Find m, the mass of the particle Assume friction can be ignored

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SUMMARY

The discussion centers on calculating the mass of a particle subjected to a constant net force of 542 N, initially moving at 26.2 m/s and brought to rest over a distance of 69.2 m. The correct approach involves using the kinematic equation \(v_{final}^2 - v_{initial}^2 = 2as\) to find acceleration, which was calculated incorrectly as 14.886 m/s². The correct mass can be determined using \(F = ma\) after accurately calculating acceleration.

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  • Concept of momentum and its relation to force
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shenwei1988
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A particle of mass m is initially moving 26.2 m/s. It is brought to rest by a constant net 542 N force in a distance of 69.2 m. Find m, the mass of the particle Assume friction can be ignored.


F=ma

the F is 542, i use V(initial)=26.2m/s and V(final)=0m/s S(distance)=69.2 to find A(acceleration). and the answer i got is a=14.886. then i use F=ma, but its wrong, anybody can help?``thank you
 
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How did you manage to get a=14.886?? Presumably, m/s^2.
 
THIS SHOULD BE ENOUGH FOR DATA HELP:

Rate of change of momentum = force applied i.e. [m*v]/t=force
Calculate time using simple kinematic equations.. and then use the above equation...
 
physixguru said:
THIS SHOULD BE ENOUGH FOR DATA HELP:

Rate of change of momentum = force applied i.e. [m*v]/t=force
Calculate time using simple kinematic equations.. and then use the above equation...

For the constant force case, [m*v]/t=force is m*dv/dt=force. Or F=ma. I think shenwei1988 knows that.
 
sorry, i am very stupid. still gOt the wrong answer.
i get 69.2/26.2=2.64=t
m*v(26.2)/2.64=F
F=54.6
 
You want to use v(final)^2-v(initial)^2=2*a*s to find a.
 
question solved thanks a lot
 

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