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A block of mass m is attached to a massless spring of spring constant k. This system is accelerated upward with acceleration a. The elongation in spring will be?
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A block of mass m is attached to a massless spring of spring constant ...
Analysis:
The motion of the block attached to the spring can be analyzed using Newton's second law and the spring force.
Newton's Second Law:
The net force acting on the block is given by:
\[ F_{\text{net}} = ma \]
Spring Force:
The spring force is given by Hooke's Law:
\[ F_{\text{spring}} = -kx \]
where x is the elongation in the spring.
Equilibrium of Forces:
At equilibrium, the net force is zero:
\[ ma = kx \]
Solving for x, we get:
\[ x = \frac{ma}{k} \]
Therefore, the elongation in the spring when the system is accelerated upward with acceleration a is \[ \frac{ma}{k} \].
The motion of the block attached to the spring can be analyzed using Newton's second law and the spring force.
Newton's Second Law:
The net force acting on the block is given by:
\[ F_{\text{net}} = ma \]
Spring Force:
The spring force is given by Hooke's Law:
\[ F_{\text{spring}} = -kx \]
where x is the elongation in the spring.
Equilibrium of Forces:
At equilibrium, the net force is zero:
\[ ma = kx \]
Solving for x, we get:
\[ x = \frac{ma}{k} \]
Therefore, the elongation in the spring when the system is accelerated upward with acceleration a is \[ \frac{ma}{k} \].
Community Answer
A block of mass m is attached to a massless spring of spring constant ...
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A block of mass m is attached to a massless spring of spring constant k. This system is accelerated upward with acceleration a. The elongation in spring will be?
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A block of mass m is attached to a massless spring of spring constant k. This system is accelerated upward with acceleration a. The elongation in spring will be? 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 A block of mass m is attached to a massless spring of spring constant k. This system is accelerated upward with acceleration a. The elongation in spring will be? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass m is attached to a massless spring of spring constant k. This system is accelerated upward with acceleration a. The elongation in spring will be?.
A block of mass m is attached to a massless spring of spring constant k. This system is accelerated upward with acceleration a. The elongation in spring will be? 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 A block of mass m is attached to a massless spring of spring constant k. This system is accelerated upward with acceleration a. The elongation in spring will be? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass m is attached to a massless spring of spring constant k. This system is accelerated upward with acceleration a. The elongation in spring will be?.
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