What is the distance traveled by the block in the next 5.70 s?

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A dockworker applies a constant horizontal force of 74.0 N to a block of ice, allowing it to move 13.0 m in 4.50 seconds. After this period, the worker stops pushing, and the block continues to move due to its momentum. The key to solving the problem is determining the velocity at the end of the 4.50 seconds, which is calculated as 5.78 m/s. This velocity is then used to find the distance traveled in the subsequent 5.70 seconds. The final distance can be calculated using the formula distance = velocity × time.
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Homework Statement


A dockworker applies a constant horizontal force of 74.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves a distance 13.0 m in a time 4.50 s.

If the worker stops pushing at the end of 4.50 s, how far does the block move in the next 5.70 s?

Homework Equations



F=MA

The Attempt at a Solution



I solved for mass, using the equation,

m = 57.6


now that I know mass

how do I get started?

I tried doing (74/57.6)5.70
 
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You don't need the mass in this question or the force. You just need the velocity at the end of the 4.50s.

Then you answer would be v*5.70s
 
velocity should be then 13/4.50? am i right..
 
Heat said:
velocity should be then 13/4.50? am i right..

No. That is only for constant velocity... the block is accelerating.
 
would velocity then be 5.78m/s?
 
Heat said:
would velocity then be 5.78m/s?

Yup.
 
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