Calculating Work Homework: Mass 2400kg, Displ. 200m, Vi 26.5m/s, Vf 30m/s

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To calculate the work done on a car with a mass of 2400 kg that accelerates from an initial velocity of 26.5 m/s to a final velocity of 30 m/s over a displacement of 200 m, the formula W = (1/2)m(Vf^2 - Vi^2) can be used. Some participants noted that displacement may not be necessary for this calculation, as the change in kinetic energy alone suffices. Others suggested using displacement to determine acceleration and then applying Newton's law to find force, ultimately leading to the same work result. The discussion highlighted the importance of discerning relevant information in problem-solving. Both methods yield the same answer, emphasizing different approaches to the same physics problem.
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Homework Statement


calculate work when mass of car is 2400kg and displacement is 200m the car travels at velocity of 26.5m/s then speeds up to 30m/s

Homework Equations


M- 2400 kg
Vi - 26.5m/s
Vf- 30 m/s
D- 200 m

The Attempt at a Solution


I am struggling with figuring out how to solve this problem would i have to use the formula w = Ek - Ek? But theb i don't end up usinh displacement is there no need to use it here? Does the question have too much information given?
 
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Veronica_Oles said:
Does the question have too much information given?
What do you think and why?
 
There are two ways to solve the problem and both give the same answer.
 
Orodruin said:
What do you think and why?
I think that yes u can solve without displacement. Thats the way i make sense of the question Ek final minus Ek initial!
 
Veronica_Oles said:

Homework Statement


calculate work when mass of car is 2400kg and displacement is 200m the car travels at velocity of 26.5m/s then speeds up to 30m/s

Homework Equations


M- 2400 kg
Vi - 26.5m/s
Vf- 30 m/s
D- 200 m

The Attempt at a Solution


I am struggling with figuring out how to solve this problem would i have to use the formula w = Ek - Ek? But theb i don't end up usinh displacement is there no need to use it here? Does the question have too much information given?

use ##W = {1\over 2}m(v_f^2 - v_i^2)##
 
You can also solve it by using the displacement and the equations of motion to calculate the acceleration. Then apply Newtons law to give the force. Then work = force * distance. Gives same answer as calculating the change in KE.
 
Veronica_Oles said:
But theb i don't end up usinh displacement is there no need to use it here?
Have you quoted the whole question, word for word? It reads a bit strangely.
If so then I applaud the question setter. It should happen much more often that questions include redundant information. Figuring out which information is useful is a necessary skill in the real world.
 
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