What is the spring constant? and How long is the spring when a 3.0 kg mass is suspended from it?

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What is the spring constant? and How long is the spring when a 3.0 kg mass is suspended from it?

10-cm-long spring is attached to the ceiling. When a 2.0 kg mass is hung from it, the spring stretches to a length of 15 cm.

Posted 263 day ago

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Answers (3)

Amarjeet

F=k*x

F - force applied on the spring or restoring force of the spring
x - stretch of the spring
k - spring constant

Spring constant is defined as the amount of force required to produce a unit stretch in a spring.

Here F = 2kg * 9.8 m/s.s

there for x = 15-10 = 5cm=.05m
k= 2*9.8/.05 N/m

New stretch with 3 kgforce x = 3*9.8/k = 3*9.8*.05/2*9.8 = 0.15/2= .075m = 7.5cm

Posted 249 day ago

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davidmcy

I agree with Tom's answers, except in the second part -- the change in length is 7.5 cm, so the answer is 17.5 cm.

Posted 260 day ago

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Spring Constant, K = Force / Change in length = F / x
= mg / 5 cm
= (( 2.0 kg) x (9.8 m / sec^2)) / 5 cm
= 19.6 Newton / 5 cm
ANSWER IN cm = 3.92 N / cm
OR = 3.92 N / )(cm x (1 m / 100 cm))
ANSWER IN m = 392 N / m

Second question
x = F / K
= (3.0 kg x (9.8 m / sec^2) / (3.92 N / cm )
= (29.4 N / 3.92 N ) cm
ANSWER = 7.5 cm

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