Magnitude + direction of block on an incline

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SUMMARY

An 800 gm block slides down an inclined plane at a 30° angle, accelerating at 1.5 m/s² with a coefficient of kinetic friction (uk) of 0.4. To find the total force exerted on the block by the plane, one must calculate the gravitational force, frictional force, and the net force acting on the block. The direction of the total force is determined by measuring the angle counterclockwise from the vertical.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Knowledge of forces on inclined planes
  • Familiarity with frictional force calculations
  • Ability to perform vector resolution of forces
NEXT STEPS
  • Calculate the gravitational force acting on the block using the formula Fg = mg.
  • Determine the frictional force using the equation Ff = uk * N, where N is the normal force.
  • Apply Newton's Second Law to find the net force acting on the block.
  • Use trigonometry to find the angle of the total force relative to the vertical.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and inclined planes, as well as educators looking for practical examples of force analysis.

jspek9
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A 800 gm block slides down an inclined plane that makes an angle of 30° with the horizontal. It accelerates at 1.5 m/s2. uk=.4
Find the magnitude and direction of the total force exerted on the block by the plane. For the direction, give the angle as measured counterclockwise from the vertical (in degrees).

Can anyone give me any insight on how to go about this? I'm completely lost.
 
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jspek9 said:
A 800 gm block slides down an inclined plane that makes an angle of 30° with the horizontal. It accelerates at 1.5 m/s2. uk=.4
Find the magnitude and direction of the total force exerted on the block by the plane. For the direction, give the angle as measured counterclockwise from the vertical (in degrees).

Can anyone give me any insight on how to go about this? I'm completely lost.

Homework Statement



Homework Equations



The Attempt at a Solution


Draw a picture of the block. Draw and label the various forces. If it is being accelerated then there must be a net force that is the cause.

Write an equation and solve.
 

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