Power needed to overcome friction and gravity

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Homework Help Overview

The problem involves calculating the power required to overcome friction and gravity while dragging a packing case up an incline. The incline is specified as 1 in 5, and the case weighs 1000N with a frictional resistance of 240N. The context is rooted in physics, specifically in mechanics and energy considerations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of power needed to overcome friction and gravity, with some questioning the approach to the incline and the correct application of units. There are attempts to clarify the relationship between work, force, and displacement, particularly regarding gravitational potential energy.

Discussion Status

The discussion is ongoing, with some participants providing guidance on the calculations and the definitions of power and work. There is a mix of correct and incorrect interpretations, and participants are exploring different aspects of the problem without reaching a consensus.

Contextual Notes

Participants note the importance of checking arithmetic and adhering to the forum's protocol of guiding rather than providing complete solutions. There is an emphasis on understanding the implications of the incline on the calculations.

bungouk
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Homework Statement



Hi all please could you take a look at this question and help me

1) A packing case weighing 1000N is loaded onto the back of a lorry by being dragged up an incline of 1 in 5 at a steady speed of 2m/s. the frictional resistance to motion is 240N, Calculate:
a. The power required to overcome friction

b. The power needed to overcome gravity
c. The total power needed


The problem I have is i don't know what i need to do to the incline.
Please could someone guide me

Homework Equations



Power needed to overcome friction = friction force * velocity along surface

The Attempt at a Solution


Part a.
Power needed to overcome friction = friction force * velocity along surface
Power needed to overcome force = 240N * 2m/s = 480N
Therefore power need is 480N to overcome the friction.



Now not sure if part a is correct also I'm stuck with part b. i don't know what to do now
 
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Work is defined as the product of force and the displacement in the direction of the force. For gravity that would be the vertical displacement. Think about the consequences for power.
 
bungouk said:
Power needed to overcome force = 240N * 2m/s = 480N
Therefore power need is 480N to overcome the friction.
Right number, wrong units.
 
For b)...

As it goes up the slope it's height and therefore it's PE is changing. Power is the rate of change of energy.
 
bungouk said:

Homework Statement



Hi all please could you take a look at this question and help me

1) A packing case weighing 1000N is loaded onto the back of a lorry by being dragged up an incline of 1 in 5 at a steady speed of 2m/s. the frictional resistance to motion is 240N, Calculate:
a. The power required to overcome friction

b. The power needed to overcome gravity
c. The total power needed

in my mind, incline of 1 in 5 as figured bellow
block_on_incline.png


a. answered.. P_{friction}=480 joule/s = 480watt
b. to overcome gravity
P_{g}=mg.sin θ v= 1000 \frac {1} {5} 2watt

c. P_{total}=480+200=680watt
 
arifz2303 said:
b. to overcome gravity
P_{g}=mg.sin θ v= 1000 \frac {1} {5} 2watt

c. P_{total}=480+200=680watt

1. The protocol on these homework fora is to nudge people in the right direction, not write out complete solutions.
2. Check your arithmetic.
 

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