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

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To find the mass of a particle brought to rest by a constant net force, the initial velocity is 26.2 m/s, and the force applied is 542 N over a distance of 69.2 m. The acceleration is calculated using kinematic equations, yielding approximately 14.886 m/s². To find the mass, the relationship F=ma is used, where the force is equal to the mass times the acceleration. The correct approach involves calculating the time taken to stop and then applying the momentum equation. The discussion emphasizes using kinematic equations effectively to solve for mass.
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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