Practice: A 1.0 m-long spring is laid horizontally with one of its ends fixed. When you pull on it with 50 N, it stretches to 1.2 m. (a) What is the spring’s force constant (b) How much force is needed to compress it to 0.7 m?

Subjects

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Spring Force (Hooke's Law) | 15 mins | 0 completed | Learn |

Intro to Simple Harmonic Motion (Horizontal Springs) | 32 mins | 0 completed | Learn |

Energy in Simple Harmonic Motion | 22 mins | 0 completed | Learn |

Simple Harmonic Motion of Vertical Springs | 20 mins | 0 completed | Learn |

Simple Harmonic Motion of Pendulums | 32 mins | 0 completed | Learn |

Energy in Pendulums | 16 mins | 0 completed | Learn |

Practice: A 1.0 m-long spring is laid horizontally with one of its ends fixed. When you pull on it with 50 N, it stretches to 1.2 m. (a) What is the spring’s force constant (b) How much force is needed to compress it to 0.7 m?

Practice: You push a 3-kg mass against a spring and release it from rest. Its maximum acceleration is 10m/s<sup2></sup> when pushed back 0.5m. What is the (a)spring constant and (b) restoring force at this point?

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Concept #1: Spring Force (Hooke's Law)

Practice #1: Practice

Concept #2: Acceleration of Mass-Spring Systems

Practice #2: Practice

Which of the graphs in the figure illustrates Hooke's Law?

Determine the un-stretched length of DB to hold the 40kg crate in the position shown. Take k = 180N/m

Consider the force exerted by a spring that obeys Hooke's law. FindU(xf)-U(x0)=∫x0xfFs→·ds→,whereF→s=-kxi^, ds→=dxi^and the spring constant k is positive.Express your answer in terms of k, x0, and xf.

One type of BB gun uses a spring-driven plunger to blow the BB from its barrel.A. Calculate the force constant of its plunger's spring if you must compress it to 0.150 m to drive the 0.0500-kg plunger to a top speed of 20.0 m/s.B. What force must be exerted to compress the spring?

Two springs with spring constants k1 and k2 are connected in parallel, as shown in Fig. 4.18. What is the effective spring constant, keff? In other words, if the mass is displaced by x, find the keff for which the force equals F = -keffx.

Two springs with spring constants k1 and k2 are connected in series, as shown in Fig. 4.19. What is the effective spring contant, keff?

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