Part A A box of mass 10 kg slides along a frictionless surface with a velocity of v= 5.0 m/s and hits a spring with a spring constant of k = 900 N/m. The spring compresses to a distance x when the box's velocity reaches zero. How far does the spring compress? Express your answer with the appropriate units.

Part A A box of mass 10 kg slides along a frictionless surface with a velocity of v= 5.0 m/s and hits a spring with a spring constant of k = 900 N/m. The spring compresses to a distance x when the box's velocity reaches zero. How far does the spring compress? Express your answer with the appropriate units.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 27P: A 6 000-kg freight car rolls along rails with negligible friction. The car is brought to rest by a...

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A 6 000-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 Figure P6.27 (page 188). Both springs are described by Hookes law and have spring constants k1 = 1 600 N/m and k2, = 3 400 N/m. After the first spring compresses a distance of 30.0 cm, the second spring acts with the first to increase the force as additional compression occurs as shown in the graph. The car comes to rest 50.0 cm after first contacting the two-spring system. Find the cars initial speed.
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There is a compressed spring between two laboratory carts of masses m1 and m2. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity v1 in the positive x direction (Fig. P10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart spring system? b. Find an expression for the velocity of cart 2. c. Sometimes, mistakes are made in a laboratory. For example, what changes in parts (a) and (b) if the track is not level as shown in Figure P10.40C? Explain your answer.
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Q1: A metal block of mass M is attached to a spring of negligible mass and elastic constant k, as shownin Fig. 1(a), and is free to slide on a frictionless horizontal surface. A clay ball of mass M/4 isis fired at the block with velocity V , and is attached to it as shown. The block is initially at rest andThe spring is initially relaxed.(a) What is the velocity of the block + ball immediately after impact?(b) Conceptual discussion - Is energy conserved? If yes, justify, if no, calculate∆K/Ki and explain what happened to the energy.(c) What will be the maximum compression of the block as a function of the variables in the statement?