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Ch 03: Motion in Two or Three Dimensions
Young & Freedman Calc - University Physics 14th Edition
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Young & Freedman Calc 14th EditionCh 03: Motion in Two or Three Dimensions문제 9a
3장, 문제 9a

A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor in 0.480 s. Ignore air resistance. Find the height of the tabletop above the floor.

검증된 단계별 안내
1
Identify the known values: initial horizontal speed \( v_x = 1.10 \text{ m/s} \) and time \( t = 0.480 \text{ s} \).
Recognize that the vertical motion is independent of the horizontal motion. The book falls freely under gravity, so use the formula for vertical displacement: \( h = \frac{1}{2} g t^2 \), where \( g \) is the acceleration due to gravity \( 9.81 \text{ m/s}^2 \).
Substitute the known values into the formula: \( h = \frac{1}{2} \times 9.81 \text{ m/s}^2 \times (0.480 \text{ s})^2 \).
Calculate the expression inside the parentheses first: \( (0.480 \text{ s})^2 \).
Multiply the result by \( \frac{1}{2} \times 9.81 \text{ m/s}^2 \) to find the height \( h \).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m
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주요 개념

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

Kinematics in One Dimension

Kinematics is the study of motion without considering the forces that cause it. In this problem, we use the kinematic equations to determine the vertical motion of the book. The key equation is h = 0.5 * g * t^2, where h is the height, g is the acceleration due to gravity (9.81 m/s²), and t is the time (0.480 s).
추천 영상:
가이드 코스
08:29
Kinematics in 2D

Free Fall

Free fall describes the motion of an object under the influence of gravitational force only. In this scenario, the book falls freely after leaving the tabletop, meaning its vertical motion is solely affected by gravity. This allows us to use the kinematic equations for free-falling objects to find the height of the tabletop.
추천 영상:
가이드 코스
08:36
Vertical Motion & Free Fall

Independence of Motion

The principle of independence of motion states that horizontal and vertical motions are independent of each other. In this problem, the horizontal speed of the book (1.10 m/s) does not affect its vertical fall. Thus, we can separately analyze the vertical motion to find the height of the tabletop using the time it takes to hit the floor.
추천 영상:
가이드 코스
09:57
Motional EMF
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