Luis and Jose known at the University since they took the course of physics with

Question

Luis and Jose known at the University since they took the course of physics with Prof. Santander. They plan to find break near a park of children to review a bit of class. While they chat, they see there are two children who are launching a Slide. Both children depart from rest from a point A, which has a height of 20 meters. At the base of the Slide is a spring with constant K = n/m 14500 that is going to stop when you reach the end of the Slide.

A - What is the compression of the spring if one of the children has weight in excess of 50Kg?

B - If the other child compresses the spring 60 cm what is its mass?

C - What is the compression of the spring if both children are released at the same time?

Explanation / Answer

a) Conserving energy

mgh = 0.5kx^2

50*9.8*20 = 0.5*14500*x^2

x = 116.3cm

b) Using same relation

m' = 13.32 kg

c) Using same relation

for m + m' = 63.32kg

compression = 131 cm

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