A small ball hangs on a light string of length 2.5 m. It is pulled aside until the string makes 25° with the vertical and released from rest. Ignoring air resistance, find its speed v at the lowest point.
A 5 kg ball is dropped from rest from a height of 4 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.
A 1 kg ball hangs on a light string of length 1 m. It is pulled aside until the string makes 50° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.
A 1200 kg car drives up an 8° slope at a constant 72 km/h. Air resistance and rolling resistance together amount to 550 N. Find the power P the wheels must deliver, in kW.
A 15 kg block starts from rest at the bottom of a 20° slope and is pulled up the slope by a constant force of 150 N parallel to the slope. The coefficient of kinetic friction is 0.3. Find the speed v of the block after it has moved 2 m up the slope.
A 2 kg block is released from rest at height 4.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3.5 m long (μ = 0.3) and then runs onto a spring (k = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.
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