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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 21

World-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has magnitude 1515 m/s2. How much horizontal force must a 55 55-kg sprinter exert on the starting blocks to produce this acceleration? Which body exerts the force that propels the sprinter: the blocks or the sprinter herself?

검증된 단계별 안내
1
Step 1: Begin by identifying the relationship between force, mass, and acceleration using Newton's Second Law of Motion, which is expressed as F=ma. Here, F is the force, m is the mass, and a is the acceleration.
Step 2: Substitute the given values into the formula. The mass of the sprinter is 55 kg, and the acceleration is 15 m/s2. The equation becomes F=55×15.
Step 3: Perform the multiplication to calculate the force. This will give the horizontal force exerted by the sprinter on the starting blocks.
Step 4: Address the second part of the question: The force that propels the sprinter forward is exerted by the starting blocks. According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. The sprinter pushes against the blocks, and the blocks push back with an equal and opposite force, propelling the sprinter forward.
Step 5: Conclude by emphasizing the importance of understanding Newton's laws in analyzing motion and forces. The sprinter's ability to accelerate depends on the reaction force provided by the blocks, which is a direct consequence of the sprinter's action force.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
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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 force acting on an object is equal to the mass of that object multiplied by its acceleration (F = ma). This principle is crucial for understanding how the sprinter's mass and the desired acceleration relate to the force she must exert on the starting blocks.
추천 영상:
가이드 코스
06:54
Intro to Forces & Newton's Second Law

Friction and Force Interaction

Friction is the force that opposes the relative motion of two surfaces in contact. In this scenario, the sprinter exerts a force against the blocks, and the friction between her shoes and the blocks allows her to accelerate. The interaction between these forces determines how effectively she can push off the blocks.
추천 영상:
가이드 코스
08:11
Static Friction & Equilibrium

Action and Reaction Forces

According to Newton's Third Law, for every action, there is an equal and opposite reaction. When the sprinter pushes against the starting blocks, she exerts a force on them, and in response, the blocks exert an equal force back on her. This reaction force is what propels her forward.
추천 영상:
가이드 코스
08:01
Newton's Third Law & Action-Reaction Pairs
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