In the figured provided, a 67.0 kg boy compresses a spring by 0.300 m and slides

Question

In the figured provided, a 67.0 kg boy compresses a spring by 0.300 m and slides down a frictionless slide. The slide leads into a 30° ramp that has a coefficient of kinetic friction of 0.140 with the boy. If the spring constant in the spring is 51600 N/m and the slide has a height of 35.0 m, what distance up the ramp will the boy get before stopping?

Question 2 0 30 In the figured provided, a 67.0 kg boy compresses a spring by 0.300 m and slides down a frictionless slide. The slide leads into a 30o ramp that has a coefficient of kinetic friction of 0.140 with the boy. If the spring constant in the spring is 51600 N/m and the slide has a height of 35.0 m, what distance up the ramp will the boy get before stopping?

Explanation / Answer

Conserving energy we got

0.5k*x*x+(67*9.8*35)=0.14*67*9.8*cos(theta)*d

We got

d=317.8 m up the incline alond the surface of plane

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