A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits a spring with stiffness k at the end of the track causing the spring to compress. What is the maximum compression x of the spring?By conservation of energy,K1 + U1 = K2 + U2Some of the terms in the equation above are zero; thus it can be simplified to: = ½m2 = ½xIsolating the compression x,x = ( 2/ )1/2Suppose the mass of the toy car moving at 2.5 m/s is 0.0505 kg and the spring constant is k = 605 N/m, the spring will experience a maximum compression of 0.084 m. QUESTION 6A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits a spring withstiffness k at the end of the track causing the spring to compress. What is the maximum compression x of thespring?By conservation of energy,K1 + U1 = K2 + U2Some of the terms in the equation above are zero; thus it can be simplified to:½m2 = V2Isolating the compression x,X = (2,1/2Suppose the mass of the toy car moving at 2.5 m/s is 0.0505 kg and the spring constant is k= 605 N/m, thespring will experience a maximum compression of 0.084 m.

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Description: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits a spring with stiffness k at the end of the track causing the spring to compress. What is the maximum compression x of the spring?By conservation of

As per the conservation law of energy. Here, E, K, U, m, h, v, k, and x represent the car’s total…

Answered: What is the maximum compression x of…

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v₁. It hits a spring with stiffness k at the end of the track causing the spring to compress. What is the maximum compression x of the spring?

By conservation of energy,

K₁ + U₁ = K₂ + U₂

Some of the terms in the equation above are zero; thus it can be simplified to:

½m² = ½x

Isolating the compression x,

x = ( ²/ )^1/2

Suppose the mass of the toy car moving at 2.5 m/s is 0.0505 kg and the spring constant is k = 605 N/m, the spring will experience a maximum compression of 0.084 m.

QUESTION 6
A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits a spring with
stiffness k at the end of the track causing the spring to compress. What is the maximum compression x of the
spring?
By conservation of energy,
K1 + U1 = K2 + U2
Some of the terms in the equation above are zero; thus it can be simplified to:
½m
2 = V2
Isolating the compression x,
X = (
2,
1/2
Suppose the mass of the toy car moving at 2.5 m/s is 0.0505 kg and the spring constant is k
= 605 N/m, the
spring will experience a maximum compression of 0.0
84 m.

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