A 2 kg block is on a smooth incline of angle 37° which rises towards the right. A horizontal force F towards the right is applied so that the block remains at rest. Take g = 10 m/s², sin37° = 3/5 and cos37° = 4/5. F is:
Options

Question

A 2 kg block is on a smooth incline of angle 37° which rises towards the right. A horizontal force F towards the right is applied so that the block remains at rest. Take g = 10 m/s², sin37° = 3/5 and cos37° = 4/5. F is:

Options

G1 Physics · Accepted Answer

Along the incline, F cosθ balances mg sinθ. Therefore F = mg tanθ = 2×10×3/4 = 15 N.