A body thrown upwards with some external force

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Homework Help Overview

The problem involves a ball of mass 1 kg that is subjected to an external upward force of 100 N immediately upon release. The inquiry focuses on determining how high the ball will ascend as a result of this force.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the implications of the external force and its relationship to the initial velocity and acceleration of the ball. There are questions about the completeness of the problem, particularly regarding the duration of the force application and the nature of impulse.

Discussion Status

Some participants have provided insights into the concepts of impulse and momentum, suggesting that the problem may be analyzed through these frameworks. However, there remains a lack of consensus on the necessary information to fully address the question.

Contextual Notes

There is an ongoing discussion about the adequacy of the information provided, particularly regarding the time duration for which the force acts on the ball, which is crucial for determining the resulting motion.

Anjum S Khan
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Homework Statement


A ball of mass of 1Kg is held in hand. The moment it is released from hand, without any delay it is hit by an external force of 100N in upwards direction. How high will the body go ?

Homework Equations

The Attempt at a Solution


I know how to solve if instead of Force we consider initial velocity, then it becomes a standard problem.
 
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Did this problem come from a textbook? Or is it a problem you came up with on your own?

As it stands, there is not enough information to answer the question.
 
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This sounds like an impulse problem:
From (https://en.wikipedia.org/wiki/Newton's_laws_of_motion#Newton.27s_second_law)

"Impulse
An impulse J occurs when a force F acts over an interval of time Δt, and it is given by:
31f32d40451a63d365447185488faed9.png

Since force is the time derivative of momentum, it follows that
b3e1de85baa1adfe7dc442e69b93b45e.png

This relation between impulse and momentum is closer to Newton's wording of the second law.
Impulse is a concept frequently used in the analysis of collisions and impacts."

This should tell you what the instantaneous change in velocity should be from in impulse of 100N.
 
jbriggs444 said:
Did this problem come from a textbook? Or is it a problem you came up with on your own?

As it stands, there is not enough information to answer the question.
I created it on my own.
 
Anjum S Khan said:
I created it on my own.
Knowing the upward force is not enough to know how fast an object will move. It can tell you how fast the object will accelerate. In order to know how fast it will move, you must also know for how long the force is applied.
 
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RUber said:
This should tell you what the instantaneous change in velocity should be from in impulse of 100N.
Except that impulse is not measured in Newtons. It is measured in Newton-seconds.
 

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