How Do You Calculate the Net Force on an Accelerating Car?

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SUMMARY

The net force acting on an 850 kg car accelerating uniformly from rest to 33 m/s over a distance of 120 m is calculated using Newton's second law, F = ma. The acceleration (a) is determined using the equation v² = u² + 2as, resulting in an acceleration of 4.5375 m/s². Consequently, the net force is calculated as 3856.875 N. This method and calculation are confirmed as correct by forum participants.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Familiarity with kinematic equations, specifically v² = u² + 2as
  • Basic algebra for solving equations
  • Knowledge of units of force (Newtons)
NEXT STEPS
  • Study advanced kinematic equations for varying acceleration scenarios
  • Explore real-world applications of Newton's laws in automotive engineering
  • Learn about friction and its effects on net force calculations
  • Investigate the relationship between mass, acceleration, and force in different contexts
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of force calculations in motion.

discosucks
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Homework Statement



An 850 kg car accelerates uniformly from rest to 33 m/s in a distance of 120 m. What is
the magnitude of the net force acting on the car?

Homework Equations



F = ma

dynamic equations

The Attempt at a Solution



So i think i have this one sorted but just posting to see iv got it right .

Seeing as i need acceleration to find the force i have to find it using the info i have so

a= ?
s= 120
v = 33
u = 0
t = not needed .

v^2=u^2+2as

(33)^2 = 0 + 2(a)120

1089 = 240a

4.5375 = a

4.5375 m/s^2

F = ma

850 x 4.5375

3856.875 N



 
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discosucks said:
v^2=u^2+2as
Method looks right. (I haven't checked your arithmetic.)
 
It seems right ,,.
 
Great! thanks lads! this site rocks! need to find a similar one for chemistry and biology haha
 

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