A 1650-kg automobile moving south 12.0 m / s collides with a 2450-kg automobile moving north on

Name: Problem 11, Chapter 6: Applied Physics
Uploaded: 2023-03-30T14:48:58-08:00
Duration: 3 min 21 s
Channel: Vishal Gupta
Description: A 1650-kg automobile moving south 12.0 m / s collides with a 2450-kg automobile moving north on an icy road. The automobiles stick together and move 3.00 m / s to the north after the collision. What is the speed of the heavier automobile before the collision?

step 1 Hi, here in this given problem there are two automobiles out of which mass of the first automobi

Question

A $1650-\mathrm{kg}$ automobile moving south $12.0 \mathrm{~m} / \mathrm{s}$ collides with a $2450-\mathrm{kg}$ automobile moving north on an icy road. The automobiles stick together and move $3.00 \mathrm{~m} / \mathrm{s}$ to the north after the collision. What is the speed of the heavier automobile before the collision?

   A $1650-\mathrm{kg}$ automobile moving south $12.0 \mathrm{~m} / \mathrm{s}$ collides with a $2450-\mathrm{kg}$ automobile moving north on an icy road. The automobiles stick together and move $3.00 \mathrm{~m} / \mathrm{s}$ to the north after the collision. What is the speed of the heavier automobile before the collision?

Applied Physics

Dale Ewen, Neill… 11th Edition

Chapter 6, Problem 11

Instant Answer

Solved by Expert Vishal Gupta

03/30/2023

Step 1

According to this principle, the total linear momentum of a system of particles remains constant, provided no external force acts on it. In this case, the two automobiles are our system of particles. Show more…

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A $1650-\mathrm{kg}$ automobile moving south $12.0 \mathrm{~m} / \mathrm{s}$ collides with a $2450-\mathrm{kg}$ automobile moving north on an icy road. The automobiles stick together and move $3.00 \mathrm{~m} / \mathrm{s}$ to the north after the collision. What is the speed of the heavier automobile before the collision?

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Key Concepts

Inelastic Collision

An inelastic collision is characterized by colliding objects sticking together after impact, meaning kinetic energy is not conserved even though momentum is. This type of collision necessitates only the conservation of momentum for problem-solving, emphasizing that energy transformations occur during the event.

Vector Quantities and Direction

Momentum is a vector quantity, meaning it has both magnitude and direction. In collision problems, assigning a sign convention (such as positive for one direction and negative for the opposite) is essential for correctly summing the momentum contributions from bodies moving in different directions.

Conservation of Momentum

This principle states that the total momentum of a closed system remains constant in the absence of external forces. It is used to analyze collisions by equating the total momentum before and after the impact, making it a fundamental tool for solving problems in mechanics.

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