Finding Magnitude of Acceleration using the force

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SUMMARY

The discussion focuses on calculating the friction force and the magnitude of acceleration for two locked sliding cars with masses of 2000 kg and 3000 kg, respectively. The coefficient of friction is 1.5, and the gravitational acceleration is 9.81 m/s². The friction force was correctly calculated as 73575 N using the formula Ff = coefficient of friction x total mass x gravitational acceleration. To find the magnitude of acceleration, participants confirmed the use of Newton's second law, specifically the formula a = F/m, where F is the friction force and m is the total mass of the cars.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of friction force calculations
  • Familiarity with gravitational acceleration (9.81 m/s²)
  • Basic algebra for solving equations
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  • Learn how to apply Newton's second law in various scenarios
  • Study friction force calculations in different contexts
  • Explore the effects of different coefficients of friction on motion
  • Investigate the impact of angles on force calculations in physics
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Students studying physics, particularly those focusing on mechanics, as well as educators and anyone interested in understanding the principles of motion and friction in real-world applications.

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Homework Statement


Car 1: 2000 kg
Car 2: 3000 kg
coefficient of friction: 1.5
angle of movement: 40 degrees North of East
displacement of vehicles: 6.0 m

What was the friction force that acted upon the locked sliding cars to stop them?

What was the magnitude of the acceleration that this force produced on the sliding cards sliding together?


Homework Equations



Ff = coe of fric x mass x 9.81

The Attempt at a Solution



so to figure out the friction force I did:
(1.5)(2000 + 3000)(9.81) = 73575 N

but I don't know how to figure out the magnitude of acceleration!
would the formula be this? coe of fric x 9.81 ?

If that isn't the formula can someone please help me?
 
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Use Newton's second law.
 

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