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Ch 04: Newton's Laws of Motion
Young & Freedman Calc - University Physics 14th Edition
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610당신이 사용하는 게 아니라요?교과서 변경
4장, 문제 9

A box rests on a frozen pond, which serves as a frictionless horizontal surface. If a fisherman applies a horizontal force with magnitude 48.048.0 N to the box and produces an acceleration of magnitude 2.202.20 m/s2, what is the mass of the box?

검증된 단계별 안내
1
Step 1: Identify the given values from the problem. The horizontal force applied to the box is 48.0 N, and the acceleration produced is 2.20 m/s². The surface is frictionless, so no other forces oppose the motion.
Step 2: Recall Newton's Second Law of Motion, which states that the net force acting on an object is equal to the product of its mass and acceleration: F=ma. Here, F is the force, m is the mass, and a is the acceleration.
Step 3: Rearrange the formula to solve for the mass of the box. Divide both sides of the equation by the acceleration: m=Fa.
Step 4: Substitute the given values into the formula. Use F=48.0 N and a=2.20 m/s².
Step 5: Perform the division to calculate the mass. The result will give the mass of the box in kilograms (kg).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m
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주요 개념

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

Newton's Second Law of Motion

Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This relationship is expressed by the formula F = ma, where F is the net force, m is the mass, and a is the acceleration. In this scenario, the fisherman applies a force to the box, causing it to accelerate, allowing us to calculate the mass.
추천 영상:
06:54
Intro to Forces & Newton's Second Law

Frictionless Surface

A frictionless surface is an idealized concept where no frictional forces oppose the motion of an object. In this case, the box rests on a frozen pond, which allows it to move freely when a force is applied. This simplification means that all the applied force contributes to the acceleration of the box, making calculations straightforward.
추천 영상:
09:18
Equipotential Surfaces

Mass

Mass is a measure of the amount of matter in an object, typically measured in kilograms. It is a scalar quantity that does not change regardless of the object's location. In the context of this problem, knowing the mass of the box is essential for understanding how it responds to the applied force and calculating its value using the relationship defined by Newton's Second Law.
추천 영상:
20:32
Mass Spectrometers
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