Consider the following system ashaving frictionless surfaces. A 20 kg block is connected by astring to a 30 kg block over a frictionless pulley. The 30 kg blockis also connected to a spring, which is currently at equilibrium 20cm above a table top. The 20 kg block, originally at a height of 45cm above the table top, is pulled down the incline a distance of 20cm - stretching the spring and raising the 30 kg mass to a heightof 40 cm (20 cm above its original position). The 20 kg block isthen released from rest.
If k=250 N/m, find the velocity of the 30 kg mass as it reachesits original height on its way back down.
[hint: Use conservation of energy, setting U = 0 at theequilibrium point of the spring. Also note that the 45 cm height ofthe 20 kg block is not its initial height.]
Consider the following system ashaving frictionless surfaces. A 20 kg block is connected by astring to a 30 kg block over a frictionless pulley. The 30 kg blockis also connected to a spring, which is currently at equilibrium 20cm above a table top. The 20 kg block, originally at a height of 45cm above the table top, is pulled down the incline a distance of 20cm - stretching the spring and raising the 30 kg mass to a heightof 40 cm (20 cm above its original position). The 20 kg block isthen released from rest.
If k=250 N/m, find the velocity of the 30 kg mass as it reachesits original height on its way back down.
[hint: Use conservation of energy, setting U = 0 at theequilibrium point of the spring. Also note that the 45 cm height ofthe 20 kg block is not its initial height.]
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