A .15kg block of ice is placed on a horizontal table. It is pushed back compressing a spring .045m, and the spring's constant is 1900N/m. The spring's mass is negligible. The tabletop is 1.2m above the floor. When the spring is released, the block slides off the table and onto the floor. With negligible friction between the block and the table, what is the speed of the block when it hits the floor?

I know K1 + U1 + Wo = K2 + U2, but my answer sheet shows a result doing something I may have forgotten about algebra. Please be specific about the algebra steps. Thanks!

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Potential Energy & Energy Conservation

A .15kg block of ice is placed on a ...

Solution Summary

I have used conservation of energy to solve this problem. Answer is very detailed and easy to understand. This is a classic problem and very important to know how to solve such problems in future.

...Conservation of energy, falling mass on spring. 7-58. An 80.0kg man jumps from a height of 2.50m onto a platform mounted on springs. As the springs compress, ...

... in the compressed spring is utilized in doing work against gravity ie converts in gravitational potential energy. Hence according to law of conservation of ...

... conserved, hence applying law on conservation of momentum ... and the kinetic energy of the combined ... its gravitational potential and kinetic energies will decrease ...

... stored in a compressed spring is given by U =(1/2)Kx2, where x is the compression in the spring, hence according to law of conservation of energy we have Loss ...

... velocity will stay constant due to conservation of momentum ... internal energy is the internal kinetic energy at that ... 4 M u^2. At maximum compression, the internal ...

... By the principle of conservation of mechanical energy: Net ... block due to friction = Net mechanical energy of the ... mass until the spring is compressed a distance ...

... However, the conservation of energy asserts that the ... huge spring, the spring gets compressed and brings ... vasculature and the elevator springs energy is examined ...

... (b) How far will the spring be compressed when the ... in force, motion, kinetic, potential and elastic potential energy, work, power, conservation of energy...