A smooth wedge fixed inside a cart is inclined at to the horizontal

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A smooth wedge fixed inside a cart is inclined at 30∘30^{\circ} to the horizontal. The cart is given a horizontal acceleration so that a block placed on the wedge remains at rest relative to the wedge. Neglect friction. What should be the magnitude of the cart’s acceleration? (a) 8.5 m s−28.5\,\text{m}\,\text{s}^{-2} (b) 5.7 m s−25.7\,\text{m}\,\text{s}^{-2} (c) 4.9 m s−24.9\,\text{m}\,\text{s}^{-2} (d) 17 m s−217\,\text{m}\,\text{s}^{-2}

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