Worksheet Problem about Power (average power of a car accelerating up a hill)

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SUMMARY

The average power of a 1130 kg car accelerating up a 21 m hill, reaching a speed of 18 m/s in 6.5 seconds, is calculated to be 45887.36 watts. The relevant equations used in this calculation are W = Fd for work and P = W/t for power. The discussion emphasizes the importance of clearly presenting calculations, as one participant noted issues with image uploads and suggested typing out the work instead. Overall, the average power calculation is confirmed to be on the lower side, prompting further review of the methodology.

PREREQUISITES
  • Understanding of basic physics concepts such as work and power
  • Familiarity with the equations W = Fd and P = W/t
  • Knowledge of kinematics, specifically acceleration and velocity
  • Ability to perform algebraic calculations
NEXT STEPS
  • Review the principles of work and energy in physics
  • Learn about the relationship between power, work, and time
  • Explore kinematic equations for motion analysis
  • Practice solving similar problems involving power calculations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of power calculations in real-world scenarios.

Billy Jones
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Homework Statement


A 1130 kg car is initially at rest when it accelerates up a 21 m high hill. When it reaches the top of the hill it is traveling at 18 m/s. If it takes 6.5 s to reach the top of the hill, what was the average power of the car?

Homework Equations


W = Fd
P = w/t

The Attempt at a Solution


My answer was 45887.36 watts. The methodology used can be seen in the attached picture.
hxlUAZF
 

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Welcome to the PF. :smile:
Billy Jones said:
The methodology used can be seen in the attached picture.
hxlUAZF
The image does not show correctly. Try using the UPLOAD button in the lower right of the Edit window to attach a PDF or JPEG image. Please be sure the image is clear and easy to read and doesn't upload sideways. Better yet, just type your work into the forum. Probably it only took a few lines of algebra for you to get to your answer. Thanks.
 
Billy Jones said:

Homework Statement


A 1130 kg car is initially at rest when it accelerates up a 21 m high hill. When it reaches the top of the hill it is traveling at 18 m/s. If it takes 6.5 s to reach the top of the hill, what was the average power of the car?

Homework Equations


W = Fd
P = w/t

The Attempt at a Solution


My answer was 45887.36 watts. The methodology used can be seen in the attached picture.
hxlUAZF
I am not able to open your image link.
Your answer seems on the low side. Please post your working.
 

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