23.0k views
3 votes
A weight of 10 N hangs motionless from a spring. The spring is stretched 0.286 m from its original length. What is the force constant for the spring?

a-2.8 N/m

b-22 N/m

c-35 N/m

d-43 N/m

User Manushka
by
7.5k points

1 Answer

2 votes

Answer:

C. -35N/m

Step-by-step explanation:

Using Hooke's Law, we know that the elastic constant of a spring can be found with this formula:

F=-kx

where:


F is the force ( in Newtons)

k is the constant ( in Newtons per meter)

x is the extension ( in meters)

thus, by rearranging the formula we can get:

k=-(F)/(x)


k = -(10)/(0.286)


k=-34.96503N/m

Rounding off the answer, we get -35N/m

User Ian Thompson
by
8.0k points