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The piston of a machine exerts a constant force on a ball
Chapter 6, Problem 36P(choose chapter or problem)
Problem 36P
The piston of a machine exerts a constant force on a ball as it moves horizontally through a distance of 15 cm. You use a motion detector to measure the speed of five different balls as they come off the piston; the data are shown below. Use theory to find two quantities that, when graphed, should give a straight line. Then use the graph to find the size of the piston’s force.
Mass (g) |
Speed (m/s) |
200 |
9.4 |
400 |
6.3 |
600 |
5.2 |
800 |
4.9 |
1000 |
4.0 |
Questions & Answers
QUESTION:
Problem 36P
The piston of a machine exerts a constant force on a ball as it moves horizontally through a distance of 15 cm. You use a motion detector to measure the speed of five different balls as they come off the piston; the data are shown below. Use theory to find two quantities that, when graphed, should give a straight line. Then use the graph to find the size of the piston’s force.
Mass (g) |
Speed (m/s) |
200 |
9.4 |
400 |
6.3 |
600 |
5.2 |
800 |
4.9 |
1000 |
4.0 |
ANSWER:
Step 1 of 4
We are required to plot a graph from the values given and find the magnitude of the piston's force.