A 3 kg mass with a initial velocity of +3 m / s has a perfectly inelastic collision with a 2 kg

Name: Problem 25, Chapter 14: Cracking The AP Physics 1 Exam
Uploaded: 2021-04-08T15:07:21-08:00
Duration: 1 min 43 s
Channel: Sachin Rao
Description: A 3 kg mass with a initial velocity of +3 m / s has a perfectly inelastic collision with a 2 kg mass with an initial velocity of -6 m / s . What is the final velocity after impact? (A) -1.0 m / s (B) -0.6 m / s (C) 0.6 m / s (D) 1.0 m / s

step 1 A 3KG mass with initial velocity of 3 meter per second has a perfect inelastic collision with a

Question

A 3 kg mass with a initial velocity of $+3 \mathrm{m} / \mathrm{s}$ has a perfectly inelastic collision with a 2 $\mathrm{kg}$ mass with an initial velocity of $-6 \mathrm{m} / \mathrm{s} .$ What is the final velocity after impact? (A) $-1.0 \mathrm{m} / \mathrm{s}$ (B) $-0.6 \mathrm{m} / \mathrm{s}$ (C) 0.6 $\mathrm{m} / \mathrm{s}$ (D) 1.0 $\mathrm{m} / \mathrm{s}$

   A 3 kg mass with a initial velocity of $+3 \mathrm{m} / \mathrm{s}$ has a perfectly inelastic collision with a 2 $\mathrm{kg}$ mass with an initial velocity of $-6 \mathrm{m} / \mathrm{s} .$ What is the final velocity after impact?
(A) $-1.0 \mathrm{m} / \mathrm{s}$
(B) $-0.6 \mathrm{m} / \mathrm{s}$
(C) 0.6 $\mathrm{m} / \mathrm{s}$
(D) 1.0 $\mathrm{m} / \mathrm{s}$

Cracking The AP Physics 1 Exam

Robert Franek 1st Edition

Chapter 14, Problem 25

Instant Answer

Solved by Expert Sachin Rao

04/08/2021

Step 1

The mass of the first object, $m_1$, is 3 kg and its initial velocity, $v_{1i}$, is +3 m/s. The mass of the second object, $m_2$, is 2 kg and its initial velocity, $v_{2i}$, is -6 m/s. We are asked to find the final velocity, $v_f$, after a perfectly inelastic Show more…

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A 3 kg mass with a initial velocity of $+3 \mathrm{m} / \mathrm{s}$ has a perfectly inelastic collision with a 2 $\mathrm{kg}$ mass with an initial velocity of $-6 \mathrm{m} / \mathrm{s} .$ What is the final velocity after impact? (A) $-1.0 \mathrm{m} / \mathrm{s}$ (B) $-0.6 \mathrm{m} / \mathrm{s}$ (C) 0.6 $\mathrm{m} / \mathrm{s}$ (D) 1.0 $\mathrm{m} / \mathrm{s}$

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Key Concepts

Perfectly Inelastic Collision

In a perfectly inelastic collision, the colliding objects stick together after impact and move as a single combined mass. While momentum is conserved in these collisions, kinetic energy is not necessarily conserved, as some of it is transformed into other forms of energy such as heat or deformation energy.

Conservation of Momentum

This principle states that the total momentum of a closed system remains constant before and after a collision, provided that no external forces act on the system. It is used to calculate unknown velocities or masses in collision problems by equating the sum of individual momenta before and after the impact.

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