Calculating Work Done by a Child Pulling a Toy Car

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SUMMARY

The discussion centers on calculating the work done by a child pulling a toy car using the formula work = force x displacement. Given a force of 123 N at a 25-degree angle and a displacement of 10 meters, the calculated work is 1114.8 J. The child's height and the car's mass do not impact the work calculation, confirming that only the force and displacement are relevant in this scenario.

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  • Familiarity with trigonometric functions, particularly cosine.
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j doe
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Homework Statement


A child 1.52 meters tall pulled a 2.54 kg toy car for 10 meters. The car has a string attached to it, and when pulled creates a 25 degree angle from the horizon. If the string has a force of 123 N on it while being pulled, how much work did the child do?

Homework Equations


work = force x displacement

The Attempt at a Solution


W = (123 N)(10 m) cos(25 degrees) = 1114.8 J

is this correct? does the child's height have anything to do with the problem?
 
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j doe said:
W = (123 N)(10 m) cos(25 degrees) = 1114.8 J

is this correct?
Yep! Good!

j doe said:
does the child's height have anything to do with the problem?
Nope. (Neither does the car's mass.)
 
Seems okay to me and no, the child's height is irrelevant.
 

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