Force of friction of this cart on wheels with a motor driven propeller

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SUMMARY

The discussion focuses on calculating the force of friction for a cart with a mass of 250 g, propelled by a motor-driven propeller exerting a force of 0.3 N, moving down a 30-degree incline with an acceleration of 3.5 m/s². To determine the force of friction, one must first calculate the net force acting on the cart using Newton's second law. A free body diagram should be drawn to identify the forces involved, and then the friction force can be solved to find the coefficient of friction (μ).

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Ability to draw and interpret free body diagrams
  • Knowledge of basic trigonometry for incline calculations
  • Familiarity with the concept of coefficient of friction
NEXT STEPS
  • Calculate net force using the formula F_net = mass × acceleration
  • Draw a free body diagram to visualize forces acting on the cart
  • Determine the friction force using the equation F_friction = F_applied - F_net
  • Calculate the coefficient of friction (μ) using the formula μ = F_friction / F_normal
USEFUL FOR

Students in physics, engineers working on mechanical systems, and anyone interested in understanding the dynamics of motion on inclined planes.

jenn3999
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can anyone show me how to solve this problem?


a cart on wheels with a mass of 250 g has a motor driven propeller with a force P of .3 N, and it moved down an incline of 30 degrees with an acceleration of 3.5 m/s^2.

What is the force of friction ?

determine coefficient of friction
 
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1) Determine the net force acting on the cart (you know its mass and its acceleration)
2) Draw a free body diagram; what forces are responsible for this net force?
3) Solve for Friction Force and then mu
 

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