physics

posted by .

Sir Robert Hooke (1635-1703), studied the elastic properties of springs and formulated the law that bears his name. Hooke found the relationship among the force a spring exerts, F, the distance from equilibrium the end of the spring is displaced, x, and a number k called the spring constant (or, sometimes, the force constant of the spring). According to Hooke, the force of the spring is directly proportional to its displacement from equilibrium: F=-kx. The negative sign indicates that the force that the spring exerts and its displacement have opposite directions.

So, here is the funny question for you. You create a baby bouncer using an elastic cord (consider it to be a spring). Use Hooke's law to determine how far the spring would stretch downward once the baby is placed in the seat, if the spring constant k = 500 N/m, and the baby has a mass m = 11 kg. Hint: weight of the baby (gravitational force on it) is the force exerted on the spring. In equilibrium (when baby is at rest) it's magnitude becomes equal to the elastic force exerted by the spring on baby: F_g = F_e.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. PHYSICS!!!

    Hooke's law describes a certain light spring of unstressed length 36.0 cm. When one end is attached to the top of a door frame and a 6.40 kg object is hung from the other end, the length of the spring is 44.00 cm. (a) Find its spring …
  2. physics

    A 7000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a combination of two coiled springs as illustrated in the figure below. Both springs are described by Hooke's law and have spring constants …
  3. Physics

    The force required to stretch a Hooke’s-law spring varies from 0 N to 70.4 N as we stretch the spring by moving one end 5.35 cm from its unstressed position. Find the force constant of the spring. Answer in units of N/m
  4. physics

    The force required to stretch a Hooke’s-law spring varies from 0 N to 68.1 N as we stretch the spring by moving one end 16.2 cm from its unstressed position. Find the work done in stretching the spring
  5. Physics

    The force required to stretch a Hooke’s-law spring varies from 0 N to 63.5 N as we stretch the spring by moving one end 5.31 cm from its unstressed position. Find the force constant of the spring. Answer in units of N/m
  6. physics

    1)An elastic material has a length of 36cm when a load of 40N is hung on it and a length of 45cm when a load of 60N is hung on it. The original length of spring is?
  7. 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 …
  8. Math Problem (please 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 …
  9. physics help!

    Two springs P and Q both obey Hooke’s law. They have spring constants 2k and k respectively.The springs are stretched, separately, by a force that is gradually increased from zero up to a certain maximum value, the same for each …
  10. PHYSICS

    Hooke's Law: 1.) If it takes 10 N to compress a spring 20cm, how much energy will be stored in the spring when it is stretched 50cm. ***Also, for ex: If I am doing work against a restoring force, say, doing work against gravity, what …

More Similar Questions