Newtons 2nd Law - Acceleration Problem

AI Thread Summary
To determine the time it takes for a 50 kg cyclist on a 10 kg bike to reach a speed of 4 m/s with a resultant force of 48 N, the relevant equations are F=ma and Vf=Vi + at. The total mass is 60 kg, and the acceleration can be calculated using the net force of 48 N. The confusion arises from misinterpreting the resultant force; it represents the net force acting on the system, not an opposing force. Clarifying this concept is essential for solving the problem correctly.
Speedking96
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Homework Statement



Starting from a rest position, how long will it take a 50 kg cyclist riding a 10 kg bike to reach a speed of 4 m/s if the resultant force acting on the bicycle is 48 N?

Homework Equations



F=ma
Vf=Vi + at


The Attempt at a Solution



F=ma
(F-48)=(50+10)(a)

At this point I have to unknowns and one apparent equation.
 
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Speedking96 said:
F=ma
(F-48)=(50+10)(a)

At this point I have to unknowns and one apparent equation.
You are told that the resultant force is 48 N, so why did you write "F - 48"?
 
What is your reasoning for the left side of the equation?
 
Speedking96 said:
1.
F=ma
(F-48)=(50+10)(a)

The resultant force means the net force.It's not the opposite force
 

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