17. A 5.3 kg block is 4.0 meters from the end of an un-stretched spring sliding

Question

17. A 5.3 kg block is 4.0 meters from the end of an un-stretched spring sliding directly towards the spring at a speed of 10.0 m/s. The spring constant is 120 N/m. What maximum distance will the spring be compressed to if the surface is frictionless? The answer is 2.1 m. but how?

18. From Problem 17 if friction acts so that the spring is compressed by 1.2 m, how much work is done by the friction between the block and the surface. The answer is -179 J but how

17. A 5.3 kg block is 4.0 meters from the end of an un-stretched spring sliding directly towards the spring at a speed of 10.0 m/s. The spring constant is 120 N/m. What maximum distance will the spring be compressed to if the surface is frictionless? The answer is 2.1 m. but how? 18. From Problem 17 if friction acts so that the spring is compressed by 1.2 m, how much work is done by the friction between the block and the surface. The answer is -179 J but how

Explanation / Answer

Kinetic energy of the body will be stored ias potential energy in the spring

=> 0.5kx2 = 0.5mv2

=> x = v(m/k)

        = 10 X (5.3 /120)

        = 2.1m

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