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A 0.150-kg frame, when suspended from a coil spring, stretches the spring 0.051

ID: 1438338 • Letter: A

Question

A 0.150-kg frame, when suspended from a coil spring, stretches the spring 0.051 m. A 0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm. Find the maximum distance the frame moves downward from its initial position. ____ m A 0.150-kg frame, when suspended from a coil spring, stretches the spring 0.051 m. A 0.200-kg lump of putty is dropped from rest onto the frame from a height of 30.0 cm. Find the maximum distance the frame moves downward from its initial position. ____ m ____ m

Explanation / Answer

for spring:

force F = mg = Kx

spring constant k = mg/x

k = 0.150 * 9.8 /( 0.051)

k = 28.82 N/m

from consevrvation of eenrgy

KE = PE

0.5 kx^2 = mg(0.3 + x)

0.5* 28.82 * x^2 = 0.2 * 9.8 * (0.3 + x)

x = 0.281 m