How Much Power Is Required to Accelerate a Box with Friction Involved?

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Homework Help Overview

The problem involves calculating the power required to accelerate a 5.0 kg box from an initial velocity of 2.0 m/s to a final velocity of 8.00 m/s over a time period of 1.8 seconds, while considering the effect of friction with a coefficient of 0.220.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of net force and the role of friction in determining the total force needed for acceleration. Questions arise regarding the integration of the coefficient of friction into the calculations for work and net force.

Discussion Status

Some participants have provided insights on how to account for friction in the calculations, while others are seeking clarification on the application of these concepts to the work-energy relationship. The discussion reflects a mix of interpretations and approaches without reaching a consensus.

Contextual Notes

Participants are navigating the implications of the coefficient of friction and its relevance to the net force and work calculations. There is an acknowledgment of the need to determine the distance the box moves during the acceleration phase, which remains unspecified.

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Homework Statement



A 5.0 kg box is sliding across the floor at 2.0 m/s when it is accelerated to 8.00 m/s in 1.8 s. If the coefficient of friction is .220 how much power is required to accelerate the box?

m = 5.0 kg vi= 2.0 m/s vf = 8.00 m/s change in time = 1.8 s coefficient = .22

Homework Equations



Power = Work (W) / change in time (t)
W= Fnetd

Fnet = ma

The Attempt at a Solution


P= w/ t

w= FNetd

Heres my issue. I know Fnet(net force) = ma, which i can easily calculate. The problem is where do i use the coefficient of friction they gave me. Do I need to use it, if i already have Fnet?
 
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You find the force acting against the box and take that away from the force required to accelerate the box to get the net force.
 
Last edited:
So what do i use for the w= Fnetd calculation?
 
F(net)=F(applied)-F(friction)
D= distance the box moved after acceleration
 

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