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Name Period Date 1. A cardboard box sits at rest on a rough, concrete, horizontal floor. a. Draw a qualitative (no numbers) velocity vs. time graph for the box showing the time period while it sits at rest. velocity Balanced Forces Worksheet 1 time c. Since the shape of the box is unimportant, shrink it to a point. Then draw and clearly label each force acting on the box. Be sure to note the relative sizes of the various forces. (i.e. FN Fg , or FT F fk etc.) d. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No 2. A person now shoves the box horizontally so that it begins to move. a. Draw a qualitative (no numbers) velocity vs. time graph for the box showing the time period while the person is touching the box and shoving it. velocity b. Draw a system schema for this situation. time b. Draw a system schema for the time period while the person is shoving the box. c. Draw and label a force diagram for the box during the time period while the person is shoving the box. Be sure to note the relative sizes of the various forces. d. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No page 2 3. The box now loses contact with the person’s hands and slides across the rough floor. a. Draw a qualitative (no numbers) velocity vs. time graph for the box showing the time period after the box loses contact with the person’s hands. velocity Balanced Forces Worksheet 1 time b. Draw a system schema for the box after it leaves contact with the person’s hands. c. Draw and label a force diagram for the box after it leaves contact with the person’s hands. Be sure to note the relative sizes of the various forces. d. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No velocity 4. Suppose that we could somehow succeed in making the floor completely frictionless. Just as in problems #1-3 the box sits at rest for a while, then is pushed so that it starts to move, and then loses contact with the person’s hands and moves across the now frictionless floor. a. Draw a qualitative (no numbers) velocity vs. time graph for the box showing all three periods of time on one graph. time b. Draw a system schema and a properly labeled force diagram for the time period while the box is at rest on the horizontal floor. Be sure to note the relative sizes of the various forces. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No Balanced Forces Worksheet 1 page 3 c. Draw a system schema and a properly labeled force diagram for the time period while the person is still shoving the box. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No d. Draw a system schema and a properly labeled force diagram for the time period after the box loses contact with the person's hands. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No velocity 5. Return to the case of the cardboard box resting on the concrete floor with some friction. The box sits at rest for a while after which a person pushes it hard enough to start it into motion, and then the person continues pushing so that it maintains a constant velocity. a. Draw a qualitative (no numbers) velocity vs. time graph for the box showing all three periods of time on one graph. time Balanced Forces Worksheet 1 page 4 b. Draw a system schema and a properly labeled force diagram for the time period while the box is at rest on the horizontal floor. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No c. Draw a system schema and a properly labeled force diagram for the time period while the person is pushing the box so that it is speeding up. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No d. Draw a system schema and a properly labeled force diagram for the time period while the box moves with a constant velocity. Circle the correct answers. Is the box moving at constant velocity? Yes Are the forces balanced? Yes No No velocity e. After pushing the box with a constant velocity for a while, you reduce your force to half the value needed to maintain a constant velocity. Draw a new qualitative (no numbers) velocity vs. time graph for the box showing all four periods of time on one graph. time