Ch 10: Interactions and Potential Energy

Knight Calc - Physics for Scientists and Engineers 5th Edition

Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796당신이 사용하는 게 아니라요?교과서 변경

Knight Calc 5th Edition

Ch 10: Interactions and Potential Energy

문제 14a

10장, 문제 14a

In a hydroelectric dam, water falls 25 m and then spins a turbine to generate electricity. What is $Δ U_{G}$ of 1.0 kg of water?

검증된 단계별 안내

Step 1: Understand the concept of gravitational potential energy (Ug). Gravitational potential energy is given by the formula:

U g = m g h

, where

m

is the mass of the object,

g

is the acceleration due to gravity, and

h

is the height.

Step 2: Identify the given values in the problem. The mass of the water is

1.0

kg, the height is

25

m, and the acceleration due to gravity is approximately

9.8

m/s².

Step 3: Substitute the given values into the formula for gravitational potential energy. The change in gravitational potential energy,

∆ U g

, is calculated as:

∆ U g = m g h

Step 4: Perform the substitution step explicitly. Replace

m

with

1.0

kg,

g

with

9.8

m/s², and

h

with

25

Step 5: Multiply the values together to find the change in gravitational potential energy. The result will be in joules (J), as gravitational potential energy is measured in joules.

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 (Ug)

Gravitational potential energy (Ug) is the energy an object possesses due to its position in a gravitational field. It is calculated using the formula Ug = mgh, where m is the mass, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height above a reference point. In the context of the hydroelectric dam, the potential energy of the water decreases as it falls, which can be quantified to determine the energy available for conversion into electricity.

Energy Conservation

The principle of energy conservation states that energy cannot be created or destroyed, only transformed from one form to another. In a hydroelectric dam, the gravitational potential energy of the falling water is converted into kinetic energy as it moves downward, and then into mechanical energy as it spins the turbine. This transformation is crucial for understanding how the dam generates electricity from the energy stored in the water.

Work Done by Gravity

The work done by gravity on an object is the energy transferred to or from the object as it moves in the gravitational field. For the falling water in the dam, the work done by gravity can be calculated as the change in gravitational potential energy as the water descends. This work is what ultimately drives the turbine, making it essential to calculate the energy change to determine how much energy is available for electricity generation.

In a hydroelectric dam, water falls 25 m and then spins a turbine to generate electricity. What is ΔUG\(\Delta\) U_{G} of 1.0 kg of water?

비슷한 문제에 대한 검증된 영상 답변:

주요 개념

Gravitational Potential Energy (Ug)

Energy Conservation

Work Done by Gravity

In a hydroelectric dam, water falls 25 m and then spins a turbine to generate electricity. What is $Δ U_{G}$ of 1.0 kg of water?