Find constant speed using mass and power

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SUMMARY

The problem involves calculating the constant speed of a forklift lifting a 613.0 kg mass using a power output of 950 W. The relevant equations include power (P = W/Δt), work (W = Fapp * Δd), and gravitational force (Fg = mg). By substituting the gravitational force into the power equation and recognizing that velocity (v) is equal to distance (Δd) over time (Δt), the solution can be derived. The final calculation confirms the constant speed of the forklift while lifting the load.

PREREQUISITES
  • Understanding of basic physics concepts such as power, work, and force.
  • Familiarity with the equations of motion and their applications.
  • Knowledge of gravitational force calculations.
  • Ability to manipulate algebraic equations to isolate variables.
NEXT STEPS
  • Study the relationship between power, work, and energy in mechanical systems.
  • Learn how to apply Newton's laws of motion to real-world scenarios.
  • Explore the concept of efficiency in lifting mechanisms.
  • Investigate the impact of varying mass and power on speed calculations.
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Students in physics courses, engineers working with mechanical systems, and anyone interested in understanding the dynamics of lifting operations.

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Find constant speed using mass and power [SOLVED]

Homework Statement


A 613.0 kg mass is placed on a forklift that can generate 950 W of power. What is the constant speed of the forklift while lifting this load?


Homework Equations


P = W/▲t
W=Fapp*▲d
Fg=mg


The Attempt at a Solution


I am not sure where to go from here, I can't rearrange P = W/▲t to solve for t without having work. I can't find W=Fapp*▲d without d or by rearranging P. I can't find d with the variables given or by rearranging W. Any help is appreciated!
 
Last edited:
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P=(Fapp*▲d)/▲t
P=((mg)*▲d/▲t)

note v=▲d/▲t
insert values and isolate for v
 
VanOosten said:
P=(Fapp*▲d)/▲t
P=((mg)*▲d/▲t)

note v=▲d/▲t
insert values and isolate for v

Thanks! Can't believe I overlooked that. Question is solved
 

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