Power needed to overcome friction and gravity

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SUMMARY

The discussion focuses on calculating the power required to overcome friction and gravity when dragging a packing case weighing 1000N up a 1 in 5 incline at a steady speed of 2m/s. The power needed to overcome friction is confirmed as 480 watts, calculated using the formula: Power = friction force * velocity. For overcoming gravity, the power is calculated using the formula P_{g} = mg.sin(θ) * v, resulting in a total power requirement of 680 watts when combining both friction and gravitational forces.

PREREQUISITES
  • Understanding of basic physics concepts such as force, power, and energy.
  • Familiarity with trigonometric functions, specifically sine for incline calculations.
  • Knowledge of the relationship between weight, mass, and gravitational force.
  • Ability to perform unit conversions and arithmetic operations in physics contexts.
NEXT STEPS
  • Learn about the principles of work and energy in physics.
  • Study the effects of friction on motion and how to calculate it in various scenarios.
  • Explore the concept of inclined planes and their applications in physics problems.
  • Investigate the relationship between power, force, and velocity in mechanical systems.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in mechanical engineering or related fields who need to understand the calculations of power in systems involving friction and gravity.

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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