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Ch.10 - Gases
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 15th EditionCh.10 - Gases문제 16
10장, 문제 16

A set of bookshelves rests on a hard floor surface on four legs, each having a cross-sectional dimension of 3.0×4.1 cm in contact with the floor. The total mass of the shelves plus the books stacked on them is 262 kg. Calculate the pressure in pascals exerted by the shelf footings on the surface.

검증된 단계별 안내
1
Convert the cross-sectional dimensions of each leg from centimeters to meters by dividing each dimension by 100.
Calculate the area of contact for one leg by multiplying the converted dimensions (in meters).
Multiply the area of one leg by 4 to find the total contact area for all four legs.
Calculate the force exerted by the shelves using the formula: Force (N) = mass (kg) × acceleration due to gravity (9.8 m/s²).
Determine the pressure exerted by dividing the total force by the total contact area, using the formula: Pressure (Pa) = Force (N) / Area (m²).

비슷한 문제에 대한 검증된 영상 답변:

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

주요 개념

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

Pressure

Pressure is defined as the force exerted per unit area. In the context of this question, it is calculated using the formula P = F/A, where P is pressure, F is the force (in this case, the weight of the bookshelves), and A is the area of contact with the floor. Understanding this concept is crucial for determining how the weight of the shelves translates into pressure on the floor.
추천 영상:
가이드 코스
01:15
Pressure Units

Force and Weight

Force is a vector quantity that causes an object to accelerate, and weight is the force exerted by gravity on an object. The weight of the bookshelves can be calculated using the formula W = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.81 m/s²). This concept is essential for finding the total force acting on the floor, which is necessary for calculating pressure.
추천 영상:
가이드 코스
06:44
Types of Intermolecular Forces

Area of Contact

The area of contact refers to the surface area over which a force is distributed. In this scenario, the area is determined by the cross-sectional dimensions of the legs of the bookshelf. The area can be calculated by multiplying the width and height of the leg's cross-section. This concept is important because it directly influences the pressure exerted on the floor; a larger area results in lower pressure for the same force.
추천 영상:
가이드 코스
03:47
Perimeter, Area, Volume
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