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A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N-m-1. What will be its initial acceleration, if it is released from a point 20 cm away from the origin?
- a)3 m-s-2
- b)5 m-s-2
- c)10 m-s-2
- d)15 m-s-2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 ...
F = -kx = - 15 x0.2 = -3 N
Therefore
Therefore
Most Upvoted Answer
A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 ...
Let's analyze the given problem step by step.
Given:
Mass of the particle (m) = 0.3 kg
Force (F) = -kx (where k = 15 N-m-1 and x = 20 cm = 0.2 m)
To find:
Initial acceleration (a)
We can use Newton's second law of motion, which 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 represented as:
F = ma
Given force, F = -kx
Substituting this in the equation, we have:
-mkx = ma
Simplifying the equation, we get:
a = -kx/m
Substituting the given values, we have:
a = -15 N-m-1 * 0.2 m / 0.3 kg
Simplifying further, we get:
a = -10 m/s2
Since the negative sign denotes the direction of the force, the acceleration is also negative, indicating that the particle is moving in the opposite direction of the force.
However, the question asks for the magnitude of the initial acceleration, which is always positive. So, taking the magnitude, we have:
|a| = 10 m/s2
Hence, the correct answer is option C) 10 m/s2.
Note: It is important to pay attention to the units and convert them to the same system (e.g., meters, kilograms, seconds) before performing calculations.
Given:
Mass of the particle (m) = 0.3 kg
Force (F) = -kx (where k = 15 N-m-1 and x = 20 cm = 0.2 m)
To find:
Initial acceleration (a)
We can use Newton's second law of motion, which 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 represented as:
F = ma
Given force, F = -kx
Substituting this in the equation, we have:
-mkx = ma
Simplifying the equation, we get:
a = -kx/m
Substituting the given values, we have:
a = -15 N-m-1 * 0.2 m / 0.3 kg
Simplifying further, we get:
a = -10 m/s2
Since the negative sign denotes the direction of the force, the acceleration is also negative, indicating that the particle is moving in the opposite direction of the force.
However, the question asks for the magnitude of the initial acceleration, which is always positive. So, taking the magnitude, we have:
|a| = 10 m/s2
Hence, the correct answer is option C) 10 m/s2.
Note: It is important to pay attention to the units and convert them to the same system (e.g., meters, kilograms, seconds) before performing calculations.
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A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N-m-1. What will be its initial acceleration, if it is released from a point 20 cm away from the origin?a)3 m-s-2b)5 m-s-2c)10 m-s-2d)15 m-s-2Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N-m-1. What will be its initial acceleration, if it is released from a point 20 cm away from the origin?a)3 m-s-2b)5 m-s-2c)10 m-s-2d)15 m-s-2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N-m-1. What will be its initial acceleration, if it is released from a point 20 cm away from the origin?a)3 m-s-2b)5 m-s-2c)10 m-s-2d)15 m-s-2Correct answer is option 'C'. Can you explain this answer?.
A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N-m-1. What will be its initial acceleration, if it is released from a point 20 cm away from the origin?a)3 m-s-2b)5 m-s-2c)10 m-s-2d)15 m-s-2Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N-m-1. What will be its initial acceleration, if it is released from a point 20 cm away from the origin?a)3 m-s-2b)5 m-s-2c)10 m-s-2d)15 m-s-2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 0.3 kg is subjected to a force F = -kx with k = 15 N-m-1. What will be its initial acceleration, if it is released from a point 20 cm away from the origin?a)3 m-s-2b)5 m-s-2c)10 m-s-2d)15 m-s-2Correct answer is option 'C'. Can you explain this answer?.
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