Questions: Item Trial 1 Empty Cart Trial 2 Empty Cart Trial 3 With 200g Trial 4 With 200g --- --- --- --- --- Total Mass of Cart (kg) .2482 .2482 .4482 .4482 Work Done (Area) (N-m) .096 .091 .096 .217 Velocity, Initial (m/s) 0 0 0 0 Velocity, Maximum (m/s) .701 .679 .808 1.040 Change in Kinetic Energy (J) .0609 0.0572 .1463 .46617

Solution Steps

• The table provides data from four trials involving a cart, with and without an additional 200g mass.
• Key variables include total mass, work done, initial and maximum velocity, and change in kinetic energy.

• Trials 1 and 2 involve an empty cart with a total mass of \(0.2482 \, \text{kg}\).
• Trials 3 and 4 involve a cart with an additional 200g, making the total mass \(0.4482 \, \text{kg}\).
• Work done is measured in Newton-meters (N-m) and varies across trials.

• Kinetic energy change is calculated using the formula \(\Delta KE = \frac{1}{2} m (v_{\text{max}}^2 - v_{\text{initial}}^2)\).
• Initial velocity is \(0 \, \text{m/s}\) for all trials, simplifying the formula to \(\Delta KE = \frac{1}{2} m v_{\text{max}}^2\).
• Compare the calculated change in kinetic energy with the provided values to verify consistency.

Final Answer