Answer to Question #104977 in Mechanics | Relativity for Ceaser

Question #104977
A block of mass 12.0 kg slides from rest down a friction- less 35.0° incline and is stopped by a strong spring with k 5 3.00 3 104 N/m. The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?
1
Expert's answer
2020-03-10T11:27:13-0400

According to the law of conservation of energy


"\\frac{kx^2}{2}=mgL\\sin35\u00b0"


"x=\\sqrt{\\frac{2mgL\\sin35\u00b0}{k}}=\\sqrt{\\frac{2\\cdot 12\\cdot 9.8\\cdot 3\\cdot \\sin35\u00b0}{3\\cdot 10^{4}}}\\approx0.12m"








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