A spring stretches 20 cm when a mass of 150 g is loaded on it.  What is the spring constant?  How far will 375 g stretch the spring?

Inquiry into Physics
8th Edition
ISBN:9781337515863
Author:Ostdiek
Publisher:Ostdiek
Chapter2: Newton's Laws
Section: Chapter Questions
Problem 18Q
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1.  A spring stretches 20 cm when a mass of 150 g is loaded on it.  What is the spring constant?  How far will 375 g stretch the spring?  

2.  The spring above  is loaded with  500 g and but only allowed to stretch 35 cm.  The mass will be resting on a scale.  what will the scale read?  (clearly, if the spring weren't pulling up the scale would read 500 g...)

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3.  A mass of 550 g is loaded on 1 side of a frictionless/weightless pulley.  450 g is loaded on the other side.  Draw a freebody diagram of the situation.  If the masses are released from rest what will the resulting acceleration of the masses be?  How long will it take for the 550 g mass to fall 0.5 m?

4.  (Same problem but the masses have changed.)  A mass of 550 g is loaded on 1 side of a frictionless/weightless pulley.  520 g is loaded on the other side.  Draw a freebody diagram of the situation.  If the masses are released from rest what will the resulting acceleration of the masses be?  How long will it take for the 550 g mass to fall 0.5 m?

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