How Much Force Is Needed to Accelerate a 35kg Mass Up a 25 Degree Incline?

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SUMMARY

To calculate the force needed to accelerate a 35 kg mass up a 25-degree incline at 3 m/s² with a coefficient of friction of 0.11, the formula F_net = ma is essential. The net force must account for both gravitational and frictional forces acting on the mass. The gravitational force component acting down the incline is calculated using F_gravity = m * g * sin(θ), while the frictional force is F_friction = μ * N, where N is the normal force. The total force required is the sum of these forces plus the force needed for acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law (F_net = ma)
  • Knowledge of trigonometric functions (sine and cosine)
  • Familiarity with the concept of friction and coefficient of friction
  • Basic principles of inclined plane physics
NEXT STEPS
  • Study the derivation of forces on an inclined plane
  • Learn how to calculate normal force in inclined scenarios
  • Explore the effects of varying coefficients of friction on motion
  • Practice problems involving multiple forces acting on an object
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone needing to solve problems related to forces on inclined planes.

bgoble
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i have a question on what fromula i would need to do this problem i have been trying for thje last half hour and have come up with little to nothing

What force would be needed to accelerate a 35 kg mass up a 25 degree incline at 3 m/s/s if the coefficient of friction is .11?

i drew a FBD with triangle and the inner right triangle with sin and cos. I've tried F=ma and can't come up with anything. i need and answer very soon please, if possible.its a take home test:)
 
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The only formula you need is Fnet = ma. What does all your work look like?
 

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