A small ball hangs on a light string of length 0.8 m. It is pulled aside until the string makes 90° with the vertical and released from rest. Ignoring air resistance, find its speed v at the lowest point.
A 1 kg ball is dropped from rest from a height of 27 m. Ignore air resistance. Find its speed v just before it hits the ground.
A car travelling at 80 km/h on a level road brakes hard and skids to a stop with its wheels locked. The coefficient of kinetic friction between the tyres and the road is 0.4. Find the stopping distance d.
A 1000 kg car drives up a 5° slope at a constant 72 km/h. Air resistance and rolling resistance together amount to 200 N. Find the power P the wheels must deliver, in kW.
An 8 kg block rests on a rough horizontal table (μ = 0.3). A light string runs from it over a smooth pulley at the edge of the table to a hanging 6 kg block. The system is released from rest. Find the speed v of the blocks after the hanging block has dropped 2.5 m.
A 4 kg block is released from rest at height 3.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2.5 m long (μ = 0.3) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the maximum compression x of the spring.
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