Question

A block of mass 3.5 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 435 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 29°. show answer Incorrect Answer 33% Part (a) The block, starting from rest, slides down the ramp a distance 52 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? Δx = 0.028 ✘ Attempts Remain show answer No Attempt 33% Part (b) After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring?

c) What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed? $sig.gif?tid=4N89-32-09-44-8D57-19809$

Answer 1

A handwritten solution for this question is given below

block - @ vertical height covered by the 7h 52 sim 290 m 52cm 100 29 20.252 m h= 52 sin 29 & potential energy ingh a (3 59.8 x0.252) 28.643 let compression ex. i pofential energy of Spring 21 kx2 => 1 x 4 35x x~ 435*2 8164 - xao-04 m = 4cm 6 let velocity :v - 12 mura kinetic energy of Hock y mura kar 8.645 vo 12x8169 = 2.22 m/s diff. in Gpotential energy after compression a mest for better steeds mg (52+4) sinago 3.5x9.8 x 0.271 = 9.315