Force on an Accelerating Car: Calculating the Net Force

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SUMMARY

The net force exerted on a car with a mass of 710 kg, which accelerates from rest to travel 40.0 m in 3.0 seconds, is calculated to be 6319 N. The acceleration was determined using the equation d = v0t + 0.5at², resulting in an acceleration of 8.9 m/s². The force was then calculated using F = m•a, confirming the net force value. This calculation is essential for understanding the dynamics of motion in physics.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with kinematic equations
  • Basic algebra skills for manipulating equations
  • Knowledge of units of force (Newtons)
NEXT STEPS
  • Study kinematic equations in detail, focusing on their applications in physics
  • Learn about Newton's laws of motion and their implications in real-world scenarios
  • Explore the concept of net force and its calculation in various contexts
  • Investigate the relationship between mass, acceleration, and force in different systems
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Students in physics courses, educators teaching mechanics, and anyone interested in the principles of motion and force calculations.

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Hello, since this is a new topic in class I just want to check that I am doing the question correctly.
Given:
car mass = 710kg
starts from rest
v0 = 0
travels 40.0m in 3.0s
d = 40.0m
t = 3.0s

Question:
What is the net force exerted on the car?
F = ___N

Work:
First I calculated acceleration:
d = v0t + 0.5at2
40 = 0 + 0.5a32
40 = 4.5a
a = 8.888 => 8.9

Then force:
F = m•a
F = 710•8.9
Answer:
F = 6319N

Is this correct? Thank you in advance.
 
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Looks OK, but please follow the template next time you post.
 
Thank you. I included all the information which the template asks for; I just found it easier to to format as I did.
 

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