A Force Of 5 N Accelerates An Object. The Object's Mass Is 50 G. What Is The Acceleration Of The Object?(Formula: F = M A F = Ma F = Ma )A. 0.01 M/s 2 0.01 \, \text{m/s}^2 0.01 M/s 2 B. 0.1 M/s 2 0.1 \, \text{m/s}^2 0.1 M/s 2 C. 10 M/s 2 10 \, \text{m/s}^2 10 M/s 2 D. $100 ,

Introduction

In physics, the relationship between force, mass, and acceleration is governed by Newton's second law of motion. This fundamental principle is expressed by the equation $F = ma$, where $F$ represents the net force applied to an object, $m$ is the mass of the object, and $a$ is the resulting acceleration. In this article, we will explore how to use this equation to solve problems involving force, mass, and acceleration.

Newton's Second Law of Motion

Newton's second law of motion states that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass. Mathematically, this is expressed as:

$$F = ma$$

where $F$ is the net force in newtons (N), $m$ is the mass in kilograms (kg), and $a$ is the acceleration in meters per second squared (m/s^2).

Given Values

In this problem, we are given the following values:

• Force ($F$) = 5 N
• Mass ($m$) = 50 g = 0.05 kg (converting grams to kilograms)

Solving for Acceleration

To find the acceleration of the object, we can rearrange the equation $F = ma$ to solve for $a$. Dividing both sides of the equation by $m$, we get:

$$a = \frac{F}{m}$$

Substituting the given values, we get:

$$a = \frac{5 \, \text{N}}{0.05 \, \text{kg}}$$

Simplifying the expression, we get:

$$a = 100 \, \text{m/s}^2$$

Conclusion

Therefore, the acceleration of the object is $100 \, \text{m/s}^2$. This result is consistent with the equation $F = ma$, which shows that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass.

Answer

The correct answer is:

• D. $100 \, \text{m/s}^2$

Discussion

This problem illustrates the importance of understanding the relationship between force, mass, and acceleration. By applying Newton's second law of motion, we can solve problems involving the motion of objects and predict the resulting accelerations. In this case, the given values of force and mass allowed us to calculate the acceleration of the object using the equation $F = ma$. This equation is a fundamental tool in physics and is used to describe the motion of objects in a wide range of situations.

Real-World Applications

The concept of force, mass, and acceleration is crucial in many real-world applications, including:

• Engineering: Understanding the relationship between force, mass, and acceleration is essential in the design of machines and structures.
• Physics: The concept of force, mass, and acceleration is used to describe the motion of objects in a wide range of situations, from the motion of projectiles to the behavior of subatomic particles.
• Aerospace: The relationship between force, mass, and acceleration is critical in the design of aircraft and spacecraft, where the forces of gravity and thrust must be carefully balanced to achieve stable flight.

Conclusion

Introduction

In our previous article, we explored the relationship between force, mass, and acceleration using Newton's second law of motion. We solved a problem involving a force of 5 N accelerating an object with a mass of 50 g. In this article, we will answer some frequently asked questions (FAQs) related to this topic.

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

A: The formula for Newton's second law of motion is:

$$F = ma$$

where $F$ is the net force in newtons (N), $m$ is the mass in kilograms (kg), and $a$ is the acceleration in meters per second squared (m/s^2).

Q: What is the unit of force in Newton's second law of motion?

A: The unit of force in Newton's second law of motion is newtons (N).

Q: What is the unit of mass in Newton's second law of motion?

A: The unit of mass in Newton's second law of motion is kilograms (kg).

Q: What is the unit of acceleration in Newton's second law of motion?

A: The unit of acceleration in Newton's second law of motion is meters per second squared (m/s^2).

Q: Can I use Newton's second law of motion to solve problems involving different units of force, mass, and acceleration?

A: Yes, you can use Newton's second law of motion to solve problems involving different units of force, mass, and acceleration. However, you must ensure that the units are consistent throughout the problem.

Q: How do I convert grams to kilograms?

A: To convert grams to kilograms, you can divide the number of grams by 1000. For example, 50 g is equal to 0.05 kg.

Q: How do I convert newtons to pounds?

A: To convert newtons to pounds, you can use the following conversion factor: 1 N = 0.2248 lb.

Q: Can I use Newton's second law of motion to solve problems involving objects moving at high speeds?

A: Yes, you can use Newton's second law of motion to solve problems involving objects moving at high speeds. However, you must take into account the effects of air resistance and other external forces that may be acting on the object.

Q: Can I use Newton's second law of motion to solve problems involving objects moving in circular motion?

A: Yes, you can use Newton's second law of motion to solve problems involving objects moving in circular motion. However, you must take into account the effects of centripetal force and other external forces that may be acting on the object.

Conclusion

In conclusion, Newton's second law of motion is a fundamental concept in physics that describes the relationship between force, mass, and acceleration. By understanding this concept, you can solve a wide range of problems involving the motion of objects. We hope that this Q&A article has helped to clarify any questions you may have had about Newton's second law of motion.

Additional Resources

If you are interested in learning more about Newton's second law of motion, we recommend the following resources:

• Textbooks: "Physics for Scientists and Engineers" by Paul A. Tipler and Gene Mosca
• Online tutorials: Khan Academy's "Physics" course
• Videos: 3Blue1Brown's "Newton's Second Law" video

Practice Problems

If you want to practice solving problems involving Newton's second law of motion, we recommend the following practice problems:

• Problem 1: A force of 10 N accelerates an object with a mass of 20 kg. What is the acceleration of the object?
• Problem 2: A force of 5 N accelerates an object with a mass of 50 g. What is the acceleration of the object?
• Problem 3: A force of 20 N accelerates an object with a mass of 30 kg. What is the acceleration of the object?

We hope that this Q&A article has been helpful in answering your questions about Newton's second law of motion. If you have any further questions, please don't hesitate to ask.