Problem: When an object at the end of a spring compresses that spring by some distance, the object gains a potential energy of (1/2)kd2, where k is known as the “force constant”. A 15 kg mass compresses a spring with a force constant of 200 N/m by 15 cm, and is then released, launching it across a frictionless floor. How much kinetic energy does the mass gain from the spring? If that mass crosses 15 cm of the floor and then slides up a 40o incline, how far up the ramp will the mass get before it comes to a stop and begins to slide down the ramp?

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Problem Details

When an object at the end of a spring compresses that spring by some distance, the object gains a potential energy of (1/2)kd2, where k is known as the “force constant”. A 15 kg mass compresses a spring with a force constant of 200 N/m by 15 cm, and is then released, launching it across a frictionless floor. How much kinetic energy does the mass gain from the spring? If that mass crosses 15 cm of the floor and then slides up a 40o incline, how far up the ramp will the mass get before it comes to a stop and begins to slide down the ramp?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Springs & Elastic Potential Energy concept. You can view video lessons to learn Springs & Elastic Potential Energy. Or if you need more Springs & Elastic Potential Energy practice, you can also practice Springs & Elastic Potential Energy practice problems.

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