Net Force on 1.6t Car on 40o Banked Icy Road

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SUMMARY

The net force acting on a 1.6-ton car parked on a banked icy road at a 40-degree angle is calculated using the formula Fd = mgsin(θ). The correct calculation involves converting the mass from tons to kilograms, resulting in 1600 kg. The gravitational force is then computed as 1600 kg * 9.8 m/s² * sin(40°), ensuring that the units are consistent throughout the calculation.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with trigonometric functions, specifically sine
  • Knowledge of unit conversion, particularly from tons to kilograms
  • Basic grasp of forces acting on inclined planes
NEXT STEPS
  • Study the application of Newton's laws in static equilibrium scenarios
  • Learn about the effects of friction on inclined surfaces
  • Explore trigonometric identities and their applications in physics
  • Investigate the concept of net force and its calculation in various contexts
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Physics students, educators, and anyone interested in understanding forces acting on objects on inclined planes, particularly in scenarios involving negligible friction.

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Homework Statement


what is the net force acting on a 1.6t car initially parked on a smooth icy road banked at 40o. (frictional forces are negligible)


Homework Equations


Fd=mgsin[tex]\theta[/tex]


The Attempt at a Solution


I'm not too sure.
1600 x 9.8 x sin40

but it = the wrong number?? help!
 
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chem_is_lovex said:

Homework Statement


what is the net force acting on a 1.6t car initially parked on a smooth icy road banked at 40o. (frictional forces are negligible)


Homework Equations


Fd=mgsin[tex]\theta[/tex]


The Attempt at a Solution


I'm not too sure.
1600 x 9.8 x sin40

but it = the wrong number?? help!

I believe you at least have a problem with units. What is the "ton" thing in terms of mks units? It's good to get in the habit of carrying units along in your equations, and multiplying and dividing them out just like you are doing with the numbers. If you are calculating a force in mks units, the answer's units had better be in kg*m/s^2, right?
 

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