Algebra!!!! HELP

Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring.

A force of 265 newtons stretches a spring 0.15 meter (see figure).
(a) How far will a force of 120 newtons stretch the spring? (Round your answer to two decimal places.)

:m

(b) What force is required to stretch the spring 0.3 meter? (Round your answer to two decimal places.)

:N

  1. 👍
  2. 👎
  3. 👁
  1. Since F=kx, F/x is constant. So,

    (a) 120/x = 265/0.15

    (b) F/0.3 = 265/0.15

    Note that you can answer these questions without even determining the value of k explicitly.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.30 cm. (a) What is the force constant of the spring? (b) If the 2.60-kg object is removed, how far will the spring

  2. Physics

    A force of 800 N stretches a spring a distance 0.200 m horizontally. a) What is the potential energy of the spring when it is stretched 0.200m b) What is its potential energy when it is compressed 5.00cm This is a conservation of

  3. Science

    Can someone help me with this question? A spring has a spring constant of 300 N/m. Find the magnitude of the force needed to compress the spring by 0.03 m. Hint: Use Hooke’s law. The restoring force of an ideal spring is F=-kx,

  4. physics

    A block with mass m = 17 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4201 N/m after being compressed a distance x1 = 0.556 m from the spring’s unstretched length. The floor is

  1. math

    Hooke's Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 64cm when the weight is 3kg, what is the distance when the wight is 9kg?

  2. physics

    A light spring with spring constant 1 200 N/m is hung from an elevated support. From its lower end hangs a second light spring, which has spring constant 1 800 N/m. An object of mass 1.50 kg is hung at rest from the lower end of

  3. algebra

    The force exerted on a spring is proportional to the distance the spring is stretched from its relaxed position. Suppose you stretch a spring a distance of d inches by applying a force of F pounds. For your spring, d/F = 0.8. You

  4. physics

    A block with mass m = 17 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4201 N/m after being compressed a distance x1 = 0.556 m from the spring’s unstretched length. The floor is

  1. Physics

    Hooke's law states that the distance, d, a string is stretched varies directly with the force, F, applied to the spring. If a force of 12 pounds stretches a spring 3 inches, how far will the spring stretch when a force of 30

  2. algebra

    hooke's law the distance d when a spring is stretched by a hanging object. if the distance is 14cm when the weight is 4kg what is the distance when the weight is 9kg The distance is

  3. physics

    A single mass (m1 = 3.1 kg) hangs from a spring in a motionless elevator. The spring constant is k = 338 N/m. 1. What is the distance the spring is stretched from its unstretched length? 2. Now, three masses (m1 = 3.1 kg, m2 = 9.3

  4. Physics

    A spiral spring is compressed so as to add U units of potential energy to it. When this spring is instead stretched two-thirds of the distance it was compressed, its remaining potential energy in the same units will be a. 2U/3 b.

You can view more similar questions or ask a new question.