One ball of mass 0.500 kg traveling 6.00 m / s to the right collides with a ball of mass 0.200

Name: Problem 1, Chapter 6: Applied Physics
Uploaded: 2023-04-02T14:07:13-08:00
Duration: 3 min 2 s
Channel: Vishal Gupta
Description: One ball of mass 0.500 kg traveling 6.00 m / s to the right collides with a ball of mass 0.200 kg initially at rest. After the collision, the heavier ball is traveling 2.57 m / s to the right. What is the velocity of the lighter ball after the collision?

step 1 Hi, here in this given problem out of the two walls, mass of the first one, M1 is given as 0 .50

Question

One ball of mass $0.500 \mathrm{~kg}$ traveling $6.00 \mathrm{~m} / \mathrm{s}$ to the right collides with a ball of mass $0.200 \mathrm{~kg}$ initially at rest. After the collision, the heavier ball is traveling $2.57 \mathrm{~m} / \mathrm{s}$ to the right. What is the velocity of the lighter ball after the collision?

   One ball of mass $0.500 \mathrm{~kg}$ traveling $6.00 \mathrm{~m} / \mathrm{s}$ to the right collides with a ball of mass $0.200 \mathrm{~kg}$ initially at rest. After the collision, the heavier ball is traveling $2.57 \mathrm{~m} / \mathrm{s}$ to the right. What is the velocity of the lighter ball after the collision?

Applied Physics

Dale Ewen, Neill… 11th Edition

Chapter 6, Problem 1

Instant Answer

Solved by Expert Vishal Gupta

04/02/2023

Step 1

According to this principle, the total momentum of an isolated system remains constant if no external forces act on it. Mathematically, it can be represented as: \[m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}\] where $m_1$ and $m_2$ are the masses of the two Show more…

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One ball of mass $0.500 \mathrm{~kg}$ traveling $6.00 \mathrm{~m} / \mathrm{s}$ to the right collides with a ball of mass $0.200 \mathrm{~kg}$ initially at rest. After the collision, the heavier ball is traveling $2.57 \mathrm{~m} / \mathrm{s}$ to the right. What is the velocity of the lighter ball after the collision?

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Key Concepts

Conservation of Linear Momentum

In mechanics, the conservation of linear momentum is a key principle which states that in the absence of external forces, the total momentum of a system remains constant. This principle is crucial in analyzing collisions, as it allows one to equate the sum of the momenta before the collision with the sum of the momenta after the collision, regardless of the types of collision.

Collision Analysis Using Momentum Equations

Collision analysis involves setting up and solving equations based on the momentum of the objects involved. Each object's momentum is the product of its mass and its velocity, and by applying the conservation principle to the system, one can determine unknown quantities such as the final velocity of an object after impact. This approach is fundamental in solving problems related to the interactions of bodies in mechanics.

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