three equations, one for each component of the vectors
- d)One equation, one for each component of the vectors
Correct answer is option 'C'. Can you explain this answer?
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The second law of motion, also known as Newton's second law of motion, states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be expressed as F = ma, where F is the net force applied on the object, m is its mass, and a is the acceleration produced.
When we consider this law in the context of vectors, it is important to note that both force and acceleration are vector quantities. A vector has both magnitude and direction, so it requires multiple components to fully describe it. In the case of force and acceleration, these components are typically in the x, y, and z directions.
To fully describe the second law of motion in the form of equations, we need to consider each component separately. Therefore, the correct answer is option 'C', which states that there are three equations, one for each component of the vectors.
Explanation:
1. Force Components:
- The force acting on an object can have components in the x, y, and z directions. Let's denote these components as Fx, Fy, and Fz, respectively.
2. Acceleration Components:
- Similar to force, the acceleration produced in an object can also have components in the x, y, and z directions. Denoting these components as ax, ay, and az, respectively.
3. Equations:
- The second law of motion can be written in vector form as F = ma. However, when considering the individual components, we can write three separate equations:
- Fx = max
- Fy = may
- Fz = maz
4. Interpretation:
- These equations represent the relationship between the force components (Fx, Fy, Fz) and the acceleration components (ax, ay, az) for an object of mass m. Each equation states that the force in a particular direction is equal to the mass multiplied by the acceleration in that direction.
By breaking down the second law of motion into three separate equations, we can analyze the forces and accelerations in each direction independently. This allows us to study the motion of objects in a more detailed and comprehensive manner.
When we consider this law in the context of vectors, it is important to note that both force and acceleration are vector quantities. A vector has both magnitude and direction, so it requires multiple components to fully describe it. In the case of force and acceleration, these components are typically in the x, y, and z directions.
To fully describe the second law of motion in the form of equations, we need to consider each component separately. Therefore, the correct answer is option 'C', which states that there are three equations, one for each component of the vectors.
Explanation:
1. Force Components:
- The force acting on an object can have components in the x, y, and z directions. Let's denote these components as Fx, Fy, and Fz, respectively.
2. Acceleration Components:
- Similar to force, the acceleration produced in an object can also have components in the x, y, and z directions. Denoting these components as ax, ay, and az, respectively.
3. Equations:
- The second law of motion can be written in vector form as F = ma. However, when considering the individual components, we can write three separate equations:
- Fx = max
- Fy = may
- Fz = maz
4. Interpretation:
- These equations represent the relationship between the force components (Fx, Fy, Fz) and the acceleration components (ax, ay, az) for an object of mass m. Each equation states that the force in a particular direction is equal to the mass multiplied by the acceleration in that direction.
By breaking down the second law of motion into three separate equations, we can analyze the forces and accelerations in each direction independently. This allows us to study the motion of objects in a more detailed and comprehensive manner.
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The second law of motion is a vector law. It is equivalent toa)Two equations, one for each component of the vectorsb)Four equations, one for each component of the vectors and one for timec)Three equations, one for each component of the vectorsd)One equation, one for each component of the vectorsCorrect answer is option 'C'. Can you explain this answer?
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The second law of motion is a vector law. It is equivalent toa)Two equations, one for each component of the vectorsb)Four equations, one for each component of the vectors and one for timec)Three equations, one for each component of the vectorsd)One equation, one for each component of the vectorsCorrect answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The second law of motion is a vector law. It is equivalent toa)Two equations, one for each component of the vectorsb)Four equations, one for each component of the vectors and one for timec)Three equations, one for each component of the vectorsd)One equation, one for each component of the vectorsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The second law of motion is a vector law. It is equivalent toa)Two equations, one for each component of the vectorsb)Four equations, one for each component of the vectors and one for timec)Three equations, one for each component of the vectorsd)One equation, one for each component of the vectorsCorrect answer is option 'C'. Can you explain this answer?.
The second law of motion is a vector law. It is equivalent toa)Two equations, one for each component of the vectorsb)Four equations, one for each component of the vectors and one for timec)Three equations, one for each component of the vectorsd)One equation, one for each component of the vectorsCorrect answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The second law of motion is a vector law. It is equivalent toa)Two equations, one for each component of the vectorsb)Four equations, one for each component of the vectors and one for timec)Three equations, one for each component of the vectorsd)One equation, one for each component of the vectorsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The second law of motion is a vector law. It is equivalent toa)Two equations, one for each component of the vectorsb)Four equations, one for each component of the vectors and one for timec)Three equations, one for each component of the vectorsd)One equation, one for each component of the vectorsCorrect answer is option 'C'. Can you explain this answer?.
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