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Ch 04: Newton's Laws of Motion
Young & Freedman Calc - University Physics 15th Edition
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552Non è quello che usi tu?Cambia libro di testo
Capitolo 4, Problema 19a

At the surface of Jupiter's moon Io, the acceleration due to gravity is g=1.81g = 1.81 m/s2. A watermelon weighs 44.044.0 N at the surface of the earth. What is the watermelon's mass on the earth's surface?

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1
Step 1: Recall the relationship between weight and mass, which is given by the formula: W=m⁢g, where W is the weight, m is the mass, and g is the acceleration due to gravity.
Step 2: Identify the values provided in the problem. The weight of the watermelon on Earth's surface is 44.0 N, and the acceleration due to gravity on Earth is approximately 9.81 m/s2.
Step 3: Rearrange the formula to solve for mass: m=Wg. Substitute the given values into the equation.
Step 4: Perform the division: Divide the weight of the watermelon (44.0 N) by the acceleration due to gravity on Earth (9.81 m/s2).
Step 5: The result of the division will give the mass of the watermelon on Earth's surface in kilograms (kg).

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Weight and Mass

Weight is the force exerted by gravity on an object, calculated as the product of mass and gravitational acceleration (W = mg). Mass is a measure of the amount of matter in an object and remains constant regardless of location. Understanding the distinction between weight and mass is crucial for solving problems involving gravitational forces.
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Gravitational Acceleration

Gravitational acceleration is the acceleration experienced by an object due to the force of gravity acting on it. On Earth, this value is approximately 9.81 m/s², but it varies on other celestial bodies, such as Jupiter's moon Io, where it is 1.81 m/s². This concept is essential for calculating weight and understanding how it changes with different gravitational fields.
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Newton's Second Law of Motion

Newton's Second Law states that the force acting on an object is equal to the mass of that object multiplied by its acceleration (F = ma). This principle is fundamental in physics for analyzing the relationship between force, mass, and acceleration, and is particularly relevant when calculating weight as a force due to gravity.
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