Question

A spring has an equilibrium length of 2.0 meters and a spring constant of 10 newtons/meter. Alice is pulling on
one end of the spring with a force of 3.0 newtons. Bob is pulling on the opposite end of the spring with a force of

3.0 newtons, in the opposite direction. What is the resulting length of the spring?
(A) 1.7 m
(B) 2.0 m
(C) 2.3 m (correct answer)
(D) 2.6 m
(E) 8.0 m

Answer 1

Answer:

option C

Explanation:

given,

length of spring = 2 m

spring constant = k = 10 N/m

Pulling force = 3 N

resulting length of the spring = ?

using formula

F = k x

F is the force applied

3 = 10 × x

$x = \dfrac{3}{10}$

x = 0.3 m

resulting length of the spring is equal to

L = 2 + x

L = 2 + 0.3

L = 2.3 m

hence, the correct answer is option C

Answer 2

Answer:

2.3 m correct option is (c)

Explanation:

initial length of spring = 2 m

spring constant, k = 10 N/m

Force, F = 3 N

let x be the extension in the spring.

F = k x

3 = 10 x

x = 0.3

Thus, the resulting length of the spring is 2 + 0.3 = 2.3 m