Physics

To streatch a certain nonlinear spring by an amount 2x requires a force F given by F=40x-6x^2 where F is in newtons and x is in meters. What is the change in potential energy when the spring is stretched 2 meters from its equilibrium position?
a)16 J
b)28 J
c)56 J
d)64 J
e)80 J

P.E. = mgh but how would I relate this to this current problem? Or would the answer just be c) 56 J ( I got this by plugging in 2 for x in the equation)

PE= INT F dx
integrated F dx from zero to 2m.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A spring has a force constant of 100N/m and an unstretched lenght of .07 m. One end is attached to a post that is free to rotate in the center of a smooth table. The other end is attatched to a 1 kg disc moving in uniform circular

  2. Physics

    The force required to stretch a spring varies directly with the amount the spring is stretched. A force of 29 pounds is needed to stretch a spring 39 inches. How much force is required to stretch the spring 27 inches? Answer in

  3. physics

    For a particular nonlinear spring the relationship between the magnitude of the applied for F and the resultant displacement x from equilibrium is given by the equation F=kx^2. What is the amount of work done by stretching the

  4. Physics

    A ball of mass m 5 1.80 kg is released from rest at a height h 5 65.0 cm above a light vertical spring of force constant k as in Figure P5.66a. The ball strikes the top of the spring and compresses it a distance d 5 9.00 cm as in

  1. algebra

    The length a spring stretches is directly proportional to the force applied. If a force of 8 pounds stretches a spring 10 inches, how much force is necessary to stretch the same spring 9 inches?

  2. Physics

    A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The spring has a force constant of 1.64 kN/m. How much is the spring compressed when a object of mass m = 2.35 kg is placed on top of

  3. 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

  4. 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

  1. Physics

    1. A 5 kg weight is hung from a vertical spring. The spring stretches by 5 cm. How much mass should be hung from the spring so it will stretch by 10 cm from its original length? A. 15 kg B. 10 kg C. 20 kg D. 25 kg 2. What is the

  2. physics imperfect spring

    The force required to compress an imperfect horizontal spring an amount x is given by F= 150x+12x^3, where x is in meters and F in newtons. If the spring is compressed 2.1 m, what speed will it give to a 4.0 kg ball held against

  3. Physics

    An ideal spring hangs vertically from the ceiling. When a 1.0 kg mass hangs from the spring it is extended 5.0 cm from its relaxed length. A downward external force is now applied to the mass to extend the spring an additional 10

  4. Algebra

    The table shows the relationship between the number of players on a team and the minutes each player gets to play Players Minutes 7 35 8 30 9 25 10 20 Is the relationship a function that is decreasing or increasing; is the

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