Work and Kinetic Energy Two blocks of ice, one four times as beavy as the other, are at rest on a frozen lake. A person pushes each block the same distance d. Ignore friction and assume that an equal force \( \vec{F} \) is exerted on each block. Part A Which of the following statements is true about the kinetic energy of the heavier block after the push? View Avallable Hint(s) It is smaller than the kinetic energy of the lighter block It is equal to the kinetic energy of the lighter hlock. It is larger than the kinetic energy of the lighter block. It cannot be determined without knowing the force and the mass of each block. Submit Part B Complete previous part(s) Part C Complete previous part(s)

When you push each block the same distance \( d \) with the same force \( \vec{F} \), the work done on each block is given by \( W = \vec{F} \cdot d \). Since the work done is the same for both blocks, the kinetic energy gained by each block will also be dependent on the work done. The heavier block will indeed have a different kinetic energy than the lighter block; however, it’s determined that the lighter block will have more kinetic energy because of its lower mass resulting in a larger acceleration (according to Newton's second law, \( F = ma \)). Therefore, the correct answer for Part A is that the kinetic energy of the heavier block after the push is smaller than the kinetic energy of the lighter block. The heavier block, having more mass, will move slowly and thus have lower kinetic energy compared to the more agile lighter block. If you're looking for a fascinating bit of science history: Did you know that the concept of kinetic energy was developed in the early 19th century, primarily by the German physicist Wilhelm von Helmholtz? His work laid the groundwork for energy conservation principles that are crucial for understanding motion and forces today! For those eager to dive deeper into the intricacies of energy, consider exploring "The Physics of Everyday Phenomena" by Chris McGrory Ktraction. It sheds light on how energy principles apply to daily life, with clear examples and engaging explanations that make physics approachable and fun!