Ch. 08 - Conservation of Energy

Giancoli Douglas - Physics for Scientists and Engineers 5th edition

Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179당신이 사용하는 게 아니라요?교과서 변경

Giancoli Douglas 5th edition

Ch. 08 - Conservation of Energy

문제 1

8장, 문제 1

By how much does the gravitational potential energy of a 58-kg pole vaulter change if her center of mass rises 4.0 m during the jump?

검증된 단계별 안내

Identify the formula for gravitational potential energy, which is given by:

U = m g h

, where

U

is the gravitational potential energy,

m

is the mass,

g

is the acceleration due to gravity, and

h

is the height.

Determine the change in gravitational potential energy, which is given by the formula:

ΔU = m g Δh

, where

Δh

is the change in height.

Substitute the given values into the formula:

m = 58

kg,

g = 9.8

m/s² (standard acceleration due to gravity), and

Δh = 4.0

Perform the multiplication:

ΔU = 58 × 9.8 × 4.0

. This will give the change in gravitational potential energy in joules (J).

Conclude that the result represents the increase in gravitational potential energy as the pole vaulter's center of mass rises by 4.0 m.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

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

Gravitational Potential Energy

Gravitational potential energy (GPE) is the energy an object possesses due to its position in a gravitational field. It is calculated using the formula GPE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.81 m/s² on Earth), and h is the height above a reference point. In this context, the pole vaulter's change in height directly affects her GPE.

Mass

Mass is a measure of the amount of matter in an object, typically measured in kilograms (kg). In the context of the question, the mass of the pole vaulter (58 kg) is a crucial factor in determining the change in gravitational potential energy as she rises. The greater the mass, the more gravitational potential energy is associated with a given height.

Height Change

Height change refers to the vertical distance an object moves in a gravitational field. In this scenario, the pole vaulter's center of mass rises by 4.0 m, which is essential for calculating the change in gravitational potential energy. The height change directly influences the GPE, as a higher elevation results in greater potential energy.