---
title: "Two carts, A and B, move along a horizontal frictionless track in the +x-direction. Cart A has mass m and Cart B has mass 2m, and both carts have the same initial linear momentum of magnitude p_0. A constant braking force of magnitude F_0 is applied in the -x-direction to each cart until it comes to rest. Which of the following correctly pairs the relationship between their initial kinetic energies, K_A and K_B, with the relationship between the time intervals, \\(\\Delta t_A\\) and \\(\\Delta t_B\\), required to bring each cart to rest?"
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url: "https://nerd-notes.com/ubq/120695/"
date_modified: "2026-08-23T04:42:43+00:00"
---

# Two carts, A and B, move along a horizontal frictionless track in the +x-direction. Cart A has mass m and Cart B has mass 2m, and both carts have the same initial linear momentum of magnitude p_0. A constant braking force of magnitude F_0 is applied in the -x-direction to each cart until it comes to rest. Which of the following correctly pairs the relationship between their initial kinetic energies, K_A and K_B, with the relationship between the time intervals, \(\Delta t_A\) and \(\Delta t_B\), required to bring each cart to rest?

Two carts, A and B, move along a horizontal frictionless track in the +x-direction. Cart A has mass m and Cart B has mass 2m, and both carts have the same initial linear momentum of magnitude p_0. A constant braking force of magnitude F_0 is applied in the -x-direction to each cart until it comes to rest. Which of the following correctly pairs the relationship between their initial kinetic energies, K_A and K_B, with the relationship between the time intervals, \(\Delta t_A\) and \(\Delta t_B\), required to bring each cart to rest?

- **A.** \(K_A < K_B\) and \(\Delta t_A < \Delta t_B\)
- **B.** \(K_A > K_B\) and \(\Delta t_A > \Delta t_B\)
- **C.** \(K_A > K_B\) and \(\Delta t_A = \Delta t_B\)
- **D.** \(K_A = K_B\) and \(\Delta t_A = \Delta t_B\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120695/*