Most plastics are manufactured into their final shapes using injection molding, where solid plastic pellets are melted and then pushed into a mold. In some injection molding machines, the heating is accomplished entirely by stirring the pellets. Alternatively, you could melt the pellets by shooting a single large projectile into the vat of pellets. The energy of the projectile in motion will be absorbed by the pellets, thereby increasing the temperature of the pellets, as the object comes to a stop within the vat. Suppose the vat contains 4.5 kilograms [kg] of plastic that has a specific heat of 3 joules per gram kelvin [JgK]. The plastic requires heating from room temperature of 70 degrees Fahrenheit [∘F] up to 500 degrees Fahrenheit [∘F]. The available projectile has a weight of 50 newtons [N]. Determine the velocity in meters per second [ms]at which the projectile must be shot into the vat to raise the temperature of the plastic by the required amount. Express the answer in scientific notation (Z.Z x 10Z).

College Physics
11th Edition
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)...
icon
Related questions
icon
Concept explainers
Question

Most plastics are manufactured into their final shapes using injection molding, where solid plastic pellets are melted and then pushed into a mold. In some injection molding machines, the heating is accomplished entirely by stirring the pellets.

Alternatively, you could melt the pellets by shooting a single large projectile into the vat of pellets. The energy of the projectile in motion will be absorbed by the pellets, thereby increasing the temperature of the pellets, as the object comes to a stop within the vat.

Suppose the vat contains 4.5 kilograms [kg] of plastic that has a specific heat of 3 joules per gram kelvin [JgK].

The plastic requires heating from room temperature of 70 degrees Fahrenheit [∘F] up to 500 degrees Fahrenheit [∘F].

The available projectile has a weight of 50 newtons [N].

Determine the velocity in meters per second [ms]at which the projectile must be shot into the vat to raise the temperature of the plastic by the required amount.

Express the answer in scientific notation (Z.Z x 10Z). 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Energy transfer
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON