It takes the elevator in a skyscraper 4.0 s to reach its cruising speed of 10 m/s. A 60 kg passenger gets aboard on the ground floor. What is the passenger's weight before the elevator starts moving?

검증된 단계별 안내

Determine the passenger's weight before the elevator starts moving. Weight is the force due to gravity acting on the passenger, which is calculated using the formula:

W = m g

, where

m

is the mass of the passenger and

g

is the acceleration due to gravity.

Substitute the given values into the formula. The mass of the passenger is

60

kg, and the acceleration due to gravity is approximately

9.8

m/s².

Perform the multiplication:

W = 60 \times 9.8

. This will give the weight of the passenger in newtons (N).

Since the elevator has not started moving yet, there are no additional forces acting on the passenger other than gravity. Therefore, the calculated weight is the passenger's weight before the elevator starts moving.

Conclude that the passenger's weight before the elevator starts moving is solely determined by the gravitational force acting on their mass.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

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

Weight

Weight is the force exerted by gravity on an object, calculated as the product of mass and the acceleration due to gravity. It is given by the formula W = mg, where W is weight, m is mass, and g is approximately 9.81 m/s² on the surface of the Earth. For a 60 kg passenger, their weight can be determined by multiplying their mass by the gravitational acceleration.

Mass

Mass is a measure of the amount of matter in an object, typically measured in kilograms. Unlike weight, mass does not change regardless of the object's location in the universe. It is a scalar quantity and is fundamental in determining the weight of an object when combined with the acceleration due to gravity.

Gravitational Acceleration

Gravitational acceleration is the acceleration experienced by an object due to the force of gravity. On Earth, this value is approximately 9.81 m/s², meaning that an object will accelerate downwards at this rate if in free fall. This constant is crucial for calculating weight, as it directly influences the force exerted on an object's mass.