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An object of mass M = 4 kg slides from rest a distance d = 2 m down a frictionless inclined plane where it encounters a spring. It compresses the spring a distance D = 1.2 m before stopping. The inclined plane makes an angle q = 20° with the horizontal.

a) When the block just touches the spring, how much gravitational potential energy has it lost? Give your answer as a positive number.

D|Ugrav,1|= J
b) After the mass has fully compressed the spring, what is its total loss of gravitational potential energy? Give your answer as a postive number.

D|Ugrav,2| = J
c) What is the value of the spring constant?

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