A 2.00-kg object is moving east at 4.00 m / s^4 .00 m / s when it collides with a 6.00 -kg obj

Name: Problem 44, Chapter 7: College Physics
Uploaded: 2021-08-17T20:31:43-08:00
Duration: 2 min 53 s
Channel: Paul Gabriel
Description: A 2.00-kg object is moving east at 4.00 m / s^4 .00 m / s when it collides with a 6.00 -kg object that is initially at rest. After the collision the larger object moves east at 1.00 m / s^1.00 m / s. What is the final velocity of the smaller object after the collision? Assume no external forces act on the objects. Example 7-2

step 1 Hi, so in this question we have that a 2 kilogram object collides with a 6 kilogram object. So l

Question

A $2.00-\mathrm{kg}$ object is moving east at $4.00 \mathrm{~m} / \mathrm{s}^{4} .00 \mathrm{~m} / \mathrm{s}$ when it collides with a $6.00$ -kg object that is initially at rest. After the collision the larger object moves east at $1.00 \mathrm{~m} / \mathrm{s}^{1.00 \mathrm{~m} / \mathrm{s}}$. What is the final velocity of the smaller object after the collision? Assume no external forces act on the objects. Example $7-2$

    A $2.00-\mathrm{kg}$ object is moving east at $4.00 \mathrm{~m} / \mathrm{s}^{4} .00 \mathrm{~m} / \mathrm{s}$ when it collides with a $6.00$ -kg object that is initially at rest. After the collision the larger object moves east at $1.00 \mathrm{~m} / \mathrm{s}^{1.00 \mathrm{~m} / \mathrm{s}}$. What is the final velocity of the smaller object after the collision? Assume no external forces act on the objects. Example $7-2$

College Physics

Roger A. Freedman;… 2nd Edition

Chapter 7, Problem 44

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Solved by Expert Paul Gabriel

08/17/2021

Step 1

The mass of the first object, $m_1$, is 2 kg and its initial velocity, $v_1$, is 4 m/s east. The mass of the second object, $m_2$, is 6 kg and its initial velocity, $v_2$, is 0 m/s (since it is at rest). After the collision, the final velocity of the second Show more…

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A $2.00-\mathrm{kg}$ object is moving east at $4.00 \mathrm{~m} / \mathrm{s}^{4} .00 \mathrm{~m} / \mathrm{s}$ when it collides with a $6.00$ -kg object that is initially at rest. After the collision the larger object moves east at $1.00 \mathrm{~m} / \mathrm{s}^{1.00 \mathrm{~m} / \mathrm{s}}$. What is the final velocity of the smaller object after the collision? Assume no external forces act on the objects. Example $7-2$

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Key Concepts

Conservation of Momentum

This principle states that in an isolated system, where no external forces are acting, the total momentum remains constant before and after any interaction. It is essential in collision problems as it allows us to equate the sum of the momenta of the objects prior to a collision to the sum of their momenta afterward, regardless of the type of collision.

One-Dimensional Collision Analysis

In one-dimensional collisions, the momentum conservation equation simplifies to scalar arithmetic, taking into account the direction of motion along a single axis. This approach involves summing the individual momenta (mass multiplied by velocity) of the objects before and after the collision, which is particularly useful for solving for unknown velocities following collisions.

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