Calculating Work and Force: Solving a Simple Amusement Park Problem

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Sam, working at an amusement park, needs to calculate the work done and force applied to stop a boat of children moving at 1.2 m/s with a mass of 1200 kg. He slows the boat to rest over a distance of 1.75 m while pushing at a 30-degree angle. To find the work done, the correct approach involves calculating the force applied and the distance over which it was applied. The discussion highlights the importance of using kinematic equations to determine acceleration, which is necessary for calculating the force exerted by Sam. Overall, the calculations require understanding the relationship between force, work, and motion dynamics.
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Sam works at an amusement park. A boat of children on a water ride comes the the pier at the end of the ride. They are moving at a constant speed of 1.2 m/s, and the loaded boat has a mass of 1200kg. Sam slows the boat down by pushing on it until it comes to rest at the pier. If he stops it in a distance of 1.75m, and his arms make a 30o angle above the horizontal,

* a) how much work did Sam do on the boat?
* b) how large a force did he apply to the boat?


I thought if I added the mass X gravity that would five me force.
Then I took F cos theta X s to get 1.51 J
and the foce would be 11760.

I am not sure if that is right.

Please any help would be great!
 
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First find out the acceleration of the boat using kinematic data given...and calculate the force applied by Sam.
 
I don't understand how you would solve for acceleration.
 
Rha1828 said:
They are moving at a constant speed of 1.2 m/s … Sam slows the boat down by pushing on it until it comes to rest at the pier. If he stops it in a distance of 1.75m …
Rha1828 said:
I don't understand how you would solve for acceleration.

Hi Rha1828! :smile:

Just use one of the standard constant acceleration equations. :wink:
 
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