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### Course: Mechanics (Essentials) - Class 11th>Unit 8

Lesson 3: Can you push a car from inside?

# Apply: conservation of momentum calculations

You might need: Calculator

## Problem

A $1.0\phantom{\rule{0.167em}{0ex}}\text{kg}$ cart moving right at $5.0\phantom{\rule{0.167em}{0ex}}\frac{\text{m}}{\text{s}}$ on a frictionless track collides with a second cart moving right at $2.0\phantom{\rule{0.167em}{0ex}}\frac{\text{m}}{\text{s}}$. The $1.0\phantom{\rule{0.167em}{0ex}}\text{kg}$ cart has a final speed of $0.50\phantom{\rule{0.167em}{0ex}}\frac{\text{m}}{\text{s}}$ to the right, and the second cart has a final speed of $2.3\phantom{\rule{0.167em}{0ex}}\frac{\text{m}}{\text{s}}$ to the right.
What is the mass of the second cart?
Consider rightward as the positive direction.
Round answer to two significant digits.
$\text{kg}$