5 mechanics models
A 2.0 kg block is released from rest on a 30 degree rough incline. The coefficient of kinetic friction is 0.20. Find the acceleration down the slope.
Diagram: incline / block / normal force / kinetic friction / weight components / slope axes
A 12 kg crate is pulled to the right across a rough horizontal floor by a 60 N rope at 30 degrees above the horizontal. The coefficient of kinetic friction is 0.20. Find the acceleration of the crate.
Diagram: crate / floor / applied pull / pull components / normal force / weight / kinetic friction
A 4.0 kg block on a rough horizontal table is connected by a light string over a frictionless pulley to a 2.5 kg hanging mass. The coefficient of kinetic friction between the block and table is 0.20. Find the acceleration of the system and the tension in the string.
Diagram: table block / hanging mass / light string / frictionless pulley / normal force / kinetic friction / weight forces / tension forces / linked acceleration arrows
A 65 kg passenger stands on a scale in an elevator accelerating upward at 1.8 m s^-2. Find the scale reading.
Diagram: elevator cab / passenger / scale / normal force / weight / upward acceleration / vertical axis
A ball is launched from a 20 m high cliff with speed 18 m s^-1 at 35 degrees above the horizontal. Ignore air resistance. Find the time of flight, horizontal range from the base of the cliff, and impact speed just before it hits the ground.
Diagram: cliff / projectile path / initial velocity / horizontal velocity component / vertical velocity component / gravity / range / impact velocity / coordinate axes