How do I find force given mass and constant velocity

AI Thread Summary
To find the force exerted by a tractor towing a 3900kg trailer up a 16-degree incline at a constant speed of 3.0 m/s, it's important to recognize that constant speed indicates zero acceleration. Therefore, the net force acting on the trailer is zero, and the force exerted by the tractor must balance the gravitational force component acting down the incline. The gravitational force can be calculated using the weight of the trailer and the incline angle. Since friction is ignored, the relevant equations involve gravitational potential energy and the relationship between power, energy, and time. Understanding these concepts is crucial for solving the problem effectively.
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Homework Statement


A farm tractor tows a 3900kg trailer up a 16degree incline with a steady speed of 3.0 m/s. What force does the tractor exert on the trailer? (Ignore friction)


Homework Equations


F=ma
W=mg


The Attempt at a Solution


I haven't the slightest clue on where to start
 
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Solid said:

Homework Statement


A farm tractor tows a 3900kg trailer up a 16degree incline with a steady speed of 3.0 m/s. What force does the tractor exert on the trailer? (Ignore friction)


Homework Equations


F=ma
W=mg


The Attempt at a Solution


I haven't the slightest clue on where to start

Since the speed is constant, acceleration is zero, so F=ma gives you zero force for any acceleration.

Instead, use energy considerations. What it the change in gravitational potential energy (PE) per time for that tractor with that weight moving upward? And what is the equation that relates Power, Energy and Time?
 
Oh, we're not that far into it. We haven't studied energy yet. This question doesn't take into account Normal force either. We have many formulas relating displacement, time, acceleration, and velocity, but I don't think any of them come into play.

We also have Fx = Fxcosx Fy= Fycosy; x and y are theta
 
\SigmaF = -Ff + Fg = ma (0 since it's constant velocity)
mukFN + mg = 0

There's what you get from the FBD.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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