What Is The Acceleration Of An Object If Its Mass Is 60 Kg And The Force On That Object Is 600 N?A. $1000 \frac{m}{s^2}$B. $100 \frac{m}{s^2}$C. $60 \frac{m}{s^2}$D. $10 \frac{m}{s^2}$

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In physics, the relationship between force, mass, and acceleration is governed by Newton's second law of motion. This fundamental principle states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. Mathematically, this can be expressed as:

F = ma

Where:

  • F is the net force applied to the object in Newtons (N)
  • m is the mass of the object in kilograms (kg)
  • a is the acceleration of the object in meters per second squared (m/s^2)

In this article, we will explore the concept of acceleration and how it can be calculated using the given values of mass and force.

Calculating Acceleration

To calculate the acceleration of an object, we can rearrange the equation F = ma to solve for a. This gives us:

a = F / m

Now, let's substitute the given values into this equation:

  • F = 600 N (the force applied to the object)
  • m = 60 kg (the mass of the object)

Plugging these values into the equation, we get:

a = 600 N / 60 kg

a = 10 m/s^2

Therefore, the acceleration of the object is 10 m/s^2.

Analyzing the Options

Now that we have calculated the acceleration of the object, let's analyze the given options:

A. 1000ms21000 \frac{m}{s^2}

B. 100ms2100 \frac{m}{s^2}

C. 60ms260 \frac{m}{s^2}

D. 10ms210 \frac{m}{s^2}

Based on our calculation, the correct answer is:

D. 10ms210 \frac{m}{s^2}

Conclusion

In conclusion, the acceleration of an object can be calculated using the equation a = F / m, where F is the net force applied to the object and m is the mass of the object. By substituting the given values into this equation, we can determine the acceleration of the object. In this case, the acceleration of the object is 10 m/s^2.

Frequently Asked Questions

Q: What is the relationship between force, mass, and acceleration?

A: The relationship between force, mass, and acceleration is governed by Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.

Q: How can I calculate the acceleration of an object?

A: To calculate the acceleration of an object, you can use the equation a = F / m, where F is the net force applied to the object and m is the mass of the object.

Q: What is the unit of acceleration?

A: The unit of acceleration is meters per second squared (m/s^2).

Q: What is the correct answer for the given problem?

A: The correct answer is D. 10ms210 \frac{m}{s^2}.

Additional Resources

For more information on the relationship between force, mass, and acceleration, please refer to the following resources:

  • Newton's second law of motion
  • Equation of motion
  • Acceleration
  • Force
  • Mass

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.
  • OpenStax. (2019). College physics. Rice University.
    Q&A: Acceleration and Newton's Second Law of Motion =====================================================

In our previous article, we explored the concept of acceleration and how it can be calculated using Newton's second law of motion. In this article, we will answer some frequently asked questions related to acceleration and Newton's second law of motion.

Q: What is Newton's second law of motion?

A: Newton's second law of motion states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. Mathematically, this can be expressed as:

F = ma

Where:

  • F is the net force applied to the object in Newtons (N)
  • m is the mass of the object in kilograms (kg)
  • a is the acceleration of the object in meters per second squared (m/s^2)

Q: What is the unit of force?

A: The unit of force is Newtons (N).

Q: What is the unit of mass?

A: The unit of mass is kilograms (kg).

Q: What is the unit of acceleration?

A: The unit of acceleration is meters per second squared (m/s^2).

Q: How can I calculate the acceleration of an object?

A: To calculate the acceleration of an object, you can use the equation a = F / m, where F is the net force applied to the object and m is the mass of the object.

Q: What is the relationship between force, mass, and acceleration?

A: The relationship between force, mass, and acceleration is governed by Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration.

Q: Can I use Newton's second law of motion to calculate the force applied to an object?

A: Yes, you can use Newton's second law of motion to calculate the force applied to an object. To do this, you can rearrange the equation F = ma to solve for F. This gives you:

F = ma

Q: Can I use Newton's second law of motion to calculate the mass of an object?

A: Yes, you can use Newton's second law of motion to calculate the mass of an object. To do this, you can rearrange the equation F = ma to solve for m. This gives you:

m = F / a

Q: What is the difference between force and acceleration?

A: Force is a push or pull that causes an object to change its motion, while acceleration is the rate of change of velocity of an object.

Q: Can I use Newton's second law of motion to calculate the velocity of an object?

A: Yes, you can use Newton's second law of motion to calculate the velocity of an object. To do this, you can use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Q: Can I use Newton's second law of motion to calculate the distance traveled by an object?

A: Yes, you can use Newton's second law of motion to calculate the distance traveled by an object. To do this, you can use the equation s = ut + (1/2)at^2, where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time.

Additional Resources

For more information on Newton's second law of motion and its applications, please refer to the following resources:

  • Newton's second law of motion
  • Equation of motion
  • Acceleration
  • Force
  • Mass
  • Velocity
  • Distance

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.
  • OpenStax. (2019). College physics. Rice University.