Find the net force (in Newtons)

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Homework Help Overview

The discussion revolves around calculating the net force required to accelerate a bike and rider from rest to a specified final velocity over a set time period. The subject area includes concepts from kinematics and Newton's laws of motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between force, mass, and acceleration, with initial confusion regarding the use of velocity in place of acceleration. There are attempts to clarify the distinction between these concepts and to derive acceleration from given values.

Discussion Status

The discussion is active, with participants providing feedback on each other's reasoning. Some guidance has been offered regarding the correct approach to finding acceleration, and there is a recognition of the need to apply Newton's second law appropriately.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information available for discussion. There is an emphasis on understanding the definitions and relationships between physical quantities involved.

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Find the net force (in Newtons) required to accelerate a 110 kg bike and rider from rest to a final velocity of 22.7 m/s in 10 seconds?

since f=ma 110(22.7)=2497 do I divide that by 10 seconds??
 
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No. Think about it. If you tried what you are suggesting, your result would have dimensions of [force]/[time], which is not physically meaningful here. You're looking for a force. To get the force, you need to know the acceleration so that you can apply Newton's second law, as you correctly stated. However, you made a mistake. You substituted the velocity (22.7 m/s) in for the acceleration. Velocity is not acceleration -- they are two very different things! I hope you understand how they differ.

In this problem, the acceleration is an unknown. To find it, you will need to consider the kinematics of the problem. ;)
 


cepheid said:
No. Think about it. If you tried what you are suggesting, your result would have dimensions of [force]/[time], which is not physically meaningful here. You're looking for a force. To get the force, you need to know the acceleration so that you can apply Newton's second law, as you correctly stated. However, you made a mistake. You substituted the velocity (22.7 m/s) in for the acceleration. Velocity is not acceleration -- they are two very different things! I hope you understand how they differ.

In this problem, the acceleration is an unknown. To find it, you will need to consider the kinematics of the problem. ;)

Thanks for pointing that out. So to find acceleration a=v2-v1/10s
I get a=22.7-0/10=2.27?
 


Yeah that looks right to me, provided you assume the acceleration is constant. Acceleration = (change in velocity) / (change in time).
 


cepheid said:
Yeah that looks right to me, provided you assume the acceleration is constant. Acceleration = (change in velocity) / (change in time).

So the final answer would be
ma=110(2.27)=249.7N?
 

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