# What Is Power? | Physics in Motion

TLDRThis script from 'Physics In Motion' explores the concept of power in physics, emphasizing its relationship with work and time. It explains that power, measured in Watts, is the amount of work done per unit of time. The script uses relatable examples like cars accelerating and different types of light bulbs to illustrate the concept. It also discusses how power can be calculated using the formula power = force x velocity and applies this to a practical scenario of a car's acceleration. The segment concludes with a challenge problem, encouraging viewers to apply their newfound knowledge.

###### Takeaways

- π Work in physics is a change in energy, done when a force displaces or moves an object.
- β±οΈ The time taken to do work is as important as the amount of work done, as exemplified by car acceleration times.
- π Power in physics is defined as the amount of work done in a given amount of time.
- π Work is measured in Joules and time in seconds, leading to the derived unit of power, the Watt (W).
- π‘ Different light bulbs use varying amounts of Watts, with LEDs being more efficient than incandescents and CFLs.
- βοΈ Human power can be converted into electrical power, as demonstrated by a hand crank generating Watts.
- ποΈ The power used by objects, like cars, depends on various conditions including velocity and road conditions.
- π In America, Horsepower is used instead of Watts for motorized engines, with 1 Horsepower equaling 745.7 Watts.
- π§ Combining the equations for work and power allows us to express power as the product of force and velocity.
- π To increase power, one can increase the force exerted by an object or increase its velocity.
- π The example of a car accelerating from 0 to 27 m/s in 5 seconds demonstrates how to calculate power using the given mass, final velocity, initial velocity, and time.

###### Q & A

### What is the definition of work in physics?

-In physics, work is defined as a change in energy that occurs when a force displaces or moves an object.

### Why is the duration of work important?

-The duration of work is important because it can be just as significant as the amount of work done, affecting the rate at which work is performed.

### How is power related to work and time?

-Power is the amount of work done in a given amount of time, effectively serving as a rate of doing work.

### What is the unit of power in the International System of Units (SI)?

-The unit of power in the SI system is the Watt, symbolized by 'W'.

### How much power does an incandescent light bulb typically use?

-An older style incandescent light bulb typically uses about 60 Watts of power, which is equivalent to 60 Joules of energy per second.

### What is the relationship between force, velocity, and power?

-Power is equal to the force times the velocity (P = F Γ v), showing that power is directly proportional to both the force exerted and the velocity of the object.

### How can one calculate the force exerted by an object?

-The force exerted by an object can be calculated using the equation force equals mass times acceleration (F = m Γ a).

### What is the acceleration of a 1,000.00 kg car that accelerates from 0 to 27.0 m/s in 5.00 seconds?

-The acceleration can be found by rearranging the equation for final velocity (v = u + a Γ t), resulting in an acceleration of 5.4 m/sΒ².

### How much power is used by a 1,000.00 kg car accelerating from 0 to 27.0 m/s in 5.00 seconds?

-The car uses 145,800 Watts or 195.5 Horsepower, calculated by multiplying the force (5,400 Newtons) by the final velocity (27 m/s).

### What is Horsepower in terms of Watts?

-One Horsepower is equivalent to 745.7 Watts.

### How does power manifest in our daily lives?

-Power is all around us in our daily lives, from the energy we burn just by being alive to the energy consumption of various devices and vehicles.

### What additional resources are available for learning physics?

-For more practice problems, lab activities, and note-taking guides, one can check out the 'Physics In Motion' toolkit.

###### Outlines

##### π‘ Understanding Power in Physics

This segment introduces the concept of power in physics, illustrating it through practical examples and the equation that defines power as work done over a certain period. The video explains that power measures how much work is accomplished in a given time frame, using examples such as cars accelerating and different light bulbs operating at various wattages to convey how power is utilized in everyday scenarios. It further explores the conversion of mechanical power into electrical power through a hand crank demonstration, emphasizing power's omnipresence in human activities and natural phenomena. The concept of horsepower is introduced as a unit of power commonly used in the United States, particularly for motorized engines, explaining its relation to watts. Finally, the video presents an equation relating power to force and velocity, offering a challenge to solve for the power used by a car during acceleration, thereby reinforcing the lesson's key points through practical application.

##### π Summarizing Power in Physics

The concluding segment of the video script reinforces the concept of power as the rate at which work is done, energy is used, transferred, or transformed. It recaps the main themes explored throughout the video, such as the practical applications of power in daily life and its importance in understanding physical phenomena. The segment also mentions additional resources available through the "Physics In Motion" toolkit, which includes practice problems, lab activities, and note-taking guides, encouraging further exploration of the topic. This final part serves to summarize and conclude the discussion on power in physics, highlighting its significance both in theoretical contexts and real-world applications.

###### Mindmap

###### Keywords

##### π‘Work

##### π‘Force

##### π‘Displacement

##### π‘Power

##### π‘Velocity

##### π‘Acceleration

##### π‘Joule

##### π‘Watt

##### π‘Horsepower

##### π‘Incandescent Light Bulb

##### π‘Compact Fluorescent Light Bulb (CFL)

##### π‘Light Emitting Diode (LED) Bulb

###### Highlights

Work in physics is a change in energy, done when a force displaces or moves an object.

The duration of work is as important as the amount of work done.

A car's acceleration time from 0 to 60 mph can indicate the power of its engine.

Power in physics is defined as the amount of work done in a given time.

Work is measured in Joules and time in seconds.

Watt, with a capital W, is the derived unit for power.

An incandescent light bulb uses about 60 Watts, while a CFL bulb uses 15 Watts for the same brightness.

An LED bulb uses only 12 Watts for the same brightness as incandescent and CFL bulbs.

Humans can turn mechanical power into electrical power using a hand crank, producing 4-8 Watts.

Power is all around us, even in our biological processes, burning Watts just by being alive.

In America, Horsepower is used instead of Watts for motorized engines, with 1 Horsepower equaling 745.7 Watts.

Combining work and power equations leads to the formula: Power = force times displacement divided by time, which simplifies to Power = force times velocity.

Increasing force or velocity can lead to an increase in power.

A 1,000 kg car accelerating from 0 to 27 m/s in 5 seconds uses 145,800 Watts or 195.5 Horsepower.

Power is the amount of work done in a given time and the rate at which energy is used, transferred, or transformed.

###### Transcripts

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