How Do Forces Affect Acceleration on a Frictionless Surface?

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SUMMARY

The discussion focuses on calculating the forces acting on a 20 kg box on a frictionless surface under different acceleration scenarios. When the box accelerates at 11 m/s², the net force is determined to be 220 N, derived from Newton's second law (force = mass x acceleration). In contrast, when the box accelerates at 1 m/s², the net force is lower, leading to the conclusion that the individual forces acting on the box are 120 N and 100 N, respectively. The key takeaway is the importance of analyzing both acceleration cases to isolate the individual forces.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of force, mass, and acceleration calculations
  • Familiarity with algebraic manipulation of equations
  • Concept of net force in physics
NEXT STEPS
  • Study Newton's second law in detail
  • Learn how to resolve forces in different directions
  • Explore the concept of net force and its applications
  • Practice problems involving frictionless surfaces and varying accelerations
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Physics students, educators, and anyone interested in understanding the dynamics of forces and motion on frictionless surfaces.

beocom6000yello
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a 20 kg box is on frictionless surface acted on by two horizontal surfaces. when in same direction, it pulls 11 m/s but in opposite directions, it pulls only 1 m/s. determine magnitude of each force.
answer: 120 N , 100 N

okay...i need help with this. i am using Newtons law: force=mass x accelleration
i am trying to find force. mass is 20 kg and accelleration is 11 m/s. when i plug in that number, i get 220N. can someone please help?
 
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beocom6000yello said:
a 20 kg box is on frictionless surface acted on by two horizontal surfacesyou mean forces[/color]. when in same direction, it pullsyou mean accelerates[/color] 11 m/sm/s^2 [/color]but in opposite directions, it pulls only 1 m/s accelerates 1m/s^2[/color]. determine magnitude of each force.
answer: 120 N , 100 N

okay...i need help with this. i am using Newtons law: force=mass x accelleration
i am trying to find force. mass is 20 kg and accelleration is 11 m/s. when i plug in that number, i get 220N. can someone please help?
You've got a couple of typos here, as noted above. Otherwise, you have solved for the net force when the body is accelerating at 11m/s^2. 220N is the net force. It is the algebraic sum of the 2 forces. You need to look at the 1m/s^2 acceleration case to get another equation before you can solve for the individual forces.
 

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