Ch 06: Dynamics I: Motion Along a Line

Knight Calc - Physics for Scientists and Engineers 5th Edition

Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796당신이 사용하는 게 아니라요?교과서 변경

Knight Calc 5th Edition

Ch 06: Dynamics I: Motion Along a Line

문제 17a

6장, 문제 17a

A woman has a mass of 55 kg. What is her weight while standing on earth?

검증된 단계별 안내

Step 1: Understand the relationship between weight and mass. Weight is the force exerted on an object due to gravity and is calculated using 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 given values in the problem. The mass of the woman is

55

kg, and the acceleration due to gravity on Earth is approximately

9.8 m / s^{2}

Step 3: Substitute the given values into the formula for weight. Replace

m

with

55

kg and

g

with

9.8 m / s^{2}

in the formula

W = m g

Step 4: Perform the multiplication to calculate the weight. Multiply

55

kg by

9.8 m / s^{2}

Step 5: Express the result in units of Newtons (N), as weight is a force. The unit of force in the International System of Units (SI) is the Newton, which is equivalent to

kg m / s^{2}

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Weight

Weight is the force exerted on an object due to gravity. It is calculated using the formula W = mg, where W is weight, m is mass, and g is the acceleration due to gravity, which is approximately 9.81 m/s² on Earth. Thus, weight is dependent on both the mass of the object and the gravitational field strength.

Mass

Mass is a measure of the amount of matter in an object, typically measured in kilograms (kg). Unlike weight, mass does not change regardless of the object's location in the universe. It is a scalar quantity and is fundamental in determining the weight of an object when combined with the gravitational acceleration.

Gravitational Acceleration

Gravitational acceleration is the acceleration experienced by an object due to the force of gravity. On the surface of the Earth, this value is approximately 9.81 m/s². This constant is crucial for calculating weight, as it represents the strength of the gravitational pull acting on the mass of an object.