### Physics Problem: Conservation of Momentum**Problem Statement:**A 14,000-kg boxcar is coasting at 1.50 m/s along a horizontal track when it suddenly hits and couples with a stationary 10,000-kg boxcar.**Question:**What is the speed of the cars just after the collision?**Answer Input:** ```[______________] m/s```---**Explanation for Students:**This problem involves the concept of conservation of momentum. When two objects collide and stick together, their combined momentum after the collision must equal the total momentum before the collision, assuming no external forces act on the system.In this scenario:- The first boxcar has a mass, \( m_1 = 14,000 \) kg and an initial velocity, \( v_1 = 1.50 \) m/s.- The second boxcar has a mass, \( m_2 = 10,000 \) kg and is stationary, so its initial velocity, \( v_2 = 0 \) m/s.We can use the conservation of momentum formula:\[ m_1 v_1 + m_2 v_2 = (m_1 + m_2) v_f \]Where:- \( v_f \) is the final velocity of both boxcars after the collision.Plugging in the values:\[ 14,000 \times 1.50 + 10,000 \times 0 = (14,000 + 10,000) v_f \]\[ 21,000 = 24,000 v_f \]\[ v_f = \frac{21,000}{24,000} \]\[ v_f = 0.875 \text{ m/s} \]Thus, the speed of the cars just after the collision is 0.875 m/s.

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Description: ### Physics Problem: Conservation of Momentum**Problem Statement:**A 14,000-kg boxcar is coasting at 1.50 m/s along a horizontal track when it suddenly hits and couples with a stationary 10,000-kg boxcar.**Question:**What is the speed of the cars ju

Mass of moving boxcar is m1=14000 kgMass of stationary boxcar is m2=10000 kgSpeed of moving boxcar…

Answered: A 14,000-kg boxcar is coasting at 1.50…

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Physics

A 14,000-kg boxcar is coasting at 1.50 m/s along a horizontal track when it suddenly hits and couples with a stationary 10,000-kg boxcar. What is the speed of the cars just after the collision? m/s

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum And Collisions

Section: Chapter Questions

Problem 29P: a man of mass m1 = 70.0 kg is skating at v1 = 8.00 m/s behind his wife of mass m2 = 50.0 kg, who is...

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