Crates and sit at rest side by side on a frictionless horizontal surface. They have masses and , respectively. When a horizontal force is applied to crate , the two crates move off to the right. Draw clearly labeled free-body diagrams for crate and for crate . Indicate which pairs of forces, if any, are third-law action–reaction pairs.
Ch 04: Newton's Laws of Motion
4장, 문제 27b
A ball is hanging from a long string that is tied to the ceiling of a train car traveling eastward on horizontal tracks. An observer inside the train car sees the ball hang motionless. Draw a clearly labeled free-body diagram for the ball if the train is speeding up uniformly. Is the net force on the ball zero in either case? Explain.
검증된 단계별 안내1
Step 1: Begin by identifying the forces acting on the ball. The ball is subject to two primary forces: (1) the gravitational force acting downward, which is the weight of the ball, and (2) the tension force in the string, which acts along the string and keeps the ball suspended.
Step 2: Consider the scenario where the train is speeding up uniformly. In this case, the train is accelerating eastward. Due to this acceleration, the ball will experience a pseudo-force (inertial force) directed westward relative to the train's frame of reference. This pseudo-force arises because the train is a non-inertial reference frame.
Step 3: Draw the free-body diagram for the ball. Represent the gravitational force as a downward arrow labeled \( F_g = m g \), where \( m \) is the mass of the ball and \( g \) is the acceleration due to gravity. Represent the tension force as an arrow along the string, angled slightly westward to counteract the pseudo-force. Label the pseudo-force as \( F_p = m a \), where \( a \) is the acceleration of the train.
Step 4: Analyze the net force on the ball. The ball is motionless relative to the train, meaning it is in equilibrium in the train's frame of reference. The tension force in the string has both vertical and horizontal components. The vertical component of the tension balances the gravitational force, and the horizontal component balances the pseudo-force. Thus, the net force on the ball is zero in the train's frame of reference.
Step 5: Conclude that the net force on the ball is not zero in the inertial (ground) frame of reference because the ball is accelerating eastward along with the train. However, in the train's non-inertial frame, the net force is zero because the pseudo-force balances the horizontal component of the tension.

비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
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주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Free-Body Diagram
A free-body diagram is a graphical representation used to visualize the forces acting on an object. In this case, it would illustrate the gravitational force acting downward on the ball and the tension in the string acting upward. This diagram helps in analyzing the net force and understanding the motion of the object.
추천 영상:
가이드 코스
Free-Body Diagrams
Net Force
The net force is the vector sum of all the forces acting on an object. It determines the object's acceleration according to Newton's second law (F=ma). If the net force is zero, the object remains in its current state of motion; if not, it will accelerate in the direction of the net force.
추천 영상:
가이드 코스
Finding Net Forces in 2D Gravitation
Inertial Reference Frame
An inertial reference frame is a frame of reference in which an object either remains at rest or moves at a constant velocity unless acted upon by a net external force. In the context of the train accelerating, the observer inside the train experiences a pseudo-force due to the acceleration, affecting the perceived forces on the ball.
추천 영상:
가이드 코스
Inertial Reference Frames
관련 실천
교과서 질문
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교과서 질문
Boxes and are in contact on a horizontal, frictionless surface (Fig. E). Box has mass kg and box has mass kg. A horizontal force of N is exerted on box . What is the magnitude of the force that box exerts on box ?
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교과서 질문
World-class sprinters can accelerate out of the starting blocks with an acceleration that is nearly horizontal and has magnitude m/s2. How much horizontal force must a -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?
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