2. Two identical pucks slide across a level, frictionless table. Initially, the pucks have the same speed, but their velocities are perpendicular to each other as shown. The same constant force is exerted on each puck for the same interval of time: from the instant shown until puck 1 crosses the second dotted line. The pucks remain on the table and do not collide during this time interval. a. When puck I crosses the second dotted line, is puck 2 to the left of, to the right of, or crossing the second dotted line? Explain how you can tell. In the diagram above, sketch the trajectory of each of the pucks. Explain how you decided to draw the trajectories the way you did. b. When puck I crosses the second dotted line, is the magnitude of its momentum greater than, less than, or equal to the magnitude of the momentum of puck 2 at the same instant? Explain the reasoning you used in making this comparison. c. When puck 1 crosses the second dotted line, is the kinetic energy of puck I greater than, less than, or equal to the kinetic energy of puck 2 at the same instant? Explain the reasoning you used in making this comparison.

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Changes in energy and momentum worksheet

**Exercise HW-54**

**Problem Statement:**

Two identical pucks slide across a level, frictionless table. Initially, the pucks have the same speed, but their velocities are perpendicular to each other as shown.

*A diagram shows Puck 1 moving horizontally to the right with an initial velocity \( \vec{v_1} \) and Puck 2 moving vertically downward with an initial velocity \( \vec{v_2} \). Both pucks experience a force \( \vec{F} \) in their respective opposite directions.*

The same constant force is exerted on each puck *for the same interval of time*: from the instant shown until puck 1 crosses the second dotted line. The pucks remain on the table and do not collide during this time interval.

**Questions:**

a. When puck 1 crosses the second dotted line, is puck 2 to the left of, to the right of, or crossing the second dotted line? Explain how you can tell.

b. When puck 1 crosses the second dotted line, is the magnitude of its momentum greater than, less than, or equal to the magnitude of the momentum of puck 2 at the same instant? Explain the reasoning you used in making this comparison.

c. When puck 1 crosses the second dotted line, is the kinetic energy of puck 1 greater than, less than, or equal to the kinetic energy of puck 2 at the same instant? Explain the reasoning you used in making this comparison.

**Diagram Explanation:**

The diagram includes two pucks with arrows indicating their initial velocities and the direction of force applied. Puck 1 has an initial horizontal velocity directed right and is subject to a force directed left, while Puck 2 has an initial vertical velocity directed downward and is subject to a force directed upward. There are two dotted lines, with the scenario describing when puck 1 reaches the second dotted line.
Transcribed Image Text:**Exercise HW-54** **Problem Statement:** Two identical pucks slide across a level, frictionless table. Initially, the pucks have the same speed, but their velocities are perpendicular to each other as shown. *A diagram shows Puck 1 moving horizontally to the right with an initial velocity \( \vec{v_1} \) and Puck 2 moving vertically downward with an initial velocity \( \vec{v_2} \). Both pucks experience a force \( \vec{F} \) in their respective opposite directions.* The same constant force is exerted on each puck *for the same interval of time*: from the instant shown until puck 1 crosses the second dotted line. The pucks remain on the table and do not collide during this time interval. **Questions:** a. When puck 1 crosses the second dotted line, is puck 2 to the left of, to the right of, or crossing the second dotted line? Explain how you can tell. b. When puck 1 crosses the second dotted line, is the magnitude of its momentum greater than, less than, or equal to the magnitude of the momentum of puck 2 at the same instant? Explain the reasoning you used in making this comparison. c. When puck 1 crosses the second dotted line, is the kinetic energy of puck 1 greater than, less than, or equal to the kinetic energy of puck 2 at the same instant? Explain the reasoning you used in making this comparison. **Diagram Explanation:** The diagram includes two pucks with arrows indicating their initial velocities and the direction of force applied. Puck 1 has an initial horizontal velocity directed right and is subject to a force directed left, while Puck 2 has an initial vertical velocity directed downward and is subject to a force directed upward. There are two dotted lines, with the scenario describing when puck 1 reaches the second dotted line.
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