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Q. 15

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 176

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Short Answer

In case a, in the figure block A is accelerated across a frictionless table by a hanging weight . In case b, block A is accelerated across a frictionless table by a steady tension in the string. The string is massless, and the pulley is massless and frictionless. Is A’s acceleration in case b greater than, less than, or equal to its acceleration in case a? Explain.

The acceleration of block A will be the same for both the cases and the acceleration of block A is only dependent on the magnitude of the force, not on how the force is generated.

See the step by step solution

Step by Step Solution

Step 1 : Given information

In case a, in the figure, block A is accelerated across a frictionless table by a hanging weight . In case b, block A is accelerated across a frictionless table by a steady tension in the string. The string is massless, and the pulley is massless and frictionless.

Step 2 : Explanation

In both cases, the tension in the rope will be the same, as the weight of the block and tension in the rope are of the same magnitude.

The mass of block A is also invariant.

Therefore, the acceleration of block A will also be the same for both cases.

Thus, the acceleration of block A is only dependent on the magnitude of the force acting on it , not on how the force is generated.

Step 3 : Final answer

The acceleration of block A will be the same for both the cases and the acceleration of block A is only dependent on the magnitude of the force, not on how the force is generated.

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