Problem: A 2 kg mass is held at the top of a ramp 6m above a spring which has a spring constant of 40 N/m (the 6 m distance is measured along the ramp surface). The ramp is at 30 degrees relative to the horizon. Find the speed of the mass as it just strikes the spring 6 meters below the point it was released from. Find how much the spring is compressed. Ignore friction.(adsbygoogle = window.adsbygoogle || []).push({});

Formulae: PE_{spring}=1/2kx^{2}, KE=1/2mv^{2}, GPE=mgh (we use 10 m/s^{2}for acceleration due to gravity), and conservation of energy

The professor said this problem was tricky, but the solution I found seems like it may be too easy. I calculated the gravitational potential energy to be 60J at the top of the incline. At the end of the ramp, where theoretically all of the GPE would be kinetic energy now because μ=0, I calculated the velocity to be 7.75 m/s. Would this be the correct way to go, given that the incline is at an angle?

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# Conservation of energy/inclined plane w/ spring

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