A flea pulls on a puck with force 8 microN at an angle of 75°. Another flea pulls on the puck with force 2 microN at an angle of -45°. (See diagram for angle scale.) Draw vectors on the diagram to scale representing the forces. Carefully add the vectors tip-to-tail. (Use a ruler.) What is the magnitude of the net force on the puck?
We can't do graphical vector addition for you. We also cannot see your diagram.
For a numerical answer, add the x and y components separately, then use the Pythagorean theorem for the magnitude.
(Use the Pythagorean theorem to answer the question.) An airplane takes off going straight west at 340 km/h for 1 hour, then turns and heads south for another hour at 360 km/h before reaching its final destination. What is the airplane's displacement?
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To find the magnitude of the net force on the puck, we need to add the two given forces vectorially. Here's how you can do it:
1. Draw a diagram representing the forces: Start by drawing a horizontal line to represent the surface. Then, draw a line segment to represent the first force of 8 microN at an angle of 75°. Use a protractor to measure the angle accurately. Make sure the length of the line segment is proportional to the magnitude of the force, using a ruler. Label this force as F1.
2. Now, draw another line segment starting from the endpoint of F1. This line segment should represent the second force of 2 microN at an angle of -45°. Again, use a protractor to measure the angle accurately. Label this force as F2.
3. The net force on the puck is the vector sum of F1 and F2. To add the vectors, place the tail of F2 at the tip of F1. The resulting vector from the tail of F1 to the tip of F2 represents the net force on the puck.
4. Measure the length of the resulting vector using a ruler. The length of the vector is proportional to the magnitude of the net force on the puck.
5. Determine the magnitude of the net force by converting the length of the measured vector to the appropriate units. Ensure that the units are consistent with the given forces (microN).
By following these steps, you can determine the magnitude of the net force on the puck.