Dimas Reads That It Takes 270 N To Lift A Firefighter's Equipment. If A Firefighter Does 5400 J Of Work Carrying The Equipment Up A Staircase, How High Does The Firefighter Climb? (Work: { W = Fd $}$)A. 20 M B. 200 M C. 5130 M D.

Introduction

In physics, work is a fundamental concept that describes the transfer of energy from one object to another through a force applied over a distance. The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. In this article, we will explore the relationship between work, force, and distance, and use a real-world scenario to demonstrate how to calculate the height climbed by a firefighter carrying equipment up a staircase.

The Work Formula

The work formula is given by:

$$W = Fd$$

where:

• $W$ is the work done in joules (J)
• $F$ is the force applied in newtons (N)
• $d$ is the distance over which the force is applied in meters (m)

Given Information

Dimas reads that it takes 270 N to lift a firefighter's equipment. If a firefighter does 5400 J of work carrying the equipment up a staircase, how high does the firefighter climb?

Step 1: Identify the Given Values

• $W = 5400$ J
• $F = 270$ N

Step 2: Rearrange the Work Formula to Solve for Distance

To find the distance climbed by the firefighter, we need to rearrange the work formula to solve for $d$. We can do this by dividing both sides of the equation by $F$:

$$d = \frac{W}{F}$$

Step 3: Plug in the Given Values

Now that we have the rearranged formula, we can plug in the given values:

$$d = \frac{5400}{270}$$

Step 4: Calculate the Distance

To find the distance climbed by the firefighter, we can calculate the value of $d$:

$$d = 20$$

Conclusion

Therefore, the firefighter climbs a height of 20 m carrying the equipment up a staircase.

Discussion

This problem demonstrates the relationship between work, force, and distance. By using the work formula, we can calculate the distance climbed by the firefighter carrying the equipment up a staircase. This is a real-world application of the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.

Answer

The correct answer is A. 20 m.

Additional Examples

Here are a few additional examples to demonstrate the relationship between work, force, and distance:

• A person pushes a box with a force of 100 N over a distance of 5 m. What is the work done on the box?
• A car accelerates from rest to a speed of 20 m/s over a distance of 50 m. What is the work done on the car?
• A person lifts a weight of 200 N over a distance of 10 m. What is the work done on the weight?

Solutions

• A person pushes a box with a force of 100 N over a distance of 5 m. What is the work done on the box?
  • $W = Fd = 100 \times 5 = 500$ J
• A car accelerates from rest to a speed of 20 m/s over a distance of 50 m. What is the work done on the car?
  • $W = Fd = 100 \times 50 = 5000$ J
• A person lifts a weight of 200 N over a distance of 10 m. What is the work done on the weight?
  • $W = Fd = 200 \times 10 = 2000$ J

Conclusion

Introduction

In our previous article, we explored the relationship between work, force, and distance, and used a real-world scenario to demonstrate how to calculate the height climbed by a firefighter carrying equipment up a staircase. In this article, we will answer some frequently asked questions about work, force, and distance, and provide additional examples to help you understand this fundamental concept in physics.

Q&A

Q: What is work in physics?

A: Work is a measure of the energy transferred from one object to another through a force applied over a distance. It is typically measured in joules (J).

Q: What is the formula for work?

A: The formula for work is:

$$W = Fd$$

where:

• $W$ is the work done in joules (J)
• $F$ is the force applied in newtons (N)
• $d$ is the distance over which the force is applied in meters (m)

Q: What is the difference between work and energy?

A: Work is the transfer of energy from one object to another, while energy is the ability to do work. In other words, work is the actual transfer of energy, while energy is the potential to do work.

Q: Can you give an example of work in everyday life?

A: Yes, consider a person lifting a heavy box onto a shelf. The person applies a force to the box, and the box moves a certain distance. The work done on the box is the product of the force applied and the distance over which it is applied.

Q: What is the unit of work?

A: The unit of work is the joule (J).

Q: Can you give an example of a situation where work is not done?

A: Yes, consider a person pushing a box against a wall. The person applies a force to the box, but the box does not move. In this case, no work is done on the box.

Q: What is the relationship between work and kinetic energy?

A: The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy.

Q: Can you give an example of a situation where work is done, but no kinetic energy is transferred?

A: Yes, consider a person lifting a heavy box onto a shelf. The person applies a force to the box, and the box moves a certain distance. However, the box does not accelerate, so no kinetic energy is transferred to the box.

Q: What is the difference between work and potential energy?

A: Work is the transfer of energy from one object to another, while potential energy is the energy an object has due to its position or configuration.

Q: Can you give an example of a situation where work is done, but no potential energy is transferred?

A: Yes, consider a person pushing a box against a wall. The person applies a force to the box, but the box does not move. In this case, no work is done on the box, and no potential energy is transferred to the box.

Additional Examples

Here are a few additional examples to help you understand the concept of work, force, and distance:

• A person pushes a box with a force of 100 N over a distance of 5 m. What is the work done on the box?
• A car accelerates from rest to a speed of 20 m/s over a distance of 50 m. What is the work done on the car?
• A person lifts a weight of 200 N over a distance of 10 m. What is the work done on the weight?

Solutions

• A person pushes a box with a force of 100 N over a distance of 5 m. What is the work done on the box?
  • $W = Fd = 100 \times 5 = 500$ J
• A car accelerates from rest to a speed of 20 m/s over a distance of 50 m. What is the work done on the car?
  • $W = Fd = 100 \times 50 = 5000$ J
• A person lifts a weight of 200 N over a distance of 10 m. What is the work done on the weight?
  • $W = Fd = 200 \times 10 = 2000$ J

Conclusion

In conclusion, the concept of work, force, and distance is a fundamental aspect of physics that describes the transfer of energy from one object to another through a force applied over a distance. By understanding this concept, you can calculate the work done on an object, and apply it to real-world scenarios.