Finding distance using force, acceleration, time

AI Thread Summary
A dockworker applies a constant force of 89.0N to a block of ice, causing it to move 12.5m in 5.10s on a smooth surface with negligible friction. The mass of the block is determined using the equations of motion and Newton's second law, F=ma. For part B, the worker needs to calculate the distance the block travels after stopping, which requires finding the final velocity at the end of the initial push. The correct approach involves using the relationship between acceleration, distance, and time to find the block's continued motion after the force is removed. The final distance calculation is clarified as being for an additional 5.30s after the initial push, leading to the correct answer.
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A dockworker applies a constant horizontal force of 89.0N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves a distance 12.5m in a time 5.10s .
A)What is the mass of the block of ice?
B)If the worker stops pushing at the end of 5.10s , how far does the block move in the next 5.30s ?

2. Homework Equations : F=ma


3. The Attempt at a Solution : well i was able to solve part A by using the equation
deltaD=(v1+v2)/deltaT to find v2. and then i used a=(v2-v1)/deltaT and plugged it into F=ma to find the mass.
For part B, i tried using the same equation for finding distance, however it could not be done cause i do not know how to find v2, and if i plug in 0 as v2, i get a wrong answer.

so basically i need help in solving part B of this problem. thanks.
 
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xmflea said:
A dockworker applies a constant horizontal force of 89.0N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves a distance 12.5m in a time 5.10s .
A)What is the mass of the block of ice?
B)If the worker stops pushing at the end of 5.10s , how far does the block move in the next 5.30s ?

2. Homework Equations : F=ma


3. The Attempt at a Solution : well i was able to solve part A by using the equation
deltaD=(v1+v2)/deltaT to find v2. and then i used a=(v2-v1)/deltaT and plugged it into F=ma to find the mass.
For part B, i tried using the same equation for finding distance, however it could not be done cause i do not know how to find v2, and if i plug in 0 as v2, i get a wrong answer.

so basically i need help in solving part B of this problem. thanks.

Welcome to PF.

Don't you want to consider the relationship between x, a, and t?

x= 1/ 2 * a * t2

If you find a, then F = ma gives you the mass as I think you already know.

Part b can be determined by finding the V from

V2 = 2*a*x

That times t gives you distance.
 
you mean V^2=2 x .96 x 12.5? that gives me V=4.9, which i already had to use for part A. and if i do 4.9 x 0.2s. i get .98m, which is not the right distance
 
oh wait nvm, i was reading the question wrong, i thought it was asking what the distance was after 5.3 seconds from 5.1 seconds. i didnt know it meant it was asking the distance after 5.3 MORE seconds. thanks, i got the right answer now.
 
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