Question

if you are pulling or pushing a box left and right, what could be said about the kinetic energy and the work that you did? 1 point
kinetic energy is lost each time the box hits a bump or gets stuck. work is only being done when the box is moving smoothly.
if you push the box and let it slide like a hockey puck. there is work being done the entire time and the box has kinetic energy while in motion.
the kinetic energy converts to potential energy as the box moves. work is being done when you pull the box but not when you push.
as long as there is work being done, the box is in motion and the kinetic energy has a magnitude otherwise kinetic energy zero when the box is at rest.

Explanation:

1. Analyze Option 1: Work is done when a force causes displacement. If the box hits a bump or gets stuck, displacement may stop, but kinetic energy loss isn't only in those cases. Also, work can be done during non - smooth motion (e.g., overcoming friction while moving), so this is incorrect.
2. Analyze Option 2: When you push the box and let it slide, initially work is done to give it kinetic energy. But once you let go, if there's friction, work is done by friction to stop it. So it's not work being done the entire time (after you let go, your force is no longer acting), so this is incorrect.
3. Analyze Option 3: Kinetic energy and potential energy conversion (like in gravitational or elastic cases) isn't relevant here. Also, work is done when you push (force + displacement) as well as pull, so this is incorrect.
4. Analyze Option 4: The formula for work is \(W = Fd\) (when force and displacement are in the same direction), and kinetic energy is \(KE=\frac{1}{2}mv^{2}\). If work is being done (force causing displacement), the box is moving (\(v

eq0\)) so \(KE\) has a magnitude. When the box is at rest (\(v = 0\)), \(KE = 0\). This matches the concepts of work and kinetic energy.

Answer:

D. As long as there is work being done, the box is in motion and the kinetic energy has a magnitude otherwise kinetic energy zero when the box is at rest.