Newton's laws, friction, free-body diagrams, dynamics on inclines.
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Q1 · Laws of Motion (Class 11 — ~20% weight) · EASY
A block of mass 5 kg rests on a horizontal surface. A horizontal force of 20 N is applied to the block, but it does not move. The coefficient of static friction between the block and surface is 0.5. What is the magnitude of the frictional force acting on the block? (Take g = 10 m/s²)
Q2 · Laws of Motion (Class 11 — ~20% weight) · MEDIUM
A block of mass 10 kg is placed on an inclined plane making an angle of 30° with the horizontal. The coefficient of kinetic friction between the block and plane is 0.2. What is the acceleration of the block down the plane? (Take g = 10 m/s²)
Q3 · Laws of Motion (Class 11 — ~20% weight) · HARD
Two blocks of masses m₁ = 4 kg and m₂ = 6 kg are connected by a light inextensible string passing over a frictionless pulley. Block m₁ is on a horizontal table with coefficient of kinetic friction 0.3, and block m₂ hangs vertically. What is the acceleration of the system when released? (Take g = 10 m/s²)
Q4 · Laws of Motion (Class 11 — ~20% weight) · MEDIUM
A block of mass 8 kg is placed on a rough horizontal surface with coefficient of friction μ = 0.4. A horizontal force of 50 N is applied on the block. The frictional force acting on the block is: (Take g = 10 m/s²)
Q5 · Laws of Motion (Class 11 — ~20% weight) · EASY
A force of 20 N acts on a body of mass 5 kg for 4 seconds. The change in momentum of the body is: