A 100 kg box is decelerated from 10m/s to 8m/s. What is the magnitude of work needed to slow the box? a 1800J b 100J c 3600J d 6001

To solve this problem, we will use the work-energy principle, which states that the work done on an object is equal to the change in its kinetic energy. The formula for kinetic energy ( ) is , where is the mass and is the velocity of the object.**Step 1:** Calculate the initial kinetic energy ( ) using the initial velocity ( ). **Step 2:** Calculate the final kinetic energy ( ) using the final velocity ( ). **Step 3:** Determine the work done ( ) by finding the change in kinetic energy. The negative sign indicates that work is done to decelerate the box, but since the question asks for the magnitude of work, we consider the absolute value.**Answer**: The magnitude of work needed to slow the box is , which corresponds to option (a) .