Newton's laws, friction, circular dynamics and dynamics of connected systems.
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Q1 · Laws of Motion · MEDIUM
A block of mass 5 kg is placed on a rough inclined plane making an angle of 30° with the horizontal. The coefficient of static friction between the block and the plane is 0.4. What is the minimum force (in N) parallel to the plane required to prevent the block from sliding down? (Take g = 10 m/s²)
Q2 · Laws of Motion · EASY
A block of mass 5 kg is placed on a rough horizontal surface with coefficient of kinetic friction μₖ = 0.3. A horizontal force of 25 N is applied to the block. What is the acceleration of the block? (Take g = 10 m/s²)
Q3 · Laws of Motion · EASY
A block of mass 5 kg rests on a horizontal surface with coefficient of static friction μₛ = 0.4 and coefficient of kinetic friction μₖ = 0.3. A horizontal force of 18 N is applied to the block. What is the magnitude of the friction force acting on the block? (Take g = 10 m/s²)
Q4 · Laws of Motion · HARD
A block of mass 5 kg is placed on a rough inclined plane making an angle of 37° with the horizontal. The coefficient of static friction between the block and the plane is 0.5. What minimum force (in N) applied horizontally can prevent the block from sliding down? (Take g = 10 m/s², sin37° = 0.6, cos37° = 0.8)