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).

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
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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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). 

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