A small ball hangs on a light string of length 2.5 m. It is pulled aside until the string makes 40° 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 20 m. Ignore air resistance. Find its speed v just before it hits the ground.
A 2.5 kg block slides 7 m down a slope at 40° to the horizontal, with a coefficient of kinetic friction of 0.25. Find the work Wf done against friction.
A 1 kg ball hangs on a light string of length 1 m. It is pulled aside until the string makes 30° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.
A 0.5 kg block is released from rest at height 2.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3 m long (μ = 0.1) and then runs onto a spring (k = 2500 N/m) on a smooth surface. Find the maximum compression x of the spring.
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 5 m long (μ = 0.25) and then runs onto a spring (k = 2500 N/m) on a smooth surface. Find the maximum compression x of the spring.
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