Select The Correct Answer.What Is The Velocity Of An 11-kilogram Object With 792 Joules Of Kinetic Energy? Use V = 2 K E M V=\sqrt{\frac{2 KE}{m}} V = M 2 K E ​ ​ .A. 7 M/s 7 \, \text{m/s} 7 M/s B. 8 M/s 8 \, \text{m/s} 8 M/s C. 9 M/s 9 \, \text{m/s} 9 M/s D. $11 ,

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Introduction

Kinetic energy and velocity are two fundamental concepts in physics that are closely related. Kinetic energy is the energy an object possesses due to its motion, while velocity is the rate of change of an object's position with respect to time. In this article, we will explore the relationship between kinetic energy and velocity, and use a specific example to illustrate how to calculate the velocity of an object given its kinetic energy.

Kinetic Energy Formula

The formula for kinetic energy is given by:

KE = ½ mv^2

where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

Velocity Formula

The formula for velocity is given by:

v = √(2 KE / m)

where v is the velocity of the object, KE is the kinetic energy, and m is the mass of the object.

Example Problem

Let's consider an example problem where we are given the kinetic energy of an object and asked to find its velocity. The problem states that an 11-kilogram object has 792 joules of kinetic energy. We can use the velocity formula to solve for the velocity of the object.

Step 1: Plug in the values

First, we need to plug in the values given in the problem into the velocity formula. We are given that the kinetic energy (KE) is 792 joules, and the mass (m) is 11 kilograms.

v = √(2 KE / m) v = √(2 (792 J) / (11 kg))

Step 2: Simplify the expression

Next, we need to simplify the expression inside the square root.

v = √(1584 J / 11 kg) v = √(144 J/kg)

Step 3: Calculate the square root

Finally, we need to calculate the square root of the expression.

v = √(144 J/kg) v = 12 m/s

Conclusion

In this article, we explored the relationship between kinetic energy and velocity, and used a specific example to illustrate how to calculate the velocity of an object given its kinetic energy. We found that the velocity of the 11-kilogram object with 792 joules of kinetic energy is 12 m/s.

Answer

The correct answer is D. 12 m/s.

Discussion

This problem is a great example of how to use the velocity formula to solve for the velocity of an object given its kinetic energy. It also highlights the importance of plugging in the correct values into the formula and simplifying the expression before calculating the square root.

Related Topics

  • Kinetic energy and potential energy
  • Work and energy
  • Momentum and impulse

References

  • Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of physics. John Wiley & Sons.
  • Serway, R. A., & Jewett, J. W. (2018). Physics for scientists and engineers. Cengage Learning.

Additional Resources

  • Khan Academy: Kinetic energy and work
  • MIT OpenCourseWare: Physics 8.01: Kinetic energy and momentum
  • Physics Classroom: Kinetic energy and potential energy
    Kinetic Energy and Velocity: Q&A =====================================

Introduction

In our previous article, we explored the relationship between kinetic energy and velocity, and used a specific example to illustrate how to calculate the velocity of an object given its kinetic energy. In this article, we will answer some frequently asked questions about kinetic energy and velocity.

Q: What is kinetic energy?

A: Kinetic energy is the energy an object possesses due to its motion. It is a measure of the energy an object has because of its motion.

Q: What is the formula for kinetic energy?

A: The formula for kinetic energy is given by:

KE = ½ mv^2

where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

Q: What is the formula for velocity?

A: The formula for velocity is given by:

v = √(2 KE / m)

where v is the velocity of the object, KE is the kinetic energy, and m is the mass of the object.

Q: How do I calculate the velocity of an object given its kinetic energy?

A: To calculate the velocity of an object given its kinetic energy, you need to plug in the values into the velocity formula and simplify the expression before calculating the square root.

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

A: The relationship between kinetic energy and velocity is given by the formula:

KE = ½ mv^2

This formula shows that kinetic energy is directly proportional to the square of the velocity.

Q: Can an object have kinetic energy if it is not moving?

A: No, an object cannot have kinetic energy if it is not moving. Kinetic energy is the energy an object possesses due to its motion.

Q: Can an object have zero kinetic energy if it is moving?

A: Yes, an object can have zero kinetic energy if it is moving, but its velocity is zero. For example, an object that is moving in a circular path at a constant speed has zero kinetic energy.

Q: What is the unit of kinetic energy?

A: The unit of kinetic energy is joules (J).

Q: What is the unit of velocity?

A: The unit of velocity is meters per second (m/s).

Q: Can I use the velocity formula to calculate the kinetic energy of an object?

A: Yes, you can use the velocity formula to calculate the kinetic energy of an object. Simply plug in the values into the formula and solve for KE.

Conclusion

In this article, we answered some frequently asked questions about kinetic energy and velocity. We hope this article has helped you understand the relationship between kinetic energy and velocity, and how to calculate the velocity of an object given its kinetic energy.

Related Topics

  • Kinetic energy and potential energy
  • Work and energy
  • Momentum and impulse

References

  • Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of physics. John Wiley & Sons.
  • Serway, R. A., & Jewett, J. W. (2018). Physics for scientists and engineers. Cengage Learning.

Additional Resources

  • Khan Academy: Kinetic energy and work
  • MIT OpenCourseWare: Physics 8.01: Kinetic energy and momentum
  • Physics Classroom: Kinetic energy and potential energy