Question

A 5 -kg cannonball acts as a piston in a cylinder with a diameter of $0.15 \mathrm{~m}$. As the gunpowder is burned, a pressure of $7 \mathrm{MPa}$ is created in the gas behind the ball. What is the acceleration of the ball if the cylinder (cannon) is pointing horizontally?

Name: Problem 53, Chapter 1: Fundamentals of Thermodynamics
Uploaded: 2022-01-29T22:55:45-08:00
Duration: 1 min 31 s
Channel: Mahnoor Khan
Description: A 5 -kg cannonball acts as a piston in a cylinder with a diameter of 0.15 m. As the gunpowder is burned, a pressure of 7 MPa is created in the gas behind the ball. What is the acceleration of the ball if the cylinder (cannon) is pointing horizontally?

   A 5 -kg cannonball acts as a piston in a cylinder with a diameter of $0.15 \mathrm{~m}$. As the gunpowder is burned, a pressure of $7 \mathrm{MPa}$ is created in the gas behind the ball. What is the acceleration of the ball if the cylinder (cannon) is pointing horizontally?

Fundamentals of Thermodynamics

Claus Borgnakke,… 8th Edition

Chapter 1, Problem 53

Instant Answer

Solved by Expert Mahnoor Khan

01/29/2022

Step 1

Given that 1 MPa = 1000 kPa, we have: \[ P = 7 \, \text{MPa} = 7000 \, \text{kPa} \] Show more…

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A 5 -kg cannonball acts as a piston in a cylinder with a diameter of $0.15 \mathrm{~m}$. As the gunpowder is burned, a pressure of $7 \mathrm{MPa}$ is created in the gas behind the ball. What is the acceleration of the ball if the cylinder (cannon) is pointing horizontally?

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Key Concepts

Pressure

Pressure is a measure of force per unit area exerted on a surface. In physics, it is used to quantify the intensity with which a force is applied over a specific area, and is fundamental in determining how gases and fluids interact with their containers or surroundings.

Force

Force is the interaction that causes an object to change its velocity. It is calculated by multiplying the pressure applied by the area over which it acts. This fundamental relationship allows us to determine the net force exerted on an object when the pressure and surface area are known.

Newton's Second Law of Motion

Newton's Second Law of Motion states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). This law provides the basis for calculating the acceleration of an object when a known force is applied, making it essential for understanding and predicting the motion of objects under various forces.

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