Newtons second law about momemtum

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SUMMARY

The discussion centers on calculating the final velocity of a 10 kg mass acted upon by a 10 N force for 10 seconds. The user initially applied the formula F = change in momentum / time but arrived at an incorrect final velocity of 10 m/s. The correct final velocity, as confirmed by multiple users, is 20 m/s, derived from the correct application of Newton's second law and kinematic equations. The key takeaway is the importance of correctly applying the relationship between force, mass, and acceleration in momentum calculations.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with momentum and its calculation
  • Basic knowledge of kinematic equations
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of Newton's second law: F = ma
  • Learn how to calculate momentum: p = mv
  • Explore kinematic equations for uniformly accelerated motion
  • Practice solving problems involving force, mass, and acceleration
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This discussion is beneficial for physics students, educators, and anyone interested in mastering the concepts of force, momentum, and motion in classical mechanics.

Nickles
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Homework Statement


a mass of 10kg, initially at rest, is acted on by a force of 10N for 10 s. What is the final velocity of the mass?


Homework Equations



i think this equation should help: F= change in momentum/ time


The Attempt at a Solution



hey everyone i am out of school so far for the summer but i love physics so much thta i want to self study it over the entire summer and so far so god butr i can't get this problem. please help me.

i tried using the formual above and here ARE MY STEPS

F= mv-mu/ t

10N= {10kgx V- 10kg x 0 m/s) / 10s
10= 10kg x V- 0/ 10s
10N x 10s= 10 x v
100/10= 10
v= 10

but my book says the answer is 20 m/s as the answer and i have no idea how they arrived at this answer, i am not really that good AT QUESTIONS LIKE THIS BUT I LOVE P[HYSICS SO MUCH THAT I AM WILLING TO LEARN SO any help will be truly appreciated . i think i might be using the wrong formula.
 
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Your answer is correct; the book's is not. (Hopefully you have the right problem.)
 
yes it is the same question in the book and i double checked, but this book is so consistent and is written by top examination setters in the carribbean and head of physics department at the top college in my country. i know that they too can make mistakes but i want to be truly sure that i have the correct answer or if i made a mistake
 
Nickles said:

Homework Statement


a mass of 10kg, initially at rest, is acted on by a force of 10N for 10 s. What is the final velocity of the mass?


Homework Equations



i think this equation should help: F= change in momentum/ time


The Attempt at a Solution



hey everyone i am out of school so far for the summer but i love physics so much thta i want to self study it over the entire summer and so far so god butr i can't get this problem. please help me.

i tried using the formual above and here ARE MY STEPS

F= mv-mu/ t

10N= {10kgx V- 10kg x 0 m/s) / 10s
10= 10kg x V- 0/ 10s
10N x 10s= 10 x v
100/10= 10
v= 10
but my book says the answer is 20 m/s as the answer and i have no idea how they arrived at this answer, i am not really that good AT QUESTIONS LIKE THIS BUT I LOVE P[HYSICS SO MUCH THAT I AM WILLING TO LEARN SO any help will be truly appreciated . i think i might be using the wrong formula.


Remember to label the units as I know teachers who take off points for not labeling. Plus you should get into the habit of doing so.:wink:


WOOT 100 POST COUNT!!!!! o:)
 
Last edited:
Nickles said:
yes it is the same question in the book and i double checked, but this book is so consistent and is written by top examination setters in the carribbean and head of physics department at the top college in my country. i know that they too can make mistakes but i want to be truly sure that i have the correct answer or if i made a mistake
To convince yourself that your answer is correct, try solving it in a different way. For example: Find the acceleration of the mass, then use kinematics.
 

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