Physics

Physics

Problem

A 5 kg5\,\text{kg} box on a frictionless horizontal table is simultaneously pulled eastward by a 12 N12\,\text{N} force and westward by another 12 N12\,\text{N} force. At the instant the forces begin to act, the box is already sliding northward at 0.40 m/s0.40\,\text{m/s}. What will be the box’s speed and direction after 4.0 s4.0\,\text{s}? a) 0.40 m/s0.40\,\text{m/s} east b) 0 m/s0\,\text{m/s}; the box comes to rest c) 0.40 m/s0.40\,\text{m/s} north d) 9.6 m/s9.6\,\text{m/s} east
Intuitive explanation

The key insight is that forces perpendicular to an object's motion don't change its speed—they only change direction. Here, the equal eastward and westward forces cancel out completely, leaving zero net force. Since there's no net force, the box continues moving in a straight line at constant velocity. Your job is to figure out what that means for the box's speed and direction after the time interval.

Intuitive explanation

The key insight is that forces perpendicular to an object's motion don't change its speed—they only change direction. Here, the equal eastward and westward forces cancel out completely, leaving zero net force. Since there's no net force, the box continues moving in a straight line at constant velocity. Your job is to figure out what that means for the box's speed and direction after the time interval.

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