Fnet=P-Pc=24-117.6=-93.6NFind Force Needed to Move 4kg Box in 3s

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To find the force needed to move a 4kg box from rest to a velocity of 6m/s in 3 seconds, the acceleration is calculated as 2m/s². The gravitational force acting on the box is 39.2N, and the force of friction, given the coefficient of friction of 0.05, is 1.96N. The net force required for the box to achieve the desired acceleration is 8N. Therefore, the total applied force must overcome both friction and provide the net force, resulting in a required force of 49.16N. This calculation confirms the necessary force to move the box under the given conditions.
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Homework Statement


A certain force moves a 4kg box from rest to a velocity of 6m/s in 3 seconds. If the coefficient of friction between the box and floor is 0.05, what is the magnitude of the force?

m=4kg
v0=0
v=6m/s
t=3s
μk=0.05

Homework Equations


a=v/t
F0=mg
P=Ft
P=mv

The Attempt at a Solution


a=(6)/(3)=2m/s
F0=(4)(9.8)=39.2N
Pc=(39.2)(3)=117.6
P=(4)(6)=24
 
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bearsa113609 said:

Homework Statement


A certain force moves a 4kg box from rest to a velocity of 6m/s in 3 seconds. If the coefficient of friction between the box and floor is 0.05, what is the magnitude of the force?

m=4kg
v0=0
v=6m/s
t=3s
μk=0.05

Homework Equations


a=v/t
F0=mg
P=Ft
P=mv

The Attempt at a Solution


a=(6)/(3)=2m/s
F0=(4)(9.8)=39.2N
Pc=(39.2)(3)=117.6
P=(4)(6)=24

HINT:
You've found the acceleration. Can you use that to find the net force, and then, from there, the unknown applied force?You don't need momentum or impulse for this problem.
 


thank you so much
 
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