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A block tied between two springs is in equilibrium. If upper string is cut then the acceleration of the block just after cut is 6m/s² downwards.Now, if instead of upper spring lower spring is cut then magnitude of acceleration of the block just after the cut will be?
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A block tied between two springs is in equilibrium. If upper string is...
B Steps to determine the acceleration of the block after cutting the lower spring:
b Analyze the forces acting on the block before and after cutting the lower spring:
Before cutting the lower spring, the block is in equilibrium, so the forces acting on it are balanced. The tension in the upper and lower springs cancel out the weight of the block.
After cutting the lower spring, only the upper spring is providing the restoring force. This will cause the block to accelerate downwards.
b Use Newton's second law to calculate the acceleration:
Newton's second law states that the net force acting on an object is equal to the mass of the object times its acceleration.
F_net = ma
Since the only force acting on the block after cutting the lower spring is the tension in the upper spring, we can write:
T_upper - mg = ma
where T_upper is the tension in the upper spring, m is the mass of the block, g is the acceleration due to gravity, and a is the acceleration of the block.
Given that the acceleration after cutting the upper spring is 6 m/s^2 downwards, we can substitute this value into the equation:
T_upper - mg = ma
T_upper - mg = 6m
b Calculate the magnitude of acceleration after cutting the lower spring:
After cutting the lower spring, the block will experience a net force downwards equal to the tension in the upper spring minus the weight of the block.
T_upper - mg = ma
Since the tension in the upper spring will be the same as before, the net force acting on the block will be the same as well. Therefore, the magnitude of acceleration after cutting the lower spring will also be 6 m/s^2 downwards.
Therefore, the magnitude of acceleration of the block just after cutting the lower spring will be 6 m/s^2 downwards.
b Analyze the forces acting on the block before and after cutting the lower spring:
Before cutting the lower spring, the block is in equilibrium, so the forces acting on it are balanced. The tension in the upper and lower springs cancel out the weight of the block.
After cutting the lower spring, only the upper spring is providing the restoring force. This will cause the block to accelerate downwards.
b Use Newton's second law to calculate the acceleration:
Newton's second law states that the net force acting on an object is equal to the mass of the object times its acceleration.
F_net = ma
Since the only force acting on the block after cutting the lower spring is the tension in the upper spring, we can write:
T_upper - mg = ma
where T_upper is the tension in the upper spring, m is the mass of the block, g is the acceleration due to gravity, and a is the acceleration of the block.
Given that the acceleration after cutting the upper spring is 6 m/s^2 downwards, we can substitute this value into the equation:
T_upper - mg = ma
T_upper - mg = 6m
b Calculate the magnitude of acceleration after cutting the lower spring:
After cutting the lower spring, the block will experience a net force downwards equal to the tension in the upper spring minus the weight of the block.
T_upper - mg = ma
Since the tension in the upper spring will be the same as before, the net force acting on the block will be the same as well. Therefore, the magnitude of acceleration after cutting the lower spring will also be 6 m/s^2 downwards.
Therefore, the magnitude of acceleration of the block just after cutting the lower spring will be 6 m/s^2 downwards.
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A block tied between two springs is in equilibrium. If upper string is cut then the acceleration of the block just after cut is 6m/s² downwards.Now, if instead of upper spring lower spring is cut then magnitude of acceleration of the block just after the cut will be?
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A block tied between two springs is in equilibrium. If upper string is cut then the acceleration of the block just after cut is 6m/s² downwards.Now, if instead of upper spring lower spring is cut then magnitude of acceleration of the block just after the cut will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A block tied between two springs is in equilibrium. If upper string is cut then the acceleration of the block just after cut is 6m/s² downwards.Now, if instead of upper spring lower spring is cut then magnitude of acceleration of the block just after the cut will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block tied between two springs is in equilibrium. If upper string is cut then the acceleration of the block just after cut is 6m/s² downwards.Now, if instead of upper spring lower spring is cut then magnitude of acceleration of the block just after the cut will be?.
A block tied between two springs is in equilibrium. If upper string is cut then the acceleration of the block just after cut is 6m/s² downwards.Now, if instead of upper spring lower spring is cut then magnitude of acceleration of the block just after the cut will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A block tied between two springs is in equilibrium. If upper string is cut then the acceleration of the block just after cut is 6m/s² downwards.Now, if instead of upper spring lower spring is cut then magnitude of acceleration of the block just after the cut will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block tied between two springs is in equilibrium. If upper string is cut then the acceleration of the block just after cut is 6m/s² downwards.Now, if instead of upper spring lower spring is cut then magnitude of acceleration of the block just after the cut will be?.
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