Question

A 2kg mass compresses a spring 1.2m. If the object has 160 J of energy, calculate the spring constant of the spring.

Answer 1

no answer

Step-by-step explanation:

1.2(m)*k(N/m)=2g(mass)(g=9.8m/s^2)

k≈16.33

but

E=1/2*k*(∆L)^2

k≈222.22

what a paradox！

there must something wrong～

what kind of energy it is included?

includes gravity potential energy?spring potential energy?

Answer 2

Spring constant = K = 222.22 N/m

Step-by-step explanation:

Mass = m = 2 kg

Compressed distance = x = 1.2 m

Elastic potential energy = E = 160 J

Spring constant = K = ?

We know that:

E = (1/2)Kx^2

K = 2E/x^2

K = (2)(160)/1.2^2

K = 222.22 N/m

Hence, the value of the spring constant will be 222.22 N/m.