A block rests against a vertical wall of a cart. Coefficient of friction between block and wall is 0.5. The cart is accelerated horizontally. Take g = 10 m/s². Minimum acceleration so that the block does not slide downward is:
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Question

A block rests against a vertical wall of a cart. Coefficient of friction between block and wall is 0.5. The cart is accelerated horizontally. Take g = 10 m/s². Minimum acceleration so that the block does not slide downward is:

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G1 Physics · Accepted Answer

Horizontal acceleration gives normal reaction N = ma. To prevent downward sliding, maximum friction μN must be at least mg: μma ≥ mg. Therefore a ≥ g/μ = 10/0.5 = 20 m/s².