The Chart Shows The Masses And Velocities Of Two Colliding Objects That Stick Together After A Collision.$\[ \begin{tabular}{|l|c|c|} \hline \text{Object} & \text{Mass (kg)} & \text{Velocity (m/s)} \\ \hline A & 200 & 15 \\ \hline B & 150 & -10
Introduction
In physics, collisions between objects are a fundamental concept that helps us understand the behavior of particles and objects in various situations. When two objects collide, they can either bounce off each other or stick together, depending on the forces acting upon them. In this article, we will discuss the masses and velocities of two colliding objects that stick together after a collision.
Understanding the Problem
The chart provided shows the masses and velocities of two objects, A and B. Object A has a mass of 200 kg and a velocity of 15 m/s, while object B has a mass of 150 kg and a velocity of -10 m/s. The negative sign indicates that object B is moving in the opposite direction to object A.
Conservation of Momentum
When two objects collide, the total momentum before the collision is equal to the total momentum after the collision. This is known as the law of conservation of momentum. Mathematically, it can be expressed as:
p = p_A + p_B
where p is the total momentum, p_A is the momentum of object A, and p_B is the momentum of object B.
Calculating the Momentum
To calculate the momentum of each object, we need to multiply its mass by its velocity.
p_A = m_A * v_A = 200 kg * 15 m/s = 3000 kg m/s
p_B = m_B * v_B = 150 kg * -10 m/s = -1500 kg m/s
Total Momentum
The total momentum before the collision is the sum of the momenta of objects A and B.
p = p_A + p_B = 3000 kg m/s - 1500 kg m/s = 1500 kg m/s
Conservation of Momentum After Collision
After the collision, the two objects stick together and form a single object with a mass of 350 kg (200 kg + 150 kg). We can calculate the velocity of the combined object using the law of conservation of momentum.
p = m * v
where p is the total momentum, m is the mass of the combined object, and v is its velocity.
p = 1500 kg m/s m = 350 kg
v = p / m = 1500 kg m/s / 350 kg = 4.29 m/s
Conclusion
In this article, we discussed the masses and velocities of two colliding objects that stick together after a collision. We used the law of conservation of momentum to calculate the total momentum before and after the collision. By applying this fundamental concept in physics, we were able to determine the velocity of the combined object after the collision.
Key Takeaways
- The law of conservation of momentum states that the total momentum before a collision is equal to the total momentum after the collision.
- The momentum of an object is calculated by multiplying its mass by its velocity.
- The total momentum of two colliding objects is the sum of their individual momenta.
- The velocity of the combined object after a collision can be calculated using the law of conservation of momentum.
Further Reading
For more information on collisions and the law of conservation of momentum, we recommend the following resources:
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.
Q&A: The Chart Shows the Masses and Velocities of Two Colliding Objects ====================================================================
Introduction
In our previous article, we discussed the masses and velocities of two colliding objects that stick together after a collision. We used the law of conservation of momentum to calculate the total momentum before and after the collision. In this article, we will answer some frequently asked questions related to this topic.
Q: What is the law of conservation of momentum?
A: The law of conservation of momentum states that the total momentum before a collision is equal to the total momentum after the collision. This means that the momentum of an object or a system of objects remains constant over time, unless acted upon by an external force.
Q: How do you calculate the momentum of an object?
A: To calculate the momentum of an object, you need to multiply its mass by its velocity. The formula for momentum is:
p = m * v
where p is the momentum, m is the mass, and v is the velocity.
Q: What is the difference between momentum and velocity?
A: Momentum and velocity are related but distinct concepts. Velocity is a measure of an object's speed in a particular direction, while momentum is a measure of an object's mass and velocity. In other words, velocity tells you how fast an object is moving, while momentum tells you how much "oomph" it has.
Q: Can momentum be negative?
A: Yes, momentum can be negative. This occurs when an object is moving in the opposite direction to the positive direction. For example, if an object is moving to the left, its momentum would be negative.
Q: What happens to the momentum of an object when it collides with another object?
A: When two objects collide, their momenta are added together. This means that the total momentum of the system after the collision is equal to the sum of the momenta of the individual objects before the collision.
Q: Can the momentum of an object change over time?
A: Yes, the momentum of an object can change over time. This occurs when an external force acts on the object, causing its momentum to change. For example, if a car is accelerating, its momentum is increasing over time.
Q: What is the significance of the law of conservation of momentum?
A: The law of conservation of momentum is a fundamental principle in physics that helps us understand the behavior of objects in various situations. It is used to predict the motion of objects, including the effects of collisions and external forces.
Q: Can the law of conservation of momentum be applied to real-world situations?
A: Yes, the law of conservation of momentum can be applied to real-world situations. For example, it can be used to design and optimize systems, such as cars and airplanes, that involve collisions and external forces.
Conclusion
In this article, we answered some frequently asked questions related to the law of conservation of momentum. We hope that this Q&A article has provided you with a better understanding of this fundamental principle in physics.
Key Takeaways
- The law of conservation of momentum states that the total momentum before a collision is equal to the total momentum after the collision.
- Momentum is calculated by multiplying an object's mass by its velocity.
- Momentum can be negative, indicating that an object is moving in the opposite direction to the positive direction.
- The momentum of an object can change over time due to external forces.
- The law of conservation of momentum is a fundamental principle in physics that helps us understand the behavior of objects in various situations.
Further Reading
For more information on the law of conservation of momentum, we recommend the following resources: