A small ball hangs on a light string of length 1.5 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 small ball hangs on a light string of length 1 m. It is pulled aside until the string makes 35° with the vertical and released from rest. Ignoring air resistance, find its speed v at the lowest point.
A 2 kg block slides 15 m down a slope at 35° to the horizontal, with a coefficient of kinetic friction of 0.25. Find the work Wf done against friction.
A car travelling at 40 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 0.8. Find the stopping distance d.
A 2.5 kg block is released from rest at height 3 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3.5 m long (μ = 0.1) and then runs onto a spring (k = 2500 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.
A 5 kg block is released from rest at height 4 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3.5 m long (μ = 0.2) and then runs onto a spring (k = 4000 N/m) on a smooth surface. Find the maximum compression x of the spring.
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